Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35

Answers

Answer 1

Answer:

7x = -35

Step-by-step explanation:

11x -3y = -17

-4x + 3y = -18

Add the two equations together

11x -3y = -17

-4x + 3y = -18

--------------------------

7x + 0y = -35

7x = -35

Answer 2

Answer:

7x=-35

Step-by-step explanation:


Related Questions

In the function F(t) = 50(1.274, what is the rate of change?
O A. 2% decay
O B. 20% decay
O C. 20% growth
O D. 2% growth

Answers

Answer:

c

Step-by-step explanation:

math

Which sequence of transformations proves that shape I is similar to shape II?

Answers

Answer:

I believe the answer is B. translation 6 units right, and then a 90 degree clockwise rotation about the origin.

Step-by-step explanation:

Because if you try a by reflecting it across the x axis and then tranforming it 6 units to the right you get a differenct graph. The same  thing happens if you try c by rotating 180 degress counter clockwise about the origin!

I hope this helps, if it does please mark brainliest!!! Thank you. Have a great day :)

Mattie ordered 51 vegetable pizzas and pepperoni pizzas for the eighth-grade party. The number of vegetable pizzas, v, was 3 more than 5 times the number of pepperoni pizzas, p. How many pepperoni pizzas did she order? 6 8 11 12

Answers

Answer:

8 pepperoni pizzas

Step-by-step explanation:

p4+3=v

40+3=43 then add 8 to the 43 and you'll have 51 total.

Answer:

B.8 pepperoni pizzas

Step-by-step explanation:

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?

Answers

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

[tex]y = mx + b[/tex]

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

[tex]47.84 = 1.55 * 15 + b[/tex]

[tex]47.84 = 23.25 + b[/tex]

Subtract 23.25 from both sides

[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]

[tex]24.59 = b[/tex]

[tex]b = 24.59[/tex]

Solving for the monthly cost for 9 HCF

Here, we have that

[tex]x = Amount\ of\ water = 9[/tex]

[tex]m = Slope = 1.55[/tex]

[tex]b = 24.59[/tex]

Substitute these values in the linear function; [tex]y = mx + b[/tex]

[tex]y = 1.55 * 9 + 24.59[/tex]

[tex]y = 13.95 + 24.59[/tex]

[tex]y = 38.54[/tex]

Hence, the monthly cost for 9 HCF is $38.54

Complete the recursive formula of the arithmetic sequence -17, -8, 1, 10,... a(1)= a(n)=a(n-1)+

Answers

To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.

Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.

First term of sequence of arithmetic (a₁) is -17 and aₙ is -17 + 9(n-1)

What is arithmetic sequence?

A arithmetic sequence is defined as an arrangement of numbers which is particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

What is geometric sequence?

The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Given data :

The arithmetic sequence -17, -8, 1, 10,...

First term of sequence of arithmetic (a₁) = -17

The common difference of arithmetic (d) = difference between the two term

The common difference of arithmetic (d) = -8 - (-17)

The common difference of arithmetic (d) = -8 + 17

The common difference of arithmetic (d) = 9

To determine the n term of arithmetic sequence

The nth term of a arithmetic sequence is expressed as :

aₙ = a₁ + (n-1)d

substitute the values of a₁ and d in the formula,

aₙ = -17 + (n-1)9

Let n = 5

a₅ = -17 + (5 - 1)9

a₅ = -17 + (4)9

a₅ = -17 + 45

a₅ = 28

Learn more about arithmetic sequence here :

brainly.com/question/21961097

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Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-3. 1) H(-5, -2) Note: Be prepared to explain your answer to this type of question on the test using length and slope. a) Rectangle b) Triangle c) Rhombus d) Square ---------------------------------------------------------------------------------------------------------------------------- What would prove the parallelogram PWRS is a rhombus? P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2) a)Length of QR is 2.2 and slope of QR is -2 b) Slope of QR and PS is -2 and Slope of RS and QP is -1/2 c) Length of QS and PR is 4.2 d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2

Answers

Detailed explanation:

The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:

The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.

Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.

= √[(-5 - (-3))² + (-2 - 1)²]

= √[(-2)² + (-3)²]

= √[4 + 9] = √13

Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2

Let's examine the outcomes now:

The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).

In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.

Therefore, the correct answer is c) Rhombus.

For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.

For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.

To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.

Let's analyze each option:

a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.

Diagonals are also congruent.

To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.

Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.

Since the diagonals are not congruent, the parallelogram is not a rectangle.

b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.

c) Rhombus: In a rhombus, all sides are congruent.

The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.

The slope of EF is -3/2, while the slope of GH is -3/2.

Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.

d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.

Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.

In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.

For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.

However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.

For similar question on parallelogram.

https://brainly.com/question/20526916  

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Find the equation of the line: With an x intercept of 4 and ay intercept of −1.5.

Answers

Answer:

y = (3/8)x - 1.5

Step-by-step explanation:

Use the slope-intercept form y = mx + b.  Substitute -1.5 for b, 4 for x and 0 for y.  Then:  0 = m(4) - 1.5, or

4m = 1.5, or

The slope is m = 1.5/4, or m = 0.375, or m = 3/8.

Note that the x-intercept can be treated just like any other point:  (4, 0)

Then the desired equation is     y = (3/8)x - 1.5

Answer:

[tex]\boxed{y=\frac{3}{8} x-1.5}[/tex]

Step-by-step explanation:

Part 1: Determining slope from two given points

We are given the points [tex]x=4[/tex] and [tex]y=-1.5[/tex]. We can go ahead and make the first part of the equation because we are given one of the unknowns (the y-intercept, or [tex]b[/tex]). The equation becomes [tex]y=mx-1.5[/tex].

Part 2: Determine the coordinate points

[tex]x=4[/tex] is a x-intercept, meaning it crosses the x-axis at this point. The y-value is [tex]0[/tex] ⇒ [tex](4, 0)[/tex] is the first point.

[tex]y=-1.5[/tex] is a y-intercept, meaning it crosses the y-axis at this point. The x-value is [tex]0[/tex] ⇒ [tex](0, -1.5)[/tex] is the second point.

Now, plug these values into the point-slope formula: [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-1.5 - 0}{0 - 4}[/tex][tex]m = \frac{-1.5}{-4}[/tex][tex]m = \frac{3}{8}[/tex]

Plug this information into the equation to get your final answer of [tex]\boxed{y=\frac{3}{8} x-1.5}[/tex].

How many complex roots does the polynomial equation below have?
x5 - 3 = 0
01
02
O 3
5

Answers

Answer:

4.

Step-by-step explanation:

I will have one real root = fifth root of 3.

As it has a total of 5 roots ( By the Fundamental Theorem of Algebra) then it must have 4 complex roots.

Answer:

the answer is actually 5

Step-by-step explanation:

to state the number of complex roots you need to find the variable with the highest exponent and whatever number the exponent is is how many possible answers there are which is  what they are asking in the question. so whatever exponent  is the biggest in the problem is the number of complex roots. so since 5 is the only exponent its the largest exponent in the polynomial equation meaning brainlyest is wrong 5 is the answer

Find the slope of the line in the graph
answer choices:
a. 2
b. -2
c. -1
d. 1

Answers

Answer:

1

Step-by-step explanation:

We pick two points on the line and use the slope formula

Two points ( 0,2) and ( 1,3)

m = ( y2-y1) / ( x2-x1)

    = ( 3-2) /( 1-0)

    =  1 /1

  = 1

Answer:

d. 1

Step-by-step explanation:

Well to find slope we'll use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

We'll use the points (0,2) and (1,3),

y2 is 3 y1 is 2 3-2 = 1

1-0 = 1

Thus,

the answer is d. 1.

Hope this helps :)

Students in Mr. Taylor's physics class conducted an experiment by dropping a basketball from a height of 40 feet and then recording the ball’s height after each bounce. The ball climbed to a height of 20 feet after the first bounce, and 10 feet after the second bounce. If this pattern continues, how many feet high will the ball climb after the third bounce? Input the answer using numbers only.

Answers

Answer:

The answer would be 5 feet

Step-by-step explanation:

The class dropped the ball from 40 feet than after the ball bounced again it went to 20 feet than after the 2nd bounce it went to 10 feet and the pattern so far goes 40, 20, and 10. We need to find the common pattern of these 3 numbers and find the 4th number or [tex]x[/tex] so to find the 4th number you can see that if you divide every number by 10 than you will get 4, 2, and 1 which you can see when divided by 2 every time goes to the next number so 4 divided  by 2 is 2 and 2 divided by 2 is 1 so we can assume 1 divided by 2 will be x divided by 10 so 1/2 is 0.5 so x divided by 10 is equal to 0.5 so the equation would be [tex]\frac{x}{10} =0.5[/tex] so we could multiply by 10 on both sides so we would get x = 5 so the final answer would be 5.

6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ? WILL MARK BRAINLIesT

Answers

Answer:

96

Step-by-step explanation:

Using side b as the base, 4 points makes 3 bases (the space in between).  With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments.  This equals 6 bases. Each of these can connect to a point on line a. 6x6=36

Using side a as the base, 6 points makes 5 bases.  With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments.  This equals 15 bases.  Each of these can connect to a point on line b.  15x4=60

36+60=96

Answer:

10

Step-by-step explanation:

HALPP The number of sets of two or more consecutive positive integers whose sum is 100 is ~~~~~~~ (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Answers

Answer:

E.5

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

if jonny have 3x6 dish sope how much do he have

Answers

Answer:

3x6 dish soap = 18 dish soap

Step-by-step explanation:

Answer:

18 dish soaps

Step-by-step explanation:

Jonny has 3x6 dish soaps which is equal to 18 because if he has 3 rows and 6 columns and you multiply that you will get 18 dish soaps

8. The formula for converting degrees Fahrenheit (F) to
degrees Celsius (C) is C = (F-32). Find C for F = 59°,
9
A 27°
B 33°
C 15°
D 49

Answers

Answer:

C 15°

Step-by-step explanation:

Since the formula for converting Fahrenheit to Celsius is (F - 32) × 5/9

F = 59°

59 - 32 = 27°

27 × 5/9 = 27 divided by 9 is 3

3 × 5 = 15° Celsius

The answer to that is c 15

ordered pair for the point

Answers

Answer:

Step-by-step explanation:

(4, -3)

Answer:

(4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = 4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(4,-3)

Answer this pls fast ASAP

Answers

Answer:

14.13 units^2.

Step-by-step explanation:

The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.

pi * 3^2 = pi * 9 = 9pi.

This is a semicircle, so the area will be half of the whole circle.

9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.

Hope this helps!

Answer:

14.13

Step-by-step explanation:

6/2=3

3^2=9

9x3.14=28.26

28.26/2=14.13

Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 1 = 5x
double root
real and irrational root
real and rational root
imaginary root
Help please

Answers

Answer:

It is an imaginary root.

Step-by-step explanation:

When we rearrange the formula, we get 7x^2 - 5x + 1 = 0

When we put it in the quadratic formula: x = (−b±√b^2−4ac ) over 2a, we get x = 5 ± √-5^2-4(7)(1) over 2(7)

The discriminant is inside the square root. It is a -3. And because it is negative, we know that the root is an imaginary root.

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?

1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

Answers

Answer:

44kg of cereal, 16kg of nuts

Step-by-step explanation:

Step 1. We work out how much the party mix would cost if all of it was nuts.

$2.50 x 60kg = $150

Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.

$1.40 x 60kg = $84

Step 3. We work out the difference between the two above numbers.

$150 - $84 =$66

Step 4. We work out the difference between the nut mix and the cereal mix.

$2.50 - $1 = $1.50

Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.

$66 ÷ $1.50 = 44

Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.

60kg - 44kg = 16kg

Step 7. We double check.

44kg of cereal = $44          16kg of nuts = $40           $44 + $40 = $84    

$84 ÷ 60kg = $1.4 per kg

Hope this helped!

Bluey :)

I’ll give brainliest to the person who answers this right. Please help!!

Answers

Answer:

3.43

Step-by-step explanation:

To do this you would first find the area of the square which is 16. Then you would find the area of the 2 semicircle or just on whole circle. We are just going to use the formula for a whole circle since there are 2 semicircles. The formula to find a circle is pi times r^2 so we are going to put that into a calculator so we would do pi times 2 (radius of circle)^2 which is 12.57 and we would subtract 16 by 12.57 which is 3.43

Answer:

3.44 units^2

Step-by-step explanation:

Area of a square = l * w

Area of a circle = 3.14 * r^2

Area of semicircle = 3.14 * r^2 * 1/2

Area of shaded region: Area of square - Area of 2 semicircles

Area of square => 4 * 4 = 16

Area of both semicircles => (3.14 * r^2 * 1/2)*2 = 12.56

16 - 12.56 = 3.44

3.44 units^2 is the answer

I hope this helps!

if 2x+1/4 = 12/20 what is the value of x

Answers

Answer:

7/10 or 0.7

Step-by-step explanation:

cross multiply to get 40x+20=48

subtract 20 from both sides to get 40x=28

divide both sides by 40 to get 7/10

HOPE THIS HELPS!!!:)

Answer:

0.7 or 7/10

Step-by-step explanation:

Step 1: Cross-multiply.

2x+1  / 4  =  12 /20

(2x+1)*(20)=(12)*(4)

40x+20=48

Step 2: Subtract 20 from both sides.

40x+20−20=48−20

40x=28

Step 3: Divide both sides by 40.

40x /40  =  28 /40

x= 7 /10

Answer:

x= 7 /10

7/10 = 0.7

What is the median of the following numbers? 1,2,10,6,4,4,6,3,1,4

Answers

Answer

Answer= 4

Step-by-step explanation:

The answer is 4 because for the median you have to put the numbers from smallest to largest.

When you have done that you have to find the middle number which in this case is 4.

Hope that helps you

Median

1. Order data from least to greatest

2. Find the center of the data set

If there is no distinct center to your data,

find the mean of the two middle numbers.

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Since there is the two middle numbers are the same,

the median will be the number that appears two times.

In this case, the median is 4.

Write a introduction paragraph on Cycling ( English)

Answers

Answer:

Let's look back at the history of the world and reflect on some of the great new methods of transportation that have been invented. There were cars, motorbikes, cycles, carriages, trains, boats, carts and horseback. Cycles have by far been the most economical and productive to use. The first was made in 1817 by Karl von Drais. Since then, many improvements and changes have been made to the original design, like making equally sized wheels, adding rubber tires, etc.

Answer:

Cycling, also called bicycling or biking, is the use of bicycles for transport, recreation, exercise or sport. People engaged in cycling are referred to as "cyclists", "bicyclists", or "bikers". Apart from two-wheeled bicycles, "cycling" also includes the riding of unicycles, tricycles, quadracycles, recumbent and similar human-powered vehicles (HPVs).

Bicycles were introduced in the 19th century and now number approximately one billion worldwide. They are the principal means of transportation in many parts of the world.

Cycling is widely regarded as a very effective and efficient mode of transportation optimal for short to moderate distances.

Bicycles provide numerous benefits in comparison with motor vehicles, including the sustained physical exercise involved in cycling, easier parking, increased maneuverability, and access to roads, bike paths and rural trails. Cycling also offers a reduced consumption of fossil fuels, less air or noise pollution, and much reduced traffic congestion. These lead to less financial cost to the user as well as to society at large (negligible damage to roads, less road area required). By fitting bicycle racks on the front of buses, transit agencies can significantly increase the areas they can serve

In addition, cycling provides a variety of health benefits. The World Health Organization (WHO) states that cycling can reduce the risk of cancers, heart disease, and diabetes that are prevalent in sedentary lifestyles. Cycling on stationary bikes have also been used as part of rehabilitation for lower limb injuries, particularly after hip surgery. Individuals who cycle regularly have also reported mental health improvements, including less perceived stress and better vitality.

Among the disadvantages of cycling are the requirement of bicycles (excepting tricycles or quadracycles) to be balanced by the rider in order to remain upright, the reduced protection in crashes in comparison to motor vehicles, often longer travel time (except in densely populated areas), vulnerability to weather conditions, difficulty in transporting passengers, and the fact that a basic level of fitness is required for cycling moderate to long distances.

Hope this helps.....

                               Pls Mark my ans as brainliest :)

An arithmetic sequence is represented in the following table. Enter the
missing term of the sequence.

Answers

Answer:

387

Step-by-step explanation:

we can  use the formula y=-81+(x-1)13, because 13 is the common difference

then plug 37 in for x

you get y=-81+36(13)

which simplifys down to 387

PRE algebra !!! PLEASE HELP! Ruth plays on the school basketball team. The table shows the team's results and Ruth's results for each game. What is the experimental probability that Ruth will score 9 or more points in the next game? Express your answer as a fraction in simplest form. 1/7 7/6 6/7 7/1

Answers

Answer:

6/7

Step-by-step explanation:

Ruth has played 7 games.  She has scored 9 or more points in 6 of them.  That means she has a 6/7 probability of doing so again.

Answer:

6/7

Step-by-step explanation:

Which word best describes the degree of overlap between the two data sets? none high low moderate

Answers

Answer:

none it is

Step-by-step explanation:

-yoda

correct it is

Answer:

its none i took the test

Step-by-step explanation:

A farmer has the same number of chickens, cows and goats. Together, all these animals have 210 legs. How many chickens live on this farm?

Answers

210 Legs is equal to 105 Chickens

Answer: 35 chickens

Step-by-step explanation:

210/3=70

70/2=35

On December 31, 2018, a share of a cosmetics company was worth $53.85. If the company
paid a year-end dividend of $4.75 per share, what is the dividend yield of the shares of the
company?​

Answers

Answer:

Step-by-step explanation:

%($4.75 divided by 53.85) or is it the other way around. I always get these confuzzled.

Hope this helps some. That is the equation to solve for it. Sorry I wasn't much help on this subject

Answer:

it is 8.82% i did the test

((PLEASE HELP ASAP!! D:)) Natasha bought a tennis racket that was marked down in price, p, by 20%. Write an expression with TWO terms representing the price Natasha paid.

Answers

Answer: p - 0.2p

Step-by-step explanation:

Given the following :

Original Price of tennis racket = p

Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p

Amount after discount = Amount paid by Natasha

Amount after discount = Original price - Discount

Amount after discount = p - 0.2p

Amount paid by Natasha = p - 0.2p

What is the upper quartile of this data set?
82, 97, 98, 100, 102, 102, 106, 112

Answers

Answer:

104

Step-by-step explanation:

In this set data set (82, 97, 98, 100, 102, 102, 106, 112) the median is 101

This means that the upper quartile is 104

To find the upper quartile, you take the numbers that come after the median, and find the median of that set. So when finding the upper quartile of this data set, you will only look at the numbers 102, 102, 106, 112, and the median of this is 104.

Answer:

104

Step-by-step explanation:

The upper quartile is the median of the upper half of the data set, and that is 104.

:)

Which is the graph of y = [x] - 2?

Answers

Answer: Top row, third option (far right)

Explanation:

The notation [tex]\lfloor x \rfloor[/tex] means "floor of x". Whatever decimal value x is, we just ignore the decimal portion and just focus on the integer part. We round down to the nearest whole number. We always round down.

For something like x = 2.5 or x = 2.7, the value of [tex]\lfloor x \rfloor[/tex] will be 2. It doesn't matter that 2.7 is closer to 3 than it is to 2. The interval [tex]2 \le x < 3[/tex] will be entirely on the x axis since we are taking the result of the flooring operation and subtracting off 2. Notice how x = 3 is not included. This is because x = 3 leads to y = 1 instead of y = 0. So we have an open hole at the end of the interval. The same goes for any other piece as well.

Answer:

The Third option [ far right]

Other Questions
How does a leaf protect itself from unwanted intruders like bacteria from getting in and stopping important reactants from going out? Eight-month old Jonathan was playing with a set of his mother's car keys, which had some sharp edges on them. His mother took the keys away and hid them, which made Jonathon start to cry, but he stopped immediately when she gave him his favorite stuffed animal. What Piagetian concept does this illustrate? Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year. a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? A mixture of water and graphite is heated to 600 K in a 1 L container. When the system comes to equilibrium it contains 0.17 mol of H2, 0.17 mol of CO, 0.74 mol of H2O, and some graphite. Some O2 is added to the system and a spark is applied so that the H2 reacts completely with the O2.Find the amount of CO in the flask when the system returns to equilibrium. Express your answer to two significant figures and include the appropriate units. Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is particularly hazardous to infants under the age of 6 months. The maximum contaminant level (MCL) is the highest level of a contaminant the government allows in drinking water. For nitrates, the MCL is 10mg/L. The health department wants to know what proportion of wells in Madison Count that have nitrate levels above the MCL. A worker has been assigned to take a simple random sample of wells in the county, measure the nitrate levels, and assess compliance. What sample size should the health department obtain if the estimate is desired to be within 2% with 95% confidence if: (hint: there are two different methods)There is no prior information available? The United Auto Workers went on strike support the employees of the Detroit News, Detroit Free Press, and USA Today. This is an example of a(n) ________ strike.a. unfair labor practiceb. wildcatc. sympathyd. yellow doge. economic In Only Daughter, what information mainly do these two paragraphs convey about the author? We came back, of course. To yet another Chicago flat, another Chicago neighborhood, another Catholic school. Each time, my father would seek out the parish priest in order to get a tuition break, and complain or boast: I have seven sons. He meant siete hijos, seven children, but he translated it as sons. I have seven sons. To anyone who would listen. The Sears Roebuck employee who sold us the washing machine. The short-order cook where my father ate his ham-and-eggs breakfasts. I have seven sons. As if he deserved a medal from the state. a) It shows the authors dislike of her brothers. b) The author believes that her father deserves to be recognized by the state. c) It explains the authors feeling that she is not important to her father. d) It reveals the author prefers to speak English. By the end of the reign he [Jonson] has married, had two children and lost one, tried to become an actor and failed, become a playwright, been arrested for a scurrilous play and released, killed another actor in a duel, been arrested again and put on trial for murder, and escaped hanging by pleading benefit of the clergy. The play for which he is arrested, The Isle of Dogs, coauthored with Thomas Nashe, is so slanderous and offensive that the privy council orders the closure not just of the play but of every theater in London.Which event most directly caused the council to order the closure of all theaters in London What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent. Which of the following examples illustrates an oligopoly market? a. a farmers market with many individuals selling sweet corn and tomatoes b. a city whose electrical service is provided by one electric co-operative c. a city with two firms who are licensed to sell school uniforms for the local schools d. a city with many independently-owned hair styling salons The most diverse and prevalent organisms on earth are We will pass in a value N. Write a program that outputs the complete Fibonacci sequence for N iterations. Important: If N is 0, then we expect to get an output of 0. If N=1 then we expect 0, 1 etc. How to do this? what is the answer?? Let T:VW be a linear transformation from a vector space V into a vector space W. Prove that the range of T is a subspace of W. If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?NO5496 Hey loves!!! Can any of you lovely people help me with my math? Which amino acid chain will be formed by the codons shown below?ACU CCA UCGMessengerSecond base in codonRNA Codons UAGUUU UCUUAUUGU UUUCPheUCC UACTyrUGCCysUSerUUALeuUCA UAA Stop UGA Stop AUUG UCG UAG Stop UGG Tep GCUU CCU CAU CGUUHisCUC CAC) CGCLeuProArgCUA CCA CAA CGAAGinCUG CCG CAG CGGI GAUU) ACUAAUUAsnAGUSCAUClle ACCAAC AGCAThrAUA ACA AGAAUGStart Me ACG AAG AGGGUU GCU GAU GGUUAspGUC GCC GAC GGCValAlaGlyGUA GCAGGA AGUG GCG GAG) GGGGcFirst base in codon= 0 < =0 < = conocoThird base in codonLysArgGGAA GluA. Thr-Pro-PheB. Thr-Pro-SerC. Asn-Pro-SerD. Thr-Ser Pro Jamal is part of a management group that is examining whether his company, State Engineering, should offer some important new services that would broaden its business by appealing to a different group of potential clients. Jamal's group is involved with: Ridgeway explains his position as follows: "I'm a notion of order.The slave that disappears--it's a notion, too. Of hope. Undoingwhat I do so that a slave the next plantation over gets an idea that itcan run, too. If we allow that, we accept the flaw in the imperative.And I refuse" (223). What is the "flaw in the imperative," and whyis it important for Ridgeway and the broader institution ofenslavement that relies on Black bodies, that the flaw isexterminated? Why is the hope of freedom so dangerous? The region of magnetic influence around either pole of a magnet is called the magnetic field. The magnetic field line points out from the south magnetic pole and in from the north magnetic pole. This statement is: