g(x) = f(rx)
f(x) = -3x + 5
g(x) = -1x + 5

Find r

Answers

Answer 1

[tex]\begin{cases} f(x)=-3x+5\\[1em] f(rx)=-3(rx)+5 \end{cases}\qquad \qquad \begin{cases} g(x)=-1x+5\\[1em] g(x)=f(rx)\\ \qquad -3(rx)+5 \end{cases} \\\\\\ \stackrel{g(x)}{-1x+5}~~=~~\stackrel{g(x)}{-3(rx)+5}\implies -x+5=-3rx+5\implies -x=-3rx \\\\\\ \cfrac{-x}{-x}=3r\implies 1=3r\implies \boxed{\cfrac{1}{3}=r}[/tex]


Related Questions

A school is logging the number of hours that students use the technology lab per month. In week one of February, 16 students used the lab. In week two of February, 93 students used the lab. In week three of February, 82 students used the lab. In week four of February, 76 students used the lab. If each student spent, on average, 34.13 minutes in the lab, then what is the approximate total number of minutes that students used the technology lab in February?

Answers

Answer:

9,113 Minutes

Step-by-step explanation:

Add 16, 93, 82, and 76 together to get 267.

Then multiply 267 by 34.13 to get 9,112.71

Then we would round that to 9,113 Minutes.

PLEASE PLEASE HELPPP

Answers

Answer:

consecutive angles are supplementary

Step-by-step explanation:

all angles in a rectangle are right angles

all right angles = 90 degrees

therefore all consecutive angles in a rectangle = 180 degrees

SUPPLEMENTARY ANGLES EQUAL 180 EGREES

What is the sum of the finite arithmetic series? (–5) + 0 + 5 + 10 + ... + 65 A. 900 B. 455 C. 450 D. 445

Answers

The sum of the finite arithmetic series is 450

The series is given as:

(–5) + 0 + 5 + 10 + ... + 65

Start by calculating the number of terms (n) in the series using the following last term formula

[tex]L = a + (n - 1)d[/tex]

Where:

L represents the last term; L = 65

a represents the first term; a = -5

d represents the common difference; d = 5

n represents the number of terms

So, we have:

[tex]65 = -5 + (n - 1)*5[/tex]

Add 5 to both sides

[tex]70 = (n - 1)*5[/tex]

Divide both sides by 5

[tex]14 = n - 1[/tex]

Add 1 to both sides

[tex]n = 15[/tex]

The sum of finite terms is then calculated as:

[tex]S_n = \frac n2 \times (a + L)[/tex]

This gives

[tex]S_n = \frac {15}2 \times (-5 + 65)[/tex]

[tex]S_n = \frac {15}2 \times 60[/tex]

[tex]S_n = 450[/tex]

Hence, the sum of the finite arithmetic series is 450

Read more about arithmetic series at:

https://brainly.com/question/6561461

Find the volume of the triangular pyramid to the nearest whole number.

Answers

Answer:

  906 in³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base and h is the height of the pyramid. Here, the base is a triangle. The formula for its area is ...

  A = 1/2bh

where b is the base of the triangle and h is the triangle height.

__

Triangle area:

  A = 1/2(19 in)(13 in) = 123.5 in²

Pyramid volume:

  V = 1/3(123.5 in²)(22 in) = 905 2/3 in³

  V ≈ 906 in³

The volume of the triangular pyramid is about 906 in³.

what is the answer 4x + 17 + 5x -10 in the simplest form

Answers

Answer:

9x+7

Step-by-step explanation:

Let's simplify step-by-step.

4x+17+5x−10

=4x+17+5x+−10

Combine Like Terms:

=4x+17+5x+−10

=(4x+5x)+(17+−10)

=9x+7

PLS HELP IM DESPERATE I NEED ANSWER

Answers

Answer:

first one is cheaper

Step-by-step explanation:

1st : 660 * .40 = 264 -> 660 - 264 = 396

2nd : 660 * .30 = 198 -> 660 - 198 = 462 THEN 462 * .10 =

46.2 -> 462 - 46.2 = 415.8

1st one is cheaper.

2.) Areidy's dad made 70 cakepops, If Areidy ate of 20% of
them how many cakepops did she eat?

Answers

Answer:

14 cakepops

Step-by-step explanation:

20% is equal to 0.2 as a decimal (100% is 1) so you need to multiply 0.2 by the original amount which is 70. The equation is then 70 x 0.2 = 14. Therefore, Areidy has eaten 14 cakepops total.

Isosceles and equilateral triangle

Answers

Answer:

Step-by-step explanation:

so the side is 44 because the isosceles triangle tells you that the other one is also 44

since the other triangle is equilateral, it tells you that all three sides are 3x+20 or 44. so now we know 3x+20=44

since 24+20=44, we know 3x=24, to find x now, simply divide 24 by 3 nd you get 8, so X=8

books in library6/7 are fiction, 5/7 are paperback, what fraction of books in library are fiction and paperback?

Answers

Answer:

11/7

Step-by-step explanation:

Here's how we add

6

7

+

5

7

Step 1

Since our denominators match, we can add the numerators.

6 + 5 = 11

That gives us an answer of

11/7

What is the solution to the equation? x−18=−72 Enter your answer in the box.

Answers

Answer:

-54

Step-by-step explanation:

x-18=-72

x=-72+18

x=-54

Answer:

  -54

Step-by-step explanation:

Add 18 to both sides of the equation.

  x -18 +18 = -72 +18

  x = -54 . . . . the solution to the equation

_____

Additional comment

This is called a "one-step" equation. The one step needed to solve it is to add the opposite of the constant that is on the same side of the equal sign as the variable. That constant is -18. Its opposite is 18, so 18 is what we add.

Anything we do to one side of the equation must also be done to the other side, so we must add 18 to both sides of the equation.

find the length x of the side of the larger triangle shown in the figure at the left. assume that the two triangles are similar, and use the fact that the corresponding sides of similar triangles are proportional.

Answers

Answer:

x= 5

Step-by-step explanation:

Since both of these triangles are similar/ proportional, we can set up a proportion to solve for the missing side, x, by comparing sides of both triangles.

[tex]\frac{5.6}{4} =\frac{7}{x}[/tex]

Cross multiply, and solve for x.

5.6x=28

x= 5

Identify the range of the following numbers:
100, 212, 215, 308, 303,600.

Answers

Answer:

500

Step-by-step explanation:

To find range, you subtract the lowest value from the greatest value.

First you have to put the vaulues in order from least to greatest

100, 212, 215, 303, 308, 600

then,

600-100=500

A restaurant had 85 pies. If the pies were split into 4 different groups how many pies were in each group? Write the answer as a mixed number​

Answers

Answer:

85/4 = 21 ,remainder =1

so

21  1/4

Step-by-step explanation:

please help my teacher never explains anything i need help

Answers

A is the answer.

Since DF=EF, that means angle D and angle E are equal to each other,( Isolcles Triangle Theorem).

Since one of the angle is 90, and the other angles are equal to each other.

[tex]90 + x + y = 180[/tex]

[tex]x = y[/tex]

so

[tex]90 + x + x = 180[/tex]

[tex]2x = 90[/tex]

[tex]x = 45[/tex]

So the other two missing angles is 45

This makes the triangle a 45-45-90 triangle.

So this means the side DF and EF are

[tex] \frac{21 \sqrt{2} }{2} [/tex]

Because a side that in a 45 45 triangle is

[tex] \frac{ \sqrt{2} }{2} [/tex]

times more than the hypotenuse.

Answer:

the answer is A

Step-by-step explanation:

Becuase it has a 45  45 and 90 angles and it also matches the equation

Station P is situated on a bearing 030° and 12km east of station Q which is north of R. How far is P north of R?​

Answers

Check the picture below.

PLEASE HELP ME!!
PERSON WHO GETS ALL RIGHT WILL BE MARKED AS BRAINLIST !!! (please look at image)


a computer store offers customers a protection plan when they a buy a computer. a research company determines that for every 5$ increase in the price of the plan, the store will sell 3 fewer plans per month. please answer the following questions given in the image .

Answers

Part A:price=5x
Part B:number of plans=5x - 3
part c:

22. Tad and Timothy went to the paint store together. Tad bought 6 cans of paint
and 1 paint brush for $67. Timothy bought 4 cans of the same paint and 3 of
the same type of paint brushes. Timothy’s total cost was $54.
(Let x represent the cost of a can of paint and y represent the cost of a paint brush.)

a. Solve the system of linear equations using the substitution method.
b. What was the cost for a can of paint?
c. The cost of a paint brush?

Answers

Answer:

Can of Paint = $10.50

Paint Brush = $4

Step-by-step explanation:

P and B are paintbrushes and brushes.    x and y are the numbers of P and B, respectively.

x y

P B $

Tad 6 1 67

Tim 4 3 54

We can form two equations from the above table:

For Tad:  6x + 1y = 67   [the numbers of paint and brushes times their                        costs, x and y, is the total Tad paid, $67]

For Tim:  4x + 3y = 54  {Same approach]

We have two equations and two unknowns, so let's rearrange on one of the equations to isolate one of the two variables, and then use that in the other equation.  I'll pick the first and rearrange it for y:

6x + 1y = 67

y = 67-6x

Now use this value of y in the second equation:

4x + 3y = 54

4x + 3(67-6x) = 54

4x + 201 -18x = 54

-14x = - 147

x = $10.5  The price of a can of paint is $10.50

Now use this value of x in either equation and solve for y:

6x + 1y = 67

y = 67-6*(10.5)

y = 67-63

y = $4    The price for a brush is $4

===================

See if these values work:

Did Tad pay the correct amount?:

6x + 1y = 67

6($10.5) + 1($4) = $67   ??

$63 + $4 = $67  YES

How about for Timothy?

4x + 3y = 54

4($10.5) + 3($4) = 54?

$42 + $12 = $54  

The values are correct.

Which two statements are true?

Answers

I think that the answer that is highlighted in blue is correct. I am not sure for this one. But, “both the table and graph are proportional” seems correct.

Simon has a job that requires her to travel three times a month. She
have an annual travel budget and can travel by train or by plane. Airlines
No, she often has a program for frequent flyers: the ticket price will be reduced
according to the number of kilometers she has flown in a year. When she reaches 25.00 km, the airline will
25% discount on tickets for the remaining flights of that year. When she reached 50,000 km, the airline
no 50% discount for the remaining flights of that year.
Draw Nghi's budget line, with the number of train kilometers on the vertical axis and the number of airplane kilometers on
horizontal axis

Answers

35% because u need to multiply them all

Hi can someone help me find the equation for the line in slope intercept form.

Answers

Answer:

y= -2

no slope since it is constant

Add or subtract the following mixed numbers. First change each mixed number to an equivalent Improper fraction. Then
find a common denominator, and proceed as before. Leave your answer as an improper fraction. Be sure your answers are reduced to lowest terms 3 1/6- 1 1/2

Answers

Answer: 1 1/3 ≈negative 1.333−1.333

Step-by-step explanation:

Pls help me here, I need it now ​

Answers

Answer:

1. 14m^2

2. 25m^2

3. 9m^2

4. 60 m^2

5. 36m^2

What is the measure of ZC 42 48 90 180

Answers

Answer : C= 90° (they are vertically opposite angles)

Find an equivalent fraction for each fraction below
2/4 4/6​

Answers

Answer:

hmm should we multiple, add or divide which one it just the question but no add,multiple or divide

Please help me solve . Thanks



Answers

Answer:

Ok. The exponential function in this complex situation could be the coordination of the supreme court under Justin Biebers hairline.

What is this fraction in simplest form 12/75 please help me this homework is so hard my teacher said just try your best

Answers

Answer:

4/25

Step-by-step explanation:

12 divided by 3

72 divided by 3

Greatest Common Divisor:

3

So 12/72 simplifed would be 4/25 and the GCD would be 3.

Darell has just started a job in Arlington and wants to explore his new surroundings. After leaving his office, he drives 50 blocks south, 55 blocks north, 30 blocks west, and 5 blocks south. How many blocks is Darell from his office?

Answers

Answer:

30 blocks west

Step-by-step explanation:

Darell drives 50 blocks south, plus another 5 blocks south, giving him a total of 55 blocks south. He also drives 55 blocks north. North and South are in opposite directions, so they cancel each other out numerically. That means we are left with 30 blocks west, so Darell is 30 blocks west from his office.

Please answer this for me

Answers

Answer:

Step-by-step explanation:

The parts of the triangle have to be corresponding parts. Some are, but they're upside down.

For example, A could catch a lot of people.

You should go by the left side.

Small / hypotenuse / Large Hypotenuse :: 4.5 cm (small height)/LM (Large Height) Would have been the correct way to write answer A. It isn't that way.

The correct answer is D

Horizontal / Vertical (large) = Horizontal / Vertical (Small)

9/ LM = 6 / 4.5                          Now you can cross multiply and  Continue

pleaseee help… just w the blanks

Answers

Step-by-step explanation:

I don't know the detailed options, but the answer in general is

the mapping of A to B is not a function, because at least one element of A (-2) is mapped to more than 1 element of B (1 and -4).

for a function every element of the domain can have 1 and only one assigned element of the range.

No its not a function

See -2 has 2 values in range.

As an element of domain doesn't have unique range (-2)

It's a relationIt's not a function

variable.
1. Write a function for the cost where x is the number of passengers. (1 point)
Cost =
c/25+200

2. Identify the domain of this function. (1 point)
X
Domain: {
}
plz help

Answers

Answer:

6

Step-by-step explanation:

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