1. |2x + z| + 2y


a = –2, b = –3, c = 2, x = 2.1, y = 3, and z = –4.2.

2. 4a – |3b + 2c|

Answers

Answer 1

Answer:

6 and -13

Step-by-step explanation:

Absolute Value

Absolute Values are magnitudes (only positive values) of any values (be it positive or negative.)

Example: |4.5| = 4.5, |-6.7| = 6.7

Solution

1. |2x + z| + 2y

= |2(2.1) + (-4.2)| + 2(3)

= |4.2 - 4.2| + 6

= 0 + 6

= 6

2. 4a - |3b + 2c|

= 4(-2) - |3(-3) + 2(2)|

= -8 - |-9 + 4|

= -8 - |-5|

= -8 - 5

= -13


Related Questions

What is the answers for 9 and 11?

Answers

The total amount in the bank after the specific number of years is;

9.  $476. 1

11. $7, 128. 8

How to determine the amount

The formula for calculating simple interest is expressed as;

I = PRT/100

Where;

I is the simple interestP is the principal amountR is the interest rateT is the time taken

From the information given, we have that;

9.Principal amount = $450

Interest rate = 1.45

Time = 5

Substitute the values into the formula

SImple interest = $450 ×1. 45× 5/100

Multiply the values, we get;

Simple interest, I = 2610/100

Divide through

Simple interest = $26. 1

Total amount = $450 + $26.1 = $476. 1

11. Principal amount = $5600

Interest rate = 3.9

Time = 7 years

Substitute the values

Simple interest = $5600× 3. 9 × 7/100

Multiply the values

Simple interest = 152,880/100

Simple interest = $1528. 8

Total amount = $7, 128. 8

Hence, the values are $476. 1 and  $7, 128. 8

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3 consecutive even numbers add to make 72.
What are the 3 numbers?
Show your working

Answers

72 divided by 3 is 24. 24 x 3 =73

Here it is . Sorry for bad handwriting

Find area of trapezium

Answers

Answer:

To find the area of a trapezium you do 1/2(a + b)h

Step-by-step explanation:

What is the volume of a hemisphere with a diameter of 30.3 ft, rounded to the
nearest tenth of a cubic foot?

Answers

Answer: its is 300 hope this helps Pls give me brainly

Step-by-step explanation: Remember that the tens place is two moves from the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the ten place (0) and look to the right (3):

303

Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero), then we get 300 as the answer.

In short: 303 rounded to the nearest ten is 300.

Determine if the expression -3z2 is a polynomial or not. If it is polynomial, state
the
type and degree of the polynomial.

Answers

Therefore, the equation that best fits these scatter plot facts as the answer to this problem is y=661-0.1x.

Describe a scatter plot.

The term "scatter plot" refers to a particular sort of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that arise indicating any association between the data.

Given the correlation between the data at this moment and the graph provided in the question, y=661-0.1x is an equation that best captures the scatterplot's line of best fit.A scatter plot is a specific type of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that appear showing any associations between the data.

y=661-0.1x is the equation whose solution best fits this data.

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ST =19 and RT=67 find RS

Answers

Answer:

48

Step-by-step explanation:

I'm assuming all the points are on one line..

In that case you'd subtract the big segment (67) by the little segment (19) to get the other little segment

can someone please help me with this math problem! thank you! :)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:

  Tan = Opposite/Adjacent

Using the values on the diagram, we have ...

  tan(65°) = 18/y

Multiplying by y/tan(65°) gives ...

  y = 18/tan(65°)

  y ≈ 8.3935 ≈ 8.4

Find the length of AB.
AB = [? ]m
80°
8 m
В B.
Round your answer to the nearest hundredth.
Enter

Answers

The answer is 11.17 m. The formula for finding an arc length is y/360 (2piR) where y is the angle and R is the radius. 80/360 (2pi(8)) = 11.17

The arc length AB of the given circle = 11.16 m.

In the given circle,

Radius (r) = 8 m

Sector angle (θ) = 80 degree

We have to find arc length AB

Since we know that,

A curve contains an arc. A circle is the most common example of an arc, yet it may also be a section of other curved forms like an ellipse.

We also know that,

Length of arc of circle = (θ/360)x2πr

                                     = (80/360)x2x3.14x8

                                     = 11.16 m

Hence,

Required arc length of AB = 11.16m

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√xx − 2 = 7
a. 51
b. 27
c. 23

Answers

Answer: c=23

Step-by-step explanation: Honest guess

Eva gets £42 a month for her allowance. Out of this, for every £5 she spends, she saves £1 how much money does she spend in a month

Answers

Answer:

Eva spends £35 in a month.

Step-by-step explanation:

We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.

We are looking to find out how much money does she spend in a month.

To calculate this, we can use the following formula:

Spent money = Allowance - (Allowance / (5 + 1))

Plugging in the known values:

Spent money = 42 - (42 / (5 + 1))

Spent money = 42 - (42 / 6)

Spent money = 42 - 7

Spent money = 35

So, Eva spends £35 in a month.

When the equations 3x 5y 9 and 5x 3y 7 are solved then the value of x y 2?

Answers

When these equations are solved, the value of x is 4 and the value of y is 3. Therefore, the value of x + y = 7.

To solve the system of equations, we will use the elimination method.

First, we multiply the first equation by 3 and the second equation by 5.

3(3x + 5y = 9)

5(5x + 3y = 7)

Then, we add the equations together:

9x + 15y = 27

25x + 15y = 35

Now, we subtract the second equation from the first to eliminate the x terms:

-16y = -8

y = 0.5

Next, we plug this value for y into one of the original equations and solve for x:

3x + 5(0.5) = 9

3x = 8.5

x = 2.83

Finally, we plug the values of x and y into the original equation to verify that they are correct:

3(2.83) + 5(0.5) = 9

So, the value of x is 2.83 and the value of y is 0.5. Therefore, the value of x + y = 2.83 + 0.5 = 3.33.

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Which variation is represented by this situation:

Lisa and Maria are at a convention. There is enough food at the convention to feed 300 attendees for 4 days. If 400 people attend the convention, how long will the food last?

Answers

If 400 people attend the convention,

the food will last for 3 days.

What is inverse proportion?

Two quantities a and b are said to be in inverse proportion if an increase in quantity a, there will be a decrease in quantity b, and vice-versa. In other words, the product of their corresponding values should remain constant.  Sometimes, it is also known as inverse variation.

That is, if ab = k, then a and b are said to vary inversely. In this case, if b1, b2 are the values of b corresponding to the values a1, a2 of a, respectively then a1 b1 = a2 b2 or a1/a2 = b2 /b1

Given,

Food for 300 people will Last for 4 days.

Attending people = 400

Let the food for 400 will last for x days.

According to the question,

300 × 4 = 400 × x

x = 300 × 4 /400

x = 3

Hence, the food will last 3 days,

if 400 people attend the convention.

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What happens when a function tries to assign or change a value of a variable that has been defined at the module level

Answers

When Python constructs a function, it also generates a temporary variable with the same name, and only the function can access the value of that variable.

What is Using a temporary variable?Using a temp variable is the quickest and easiest way to switch the values of two variables. Using the formula temp = a, the first variable's value is stored in the temp variables. By doing this, you can change the values of the two variables so that a = b before assigning the value of temp to the second variable.Tuple packing and sequence unpacking are two additional methods for changing the values of two variables without the usage of a temporary variable. Using commas to divide up the pieces in a tuple is one method of creating a tuple. Additionally, Python examines a task's right side before its left. As a result, the variables are packed into a tuple on the right side of the statement by using commas to separate them, and they are unpacked on the left side using the same number of target variables separated by commas.As long as the statement has the same number of variables on both sides as there are variables, this approach of variable swapping and permutation can be applied to more than two variables.

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A quadratic equation is shown below: x2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points) Subtract 5 from both sides of the equation Subtract 3 from both sides of the equation Add 5 to both sides of the equation Add 3 to both sides of the equation

Answers

Answer:

Add 3 to both sides of the equation

Solution:

The first step is to basically realize that all it's asking you to do is to find a way to make the expression on the left ([tex]x^2 - 8x + 13[/tex]) into an expression that is a perfect square. So what number should you add to both sides such that [tex]x^2 - 8x + (13 + j)[/tex] can be factored into [tex](x-p)^2[/tex] ? Well, we can approach it like this:

Since [tex](x-p)^2[/tex] can be turned into [tex]x^2 -2px + p^2[/tex], and our original form was [tex]x^2 - 8x + (13 + j)[/tex], we quickly realize that [tex]-2px = -8x[/tex]. From there, we can easily tell that [tex]p = 4[/tex]

Plug this into our last value [tex]p^2[/tex] to get 16. Therefore, if we compare this with our original equation again [tex]x^2 - 8x + (13 + j)[/tex], we notice that 13 + j = 16.

Thus, j = 3 for the last answer.

Add 3 to both sides of the equation.

Note: With more practice, you will quickly gain enough intuition to notice that [tex]x^2 - 8x + 13[/tex] is very close to [tex]x^2 - 8x + 16[/tex] which can be factored into [tex](x-4)^2[/tex]. But for now, the solution above will suffice. I hope this helps :))

on the main floor of the Kodak halll at the easement they're the number of seats per row increase at a constant rate Steven counts 31 Seaton Rd. three and 37 Seaton Rd. six how many seats are there in a row 20

Answers

65 seats in 20th row.

What is direct proportion?

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, . In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

Given,

No. of seats in 3rd row = 31

No. of seats in 6th row = 37

Seats increase at a constant rate

Let k is the rate of increment.

Difference between no. of seats = k × difference between no. of rows

Difference of seats in 3rd and 6th rows = k difference between the no. of rows

37 - 31 = k ×(6-3)

6 = 3k

k = 2

Thus, we can determine

Difference between the no. of seats is twice the difference between the no. of rows.

Difference between 6th and 20th row = 14 rows

Hence the difference between number of seats = 2 × 14 = 28 seats.

No. of seats in 20th row = No. of seats in 6th row + 28 seats

No. of seats in 20th row = 37 + 28 = 65

Hence, there will be 65 seats in 20th row.

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Mhanifa please help! This is due soon

Answers

Answer:

By using the Pythagorean theorem, the sides form a right triangle:

36^2 + 15^2 = 39^2

If ABCD is dilated by a factor of the
coordinate of D' would be:
4-3
12
3
N
18
T
2
3
4
5
O
9 10
D'=([?]))
Enter

Answers

When ABCD is dilated by a factor of the coordinate of D' and the size of the coordinate point is, A"s coordinate would be (-6, -2) (-3, -1) .

what is coordinates ?

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

given

The coordinate point's size is specified as (-3, -1).

The coordinate A' will be supplied as follows if the coordinate A is dilatable by a factor of two: A' = (2(-3), 2(-1)) = (-6, -2)

Consequently, A"s coordinate would be (-6, -2)

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What is the answer to inequality?

Answers

The direction of inequality is reversed when you multiply or divide both sides by a negative value.

When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.

Example- x + 3 <= 10

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.

The solution set of an inequality is the set of all solutions.

The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.

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Which is equal to the cosine of

Answers

Answer:

The sine of the opposite angle

Is 9x2 42x 49 a perfect square trinomial?

Answers

No, 9x2 42x 49 is not a perfect square trinomial.

What is perfect squares?

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,

where a and b are numbers or variables.

9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.

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solve 6x - 14 < -14 or 3x + 10 > 13

Answers

Kkkjjkkkjjjjjjjjjjjsowkwno

Don’t mind where it says number 17 but plz help!!!SHOW YOUR WORK ON PAPER PLZ!

Answers

Answer:

sum of angles = 40 + (8x + 4) + (3x + 4) = 180

Collecting all similar terms, the equation above becomes

11x + 8 = 140 ---> x = 12

Therefore. angle S = 3x + 4 = 3(12) + 4 = 40

If dexter had 20 cookies and ate 6 cookies what is the percentage of the remaining cookies ?

Answers

Answer:

70%

Step-by-step explanation:

20-6=14.

14/20=0.7

0.7=70%

(tip, multiply the decimal by 100 to find percents. 0.7×100=70

70%
You have to subtract the starting number (20) with how many were eaten (6) getting 14 then 14/20 is .7 then .7x100 is 70

Part 1
Hi I really need help with some of these questions please I'm on a tight schedule with getting the rest of my work done so please if anyone can please help me I'm giving 45 points away please help me.

Also on the ones where you need to show the work please do if you can

I will post another part or these question and it will be worth 30 points

Answers

Answer:

1) c. AD || CE

2) solve them both first:

3y + 1 = 6x + 4                2y + 1 = x - 9

3y = 6x + 3                     2y = x - 10

y = 2x + 1 .                      y = 1/2x - 5

Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated

Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.

The answer is D, neither parallel nor perpendicular.

3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.

[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]

The answer is D.

4) d. GB || HC

5) d. 345.6

[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]

A ≈ 345.58 ≈ 345.6

6) first change the other equation (4x + 2y = 10) to slope-intercept form:

2y = -4x + 10

y = -2x + 5

because the line must be parallel, it has to have a slope = -2

That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.

7) best bet is a. EH and BC are coplanar, but I'm really not sure

8) d. DB and HF

9) first change the other equation (4x - 6y = 15) to slope-intercept form:

-6y = -4x + 15

y = 2/3x - 5/2

slope of the perpendicular line should be -3/2

y = -3/2x + a

9 = -3/2(6) + a

9 = -9 + a

a = 18

y = -3/2x + 18

which is the same as y - 9 = -3/2(x - 6), which is A

On Friday, 55% of the students at Wilson Middle School bought a hot lunch and the rest packed their lunch. What fraction of students packed their lunch? Select TWO that apply. A. 11/20 B. 45/100 C. 55/100 D. 9/20

Answers

Answer: B. 45/100 & D. 9/20

Step-by-step explanation:

100-55=45

45/100 works

45/5 = 9

100/5 = 20

9/20 is a simplified 45/100

What is
2(4x+4)
————
3

X =5

Answers

Answer and Step-by-step explanation:

First, distribute the 2 to the 4x and 4.

[tex]\frac{8x + 8}{3}[/tex]

This can be the final answer, or you can have it as [tex]\frac{8x}{3} +\frac{8}{3}[/tex].

I'm not sure about the X =5, but I think it is saying that x is equal to 5, so we will plug 5 in to the equation.

[tex]\frac{8(5)}{3} + \frac{8}{3} \\\\\\ \frac{40}{3} + \frac{8}{3} \\\\\\ \frac{48}{3} = 16[/tex]

When x is equal to 5, 16 is the answer.

#teamtrees #PAW (Plant And Water)

Solve for x.

x2=14


Responses

x=±18
x equals plus or minus 1 eighth

x=±12
x equals plus or minus 1 half

x=±116
x equals plus or minus 1 sixteenth

x=±2

Answers

The solution for x in the equation given as x² = 1/4 is (b) x = ±1/2

How to determine the solution for x

From the question, we have the following parameters that can be used in our computation:

An equation

The equation as poorly stated in the question is represented as

x2=14

When written properly

We have the following representation

x² = 1/4

Solving further, we need to take the square root of both sides of the equation

So, we have the following representation

√x² = ±√1/4

Evaluate the exponents on the left-hand side

So, we have the following representation

x = ±√1/4

Evaluate the exponents on the right-hand side

So, we have the following representation

x = ±1/2

Hence, the solution is (b) x = ±1/2

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The function f is defined by f(x) = mx + b, where m and b are constants. If f(0) = 18 and f(1) = 20, what is the
value of m?

Answers

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol.

What are 3 examples of a constant?

A few more constant examples are :

The number of days in a week represents a constant.

In the expression 5x + 10, the constant term is 10.In 2a, 2 is a constant.In -7mn, -7 is a constant.In 3x, 3 is constant.A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.There are four major constants that appear within mathematical calculations. These math constants are used in a whole variety of equations and formulae and are repeatedly seen in a variety of areas.The easiest way we can find a constant term in math is to look first for stand-alone numbers, and then for coefficients and variables that can be solved for. A variable cannot be solved for and return only one value if it has an exponent, such as x^2.A function is called no constant if it takes more than one value (if there is more than one element in its range).

Substitute:

m*o+b=18

m+b=20

Apply Zero Property of Multiplication:

b=18

m+b=20

Substitute into one of the equations:m+18=20

Rearrange unknown terms to the left side of the equation:m=20-18

Calculate the sum or difference:m=2

The solution of the system is:

b=18

m=2

The answer is b=18 m=2

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A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in:5hrs
help

Answers

multiple 5x 3 3/4 then change to an improper fraction

At a yard sale,Dan bought a used lawnmower for $60. that was 30% of what the mower cost when it was new. What was the original price of the lawnmower?

Answers

Answer:

30/100 X $60= $18.

The original price will be $60 + $18 = $78.

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My greatest concern now being that the sea, as it would carry me a great way towards the shorewhen it came on, might not carry me back again with it when it gave back towards the sea.The wave that came upon me again buried me at once twenty or thirty feet deep in its own body. I could feel myself carried with a mighty force andswitness towards the shore a very great way, but I held my breath, and assisted myself to swim still forward with all my might. I was ready to burst withholding my breath, when, as I felt myself rising up, so, to my immediate relief, I found my head and hands shoot out above the surface of the water. Though itwas not two seconds of time that I could keep myself so, yet it relieved me gready, gave me breath, and new courage. I was covered again with water a goodwhile, but not so long but I held it out and finding the water had spent itself, and began to return, I struck forward against the return of the waves, and feltground again with my feet. I stood still a few moments to recover breath, and till the waters went from me, and then took to my heels and ran with whatstrength I had further towards the shore. But neither would this deliver me from the fury of the sea, which came pouring in after me again; and twice more Iwas litted up by the waves and carried forward as before, the shore being very flat.The last time of these two had well-nigh been fatal to me, for the sea having hurried me along as before, landed me, or rather dashed me, against a piece1from Robinson Crusoeby Daniel DefoeSelect ALL the correct answers.Which two statements should be included in a summary of the passage?DCrusoe scales a grassy cliff and watches the waves at a safe distance.DWhen a wave crashes him against a rock, Crusoe fears the worstCrusoe is afraid he will be pulled further out to sea by the strong currentBecause of rough and powerful waves, Crusoe struggles to get to shore.The sea repeatedly batters Crusoe, but he does not give up hope for survival.0000Submit TestTools Which molecules do your cells get from food?(Select two answers)A) Amino AcidB) GlucoseC) OxygenD) Carbon Dioxide Based on the text, which of the following categories of people are at greatest risk for divorce? A)Young people who marry after a short courtship B)A couple facing a wanted and expected pregnancy C)A couple whose parents never experienced divorce D)Older people who have retired from paid work the field or fields on which records are sorted is called the sort key. true or false f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.C=(Type an integer or a decimal.) A golf ball rolls up a hill toward a miniature-golf hole. Assign the direction toward the hole as being positive. a. If the ball starts with a speed of 2.0 m/s and slows at a constant rate of 0.50 m/s2, what is its velocity after 2.0 s