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

Find r

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.

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

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.

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.

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

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

Check the picture below.

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

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.

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.

Answer:

85/4 = 21 ,remainder =1

so

21  1/4

Step-by-step explanation:

Answer: 1 1/3 ≈negative 1.333−1.333

Step-by-step explanation:

Answer:

y= -2

no slope since it is constant

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

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

Answer:

1. 14m^2

2. 25m^2

3. 9m^2

4. 60 m^2

5. 36m^2

Answer:

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

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

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.

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

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

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

Answer:

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

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.

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

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

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.

Answer:

6

Step-by-step explanation: