Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))

Answers

Answer 1

Answer:

f(h(x)) = 2x - 4

Step-by-step explanation:

To find the rule for f(h(x)), substitute h(x) = 2x + 3 into f(x) = x - 7:

f(     ) = (                     ) - 7 becomes

f(h(x)) = (2x + 3) - 7, or         2x + 3 - 7, or   f(h(x)) = 2x - 4


Related Questions

Which line below is parallel to y = 5x - 6

Answers

Answer:

-30

Step-by-step explanation:

How do you write 927,000 in scientific form

Answers

the answer is 9.27 x 10^5

Which point is the outlier on this scatter plot?
Shark Size
y
3
300
Length (cm)
200
100
X
0
0
30
60
90
Mass (kg)
OA (0.07, 18)
O D. (105, 320)
O C. (85220)
O B. (68, 165)

Answers

The answer to this problem is A

Answer: A (0.07, 18)

Step-by-step explanation:  An outlier is a value that is far from the central tendencies around what would be the mean and the median values.

In a scatter plot, it's the dots (coordinates) that are far away from the main cluster.

Worth 10 points!! Help!

Answers

anwer: 7 the answer is 7

Answer:

Ruby needs 7 combined.

Step-by-step explanation:

If she needs 1/4 cup of powdered milk for one batch, then we multiply 1/4 by 4 to see how much she needs for 4 batches, which is 4/4, or one whole.

If she needs 3/2 cups of whole wheat for one batch, then we multiply 3/2 by 4 to see how much she needs for 4 batches, which is 12/2, or 6.

Then we combine 6 and 1, which is 7.

The perimeter of a square is 48 cm.
What is the length of the diagonal?

Answers

Answer:

The answers is the following d≈16.97cm

Step-by-step explanation:

Simplify: Write your answer in scientific notation.
(3.3 x 10^7) + (7.7 x 10^8)

Answers

The answer is 8.03x10^8

Kimmy bought a 5-kilogram can of peanuts for $4.59. What is the unit price? *

Answers

Answer:

9 cent

Step-by-step explanation:

4.59/5=$0.9

Answer:

Step-by-step: To solve this, we divide the price by the kilograms of peanuts. So therefore, our answer is that it costs $0.9 per can of peanuts.

A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?​

Answers

Answer:

the answer is (x,y) (1/4 -13/4)

Manny begins the summer with $200 in his savings account. Each week he adds $85 to his account. Susan begins the summer with $95 in a savings account and adds $100 each week. When will Manny and Susan have the same amount of money in their accounts? ​

Answers

Answer:

7 weeks

Step-by-step explanation:

200 + 85w = 95 + 100w

-95     -85w  -95    -85w

105 = 15w     (divide both sides by 15)

7 = w

if dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

Answers

Answer:

The equation of the tangent line passing through the point (-2,3) is

 4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

             [tex]m = \frac{dy}{dx} = x(y-1)[/tex]

             m = -2( 3-1) = -4

Given point x = -2

         y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

[tex]y - y_{1} = m(x-x_{1} )[/tex]

[tex]y -3 = -4(x-(-2))[/tex]

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

  4 x + y +5 =0

Simply -17 - 4x + 10 + X

Answers

Answer:

-7-3x

Step-by-step explanation:

-17-4x+10+x

(-17+10)+(-4x+x)

-7-3x

Answer:

-3x - 7

I hope this helps!

Answers these two for 5 stars and brainlist and a thanks

Answers

a. Dilation of 2nd equation by a factor of 12

b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles

The afternoon high temperature was 88°F. By midnight, the temperature 1 point
dropped down to 73°F. What is the percent decrease?

Answers

Answer:

17.04545

Step-by-step explanation:

try this

Answer:

17%

Step-by-step explanation:

88 - 73 = 15

15 divided by 88 = 0.170

round to the nearest percent, 17%.

Hope this helps

What is the equation of the line that passes through the point (4, 4) and has a slope
of 3?

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

Let me know if I am wrong.

Answer:

y=3x-8

Step-by-step explanation:

The price of a 9-minute phone call is $2.25. What is the price of a 19-minute phone call?

Answers

Answer:

$4.75

Step-by-step explanation:

9/2.25=19/x

cross product

2.25*19=9*x

42.75=9x

x=42.75/9

x=4.75

Help Help Help .!
repeated multiplication using a negative fraction .

Answers

[tex] {4}^{3} = 63[/tex]

Twelve people are
able to ride the Serpent of Fire roller
coaster at one time. Write a function
table that shows the total number of
people that have been on the roller
coaster after 1, 2, 3, and 4 rides.

Answers

1,12
2,24
3,36
4,48
Theses are the ordered pairs. To the answer of the question. In the table put (x,y) at the top and then in each x column put the first number then in the y column put the second number

Can someone help me out please

Answers

B) AAS Congruence Theorem
(correct answer i promise)

explanation:
The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

a scale drawing on a lake has a scale is 1 cm to 80 m, if the actual width of the lake is 1,000m what is the width of the lake on the scale drawing

Answers

1000/80 = 12.5cm is width of the lake

3х - y>2
2х + y>23

solve the system of inequalities ​

Answers

Answer: x is greater than 5

Step-by-step explanation: pls mark brainliest

I NEED HELP AGAIN 5.0

Answers

Answer:

(-1,-3) (0,-5)

Step-by-step explanation:

Move dot at the origin to (-1,-3) down three and one to the left

Select other dot and move it to (0,-7)

"Talk all day.........................................."

Answers

Answer:

What? Oh well free points tyy

Step-by-step explanation:

OMg plzzz help due 5 minutes answer whatever u can and real answers plz

Answers

I am srry I don’t understand any of that

Find the Inverse Function f(x)=x-5

Answers

Inverse function is f-1(x)= x + 5

PLS HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Between April and May

Step-by-step explanation:

April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.

Answer:

Option 2 :- February and March

Step-by-step explanation:

Rate of change between February and March is $ 5 i.e, ($79-$74)

Rate of change between April and May is $ 3 i.e, ($75-$72)

Thus, Rate of change is greater in February and March.

Hope this helps you.

PLEASE HELP ME ANYONE

Answers

Answer:

30+a

Step-by-step explanation:

hope it helps dont report if wrong

14x + 5y = -6
Slope intercept form

Answers

Answer:

y=-2.8x-1.2

Step-by-step explanation:

5y=-14x-6

y=-14/5x-6/5

y=-2.8x-1.2

The answer is : -14/5x -6/5

Explanation:
5y= -6-14x
y= -6/5 -14/5x

Standard form: -14/5x-6/5

x+3y=10 what is the slope of the line

Answers

Answer:

-1/3 is the slope of the line

Step-by-step explanation:

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept.

Subtract x from both sides of the equation.

x - x + 3y = 10 - x

3y = 10 - x

Divide each term by 3.

[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]

[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]

Rewrite in slope intercept form.

[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]

A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?

Answers

Answer:

Value  of the car after depreciation = $800.

Step-by-step explanation:

Formula to get the final value of the car after depreciation of the car price,

Final value = [tex]\text{Initial value}(1-\frac{r}{100})^{\frac{t}{n} }[/tex]

Here, t = Number of years after the purchase

n = Number of years for the depreciation of price by half

By substituting values in the formula,

Final value = [tex]40000(1-\frac{50}{100})^{\frac{17}{3}}[/tex]

                  = [tex]40000(0.5)^{\frac{17}{3}}[/tex]

                  = $787.451

                  ≈ $800 [Nearest hundred dollars]

Therefore, after 17 years value of the new car will be $800.

i have this due in like 10 minutes please help!!

Answers

Answer:

1- a

2- b

3- c

4- d

Step-by-step explanation:

For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.

Example:

7x + 8 - 6 + 3x

7x + 3x + 8 - 6

you can only solve operations if they are both natural or algebraic numbers

10x + 2

Hope it was helpful ;)

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