Let r(x) = x2. If r(x) = 4, find x.

Answers

Answer 1

if r(x) = x² and r(x) = 4, then the value of x = ± 2

What is equivalent of value?

Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.

For example y = x+5 and the same y = 2x+7

then we can say that x+5 Is also equal to 2x+7

2x+7 = x+5

then x = -2

similarly r(x) = x²

thesame r(x) = 4

this means that x² = 4

solving for x

we find the square root of both sides

√x² = √4

x= ±2

It is ± because square root value as two possible values of either both positive or both negative.

Therefore the value of x is ±2

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Related Questions

I never help quick! A kaleidoscope is made of stained glass in the shape of a triangular prism. The bases are equilateral triangles. Find the surface area of the kaleidoscope

Answers

Answer:

46.8 in²

Step-by-step explanation:

Total surface area comprises of two bases and 3 faces:

S = 2(1/2*1.5*1.2) + 3(1.5*10) = 46.8 in²

Answer:

Solution given:

length=10in

again

base=2√{1.5²-1.3²)=1.49

Total surface area =lateral surface area +2 curved surface area

=perimeter of triangle ×length +2×1/2 base×height

=(1.49+1.5+1.5)×10+1.3×1.49=46.837in²

symplify the following equation 28 - 3(2+4) divided by 9

Answers

Answer:

10 / 9

Step-by-step explanation:

[ 28 - 3 ( 2 + 4 ) ] / 9

= [ 28 - 3 ( 6 ) ] / 9

= [ 28 - 18 ] / 9

= 10 / 9

f ( x ) = 0.1 ( 3 x − 2 ) aWhat is the value of f ( 5 ) ?

Answers

Answer:

Step-by-step explanation:

First, plot the graph of the function

and the graph of the line

This line intersects the graph of the function f(x) at 4 different points. So, there are 4 different values for b at which

Only 3 of them have positive values.

At these positive values, f(x)=2 (because the graph of the function and the graph of the line y=2 intersect at these points), then for these three b with positive values,

At 1 P. M. the family resumes their trip, and they reach Helena at 5 P. M. The total distance from the family’s home to Helena is 485 miles. Including the 30-minute lunch stop, what is the average speed over the entire trip?

Answers

Answer: 60.6 miles per hour

Step-by-step explanation: 5 hours + 3 hours + 30 mins = 8 hours 30 mins 485 divided by 8

The total distance from the family’s home to Helena is 485 miles.

including the 30-minute lunch stop. The average speed over the entire trip is 60.6 miles per hour.

How is average speed calculated?

The average speed is the ratio of total length traveled to the total time taken to travel that length.

Thus, if

[tex]d_2 = \text{final position}\\d_1 = \text{initial position}\\t_2 = \text{end time}\\t_1 = \text{start time (of travelling)}[/tex]

then,

[tex]S_a = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]

where S is the average speed of the traveler.

At 1 P. M. the family resumes their trip, and they reach Helena at 5 P. M.

The total distance from the family’s home to Helena is 485 miles.

Including the 30-minute lunch stop.

The total time taken

5 hours + 3 hours + 30 mins = 8 hours 30 mins

The average speed over the entire trip

[tex]S_a = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]

= 485/ 8

= 60.6 miles per hour

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when did u guys start anime? (If you watch it) me I started 2020~(I watched 7 animes by now i know very little but i can't really watch much cause im always busy)

Answers

I started 2020 and has watched 10 animes ✨

Answer:

Okay I think you just want to know when I started watching anime. I started watching in 2016/2017.

Step-by-step explanation:

Help me
Please help me with both issues

Answers

Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards

What is Multiplication

Multiplication is an arithmetic operation in which a number (known as a multiplicand) is multiplied by another number (known as a multiplier) to produce a product.

In this problem, we will need to use of some mathematical operators to solve the problem

He currently has 216 cards, but he needs 15 sets of cards.

1 set of card = 72 cards

Let's calculate the number of sets he currently has.

1 set of card = 72 cards

x set = 216 cards

cross multiply both sides and solve for x.

x * 72 = 216 * 1

x = 216 / 72

x = 3 sets

He currently has 3 sets of cards.

Since he wants 15 sets of cards, we will need 12 more set of cards.

The number of cards can be calculated by multiplying 12 by 72

Number of cards = 12 * 72 = 864

He needs 864 more cards.

1 set of card = $27

1 set = 72 cards

But she's bringing $9 to join, we can calculate the ratio of cards she will get.

1 / 27 = x / 9

x = 9 / 27

x = 1/3

She will get 1/3 of the cards bought which will be

72 * 1/3 = 24 cards

She will get 24 cards

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Write −0.39¯¯¯¯¯ as a fraction in simplest form.

Answers

Answer:

-0.3999... = -⅖

-0.393939... = -13/33

Step-by-step explanation:

Only ones I could think of.

Answer:

-39/100

Step-by-step explanation:

A rock is thrown from the top of a building . The height, h, of the rock t seconds after it thrown is given by h(t) = - 16t ^ 2 - 2t + 240 . How long will it take the rock to reach a height of 180 feet?

Answers

Answer:

1.875 sec

Step-by-step explanation:

Let h(t) = 180

180 = -16t^2 - 2t + 240

16t^2 + 2t - 60 = 0

2(8t^2 + t - 30) = 0

2(t + 2)(8t - 15) = 0

t = -2 or t = 15/8= 1.875 sec

Note: time cannot be negative, so -2 is disregarded

The time is taken by the rock to reach the height of 180 feet is 1.875 sec

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The solution will be:-

Let h(t) = 180

180 = -16t²- 2t + 240

16t² + 2t - 60 = 0

2(8t² + t - 30) = 0

2(t + 2)(8t - 15) = 0

t = -2 or t = 15/8= 1.875 sec

Therefore the time is taken by the rock to reach the height of 180 feet is 1.875 sec

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Which problem solving strategy would be best to solve this problem? Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn? A. write an equation B. make a table, chart or list C. compute or simplify D. guess, check and revise

Answers

Final answer:

The best approach to solve the problem is writing an equation. Given Avelina earns half of what Gus earns, the equation becomes Avelina's earnings = Gus's earnings / 2. On substituting Gus's earnings with $125, we get Avelina's earnings to be $62.50.

Explanation:

The best problem-solving strategy that would be apt to solve this problem, 'Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn?' is to write an equation. We know that Avelina earned half of what Gus earned. This can be represented by the equation: Avelina's earnings = Gus's earnings / 2.

Since we know that Gus earned $125, we can substitute this value into our equation: Avelina's earnings = $125 / 2. Solving this equation gives us the answer: Avelina earned $62.50.

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Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
Number of tickets
0
1 2 3
24 18 12
4
6 0
What is the y-intercept of the function shown in the table, and what does it
represent?
OA. The y-intercept is (4,0). Jamie goes on 4 rides.
OB. The y-intercept is (4.0). Jamie uses 4 tickets per ride.
OC. The y-intercept is (0, 24). Jamie has 24 tickets before going on any
rides.
OD. The y-intercept is (0, 24). Jamie uses 24 tickets per ride.

Answers

Answer:

C. The y-intercept is (0,24). Jamie has 24 tickets before going on any rides.

Step-by-step explanation:

Rides Tickets Left

0 24

1 18

2 12

3 6

4 0

Let x be the number of rides taken and y be the number of tickets remaining. We can write the equation for this linear function as:

y = -6x + 24

The y-intercept, 24, tells us how many tickets Jamie has before taking any rides (x = 0). He has 24 tickets. His first ride reduces that amount by 6, so the slope of this line is -6 (Jamie uses 6 tickets per ride).

The y-intercept is written as (0,24): Jamie has 24 tickets before any ride is taken. This is option C.

New tablets are on sale for 40% off. They're
normally $149.50. What will I pay for my tablet
when I get 40% off?

Answers

Answer:

$89.7

Step-by-step explanation:

First, find the 40% of 149.5, which is 59.8. Then, subtract the percentage (59.8) from 149.5 which equals 89.7.

So it is $89.7 dollars when it is 40% off.

HOPE THIS HELPS!!!!

BEST OF LUCK!!!

Jenson needs to create a graph using the data he collected from the baseball tournament over the weekend. Jenson must create a graph where exact data points are provided.

Which of the following would NOT be a good graph for Jenson to use?

A. Stem-and-Leaf Plot
B. Dot Plot
C. Histogram

Answers

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

help i cant solve it

Answers

Answer:

Step-by-step explanation:

We have,

x = 3y - 3 ---> x - 3y = -3 ------(1)

5x + 4y = 23 -----(2)

Multiplying eq. (1) by 5:

5x - 15y = -15 ------(3)

5x + 4y = 23

Subtracting (1) from (3):

-19y = - 38

y = 2

therefore, x - 6 = -3

x = 3

Identify which form is currently written in and then write each equation in standard form.Identify the y-intercept
y=-3x(x+2)

Answers

Answer:

Its in standard form I think. Y intercept is 0,0

Step-by-step explanation:

Write a statement to represent the expression h-9

Answers

expression h-9 is represented as statement 'h decreased by 9'.

What is subtraction?

Subtraction is an operation used to find the difference between numbers. When you have a group of objects and you take away a few objects from it, the group becomes smaller. For example, you bought 9 cupcakes for your birthday party and your friends ate 7 cupcakes. Now you are left with 2 cupcakes. This can be written in the form of a subtraction expression: 9 - 7 = 2 and is read as "nine minus seven equals two".

Given expression

h-9

Here h is a variable, 9 is constant and - is the symbol of subtraction.

the phrase "decreased by" tells us to use subtraction.

Statement for the above expression

h decreased by 9.

Hence, the statement 'h decreased by 9' represents expression h - 9.

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How do you solve longest side?

Answers

Let the other two sides of a triangle = a, b and the angle between them be A
The cosine rule tells us
The third side (or c lets say):
c^2 = a^2 + b^2 - 2ab•cos(A)

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

it is this answer x≥

I don't know the step by step solution

Solve the following system of equations: −2x + 3y = 7 y = 3x + 7 (−5, −1) (−2, 1) (−1, 4) (1, 3)

Answers

Answer:

(-2, 1)

Step-by-step explanation:

−2x + 3y = 7

y = 3x + 7

Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with 3x + 7 and solve for x.

-2x + 3y = 7

-2x + 3(3x + 7) = 7

-2x + 9x + 21 = 7

7x = -14

x = -2

Now substitute x in the second equation with -2 and solve for y.

y = 3x + 7

y = 3(-2) + 7

y = 1

Answer: (-2, 1)

PLEASEEE HELPPP !!
picture attached

If m ∠ P = (12x + 7), m ∠ Q = (6x - 7), and ∠ P and ∠ Q are complementary angles, find m ∠ Q.

Answers

The value of m ∠ Q is 23°.

What are complementary angles?

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary. We say two angles "Complement" one other when their sums equal 90 degrees.

Here, we have

Given: m ∠ P = (12x + 7), m ∠ Q = (6x - 7), and ∠ P and ∠ Q are complementary angles.

The sum of the measures of two complementary angles is 90°.

So, m∠P + m∠Q = 90°

Substitute 12x+7 for m∠P and 6x−7 for m∠Q.

12x+7 + 6x−7 = 90°

18x = 90°

x = 5°

To find m∠Q, substitute 5 for x in 6x−7.

6×5 - 7 = 23°

m ∠ Q = 23°

Hence, the value of m ∠ Q is 23°.

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In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-intercept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form.

Answers

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

Of the teacups in Isabella's Tea Shop, 1/3 are indigo and another 1/4 are orange. What fraction of the teacups are either indigo or orange?

Answers

The fraction of the teacups that are either indigo or orange is 7/12.

What is a fraction?

A fraction refers to a part of a whole number. It is a proportional value.

A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.

In a proper fraction, the numerator is smaller than the denominator. This is not the case with improper fractions where the numerator is larger than the denominator.

There are complex, proper, and improper fractions.

The fraction of teacups that are indigo = 1/3

The fraction of teacups that are orange = 1/4

The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)

Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.

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Consider each of the following word problems.
Write a word sentence to represent what you are going to do with the numerical values.
Include the proper brackets, exponents and operation signs.
Substitute the words with an appropriate variable.
Solve each problem in good form.

1. The school library had a used book sale. Paperbacks were 25 cents each and hardcover books
were $1.25 each. There were 54 paperbacks and 163 hardcover books sold. How much money did
the library raise?
2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $398.60 and her
room costs $115.70 per night. The cab fare from the airport to the hotel is $40.00. If Tamara
stays for two nights, how much does the trip cost, excluding the cost of food?
3. Paula repairs swimming pools and earns $14.50/h for the first 35 h she works in a week. For
hours over 35 h, she earns 1.5 times as much. If she works 48 hours in a week, how much does she
earn?
4. Will and Liam collect baseball cards. Will has 26 cards and Liam has 19. They decided to combine
their cards. Because they shared, their father decided that he would triple the number of cards
that they had. After that, their friend Nestor thought that he would add his cards to their bunch.
Nestor didn’t know how many cards he had but he knew that he could lay them out in rows and that
they would make a square with one side of his square having 8 cards. How many cards did the boys
have altogether?

Answers

The amount and numbers are 1. $217.25, 2. $710, 3. $790.25 and 4. 167.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number

1. Cost of a paperback = 25 cents = $0.25

Cost of a hardcover book = $1.25

There were 54 paperbacks and 163 hardcover books sold.

Money library raised = (0.25 × 54) + (1.25 × 163) = $217.25

2. Cost for round trip airfare = $398.60

Cost of room per night = $115.70

Cost of room for two nights = 2 × $115.70 = $231.40

Cab fare from airport to hotel = $40.00

Total fare from airport to hotel and the return = 2 × $40.00 = $80.00

Total cost = $398.60 + $231.40 + $80.00 = $710

3. Total working hour of Paula = 48 hours

Earning for first 35 hours = $14.50/h × 35

= $507.50

Remaining hours = 48 - 35 = 13 hours

Earning for next 13 hours = ($14.50/h × 1.5) × 13

= $282.75

Total earnings = $507.50 + $282.75 = $790.25

4. Number of cards Will has = 26

Number of cards Liam has = 19

When they combine, total cards = 26 + 19 = 45

When father also shared, total number of cards = 3 × 45 = 135

Number of cards Nestor has = 4 × 8 = 32

Total number of cards = 135 + 32 = 167

Hence all the questions are cleared using multiplication as one of the basic operations.

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What is the best definition of a decimal?
A) Decimals are ratios out of one hundred
B) Decimals are whole counting numbers
C) Decimals are ratios relating one integer to another
D) Decimals are integers followed by a decimal point and a number less than one

Answers

Answer:

Step-by-step explanation:

I think it would be D hope this helps!

The best definition of a decimal is decimals are whole counting numbers.

How can we express numbers belonging to decimal numeral system?

Suppose that the number is abcdefg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

Thus, we write abcd.efg as:

[tex]a \times 10^3 + b \times 10^2 + c \times 10^1 + d \times 10^{0} + e \times 10^{-1} + f \times 10^{-2} + g \times 10^{-3}[/tex]

We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.

We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.

Therefore, the definition will be Decimals are whole counting numbers,

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Help me please please please it’s due tonight!!!!!!!!!!!

Answers

Answer:

A. (4, 18)

Step-by-step explanation:

The "y" coordinate of the midpoint will be equal to the average of the y coordinates of the endpoints, and the x coordinate of the midpoint will be equal to the average of the x coordinates of the endpoints, and so we get that...

The x coordinate of the midpoint = (5 + 3) / 2 = 8 / 2 = 4

The y coordinate of the midpoint = (21 + 15) / 2 = 36 / 2 = 18

So the right answer is A (4, 18)

Make a table as y=x^2.

Answers

Answer:

-0

Step-by-step explanation:

HELP TIMED! In the figure, lines a and b are parallel lines. Which of the following statements is true? Select all that apply.

Answers

Answer:

B C and E

Step-by-step explanation:

Answer:

I believe the answer is B, C, E.

just need help with #7. A cube has an edge length given by the variable “s” as shown. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s^2 volume= s^3 Find the ratio of the surface area to the volume in simplest terms of “s”.

Answers

Surface Area : Volume = 6 : s

What is cube ?

A cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

Surface Area of a Cube = 6a² in a square units

Volume of cube = a³ cubic units

where a is the side length of the cube.

Given length of the cube = s

Surface Area of cube A = 6s²

Volume of cube V = s³

Ratio between Surface Area and volume:

Surface Area / Volume = 6s² / s³

Surface Area / Volume = 6 / s

Surface Area : Volume = 6 : s

Hence the ratio between Surface area and volume of cube is 6 : s.

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another one 2 more after this

Answers

The answer is 1.72 in scientific notation

Check
A jeweler is thinking about using this solid silver bead in a necklace
he is designing. He only has 5.000 grams of silver. If pure silver's
mass is 10.5 grams per cubic centimeter, can he make this bead?
if so, how many grams of silver will the jeweler have left?
11 cm
10 cm
2 cm

Answers

Answer:

assalam o aalaikum

Step-by-step explanation:

I finished my homework this morning. __________________,

Determine if each infinite geometric series is convergent or divergent.

Answers

The solution to the geometric progression are

a) The geometric progression converges , r = 0.1

b) The geometric progression converges , r = 0.2

c) The geometric progression diverges , r = 5

d) The geometric progression converges , r = 0.2

e) The geometric progression diverges , r = 5

f) The geometric progression converges , r = 0.2

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A geometric progression is said to converge if the common ratio r lies between -1 < r < 1

So , If -1 < r < 1, the geometric sequence converges

The geometric progression is A = 0.3 + 0.03 + 0.003 + ...