f(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?

Answers

Answer 1
Answer:    74

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

Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

-----------

Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74


Related Questions

| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?

Answers

Answer:

The following equation has no / zero solution.

Step-by-step explanation:

The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.

What do you know about these two lines?

y = 6x - 1
y = -6x - 4

A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.

Answers

Answer: Choice C

Explanation:

Refer to the y = mx+b form

m = slopeb = y intercept

The slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.

The slopes are not equal, so the lines aren't parallel.

The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.

Therefore, the two lines are neither parallel nor perpendicular, they just intersect.

Solve system of equations y=3/4x+2 5x+4y=-24

Answers

Answer:

[tex]\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. <=>\left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

100 POINTS WILL AWARD BRAINLIEST PLEASE HELP
(IMAGE INCLUDED)
In the image below, the m

Answers

Answer: 67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

Find x

Linear pairs are supplementary

9x-31+3x+19=18012x-12=180x-1=15x=15+1=16

So

opposite angles are equal

m=9(16)-31=144-31=113°

If sin A = 3/4, then the value of tan A

Answers

[tex]sinA=\frac{3}{4}[/tex]  ⇒  ∠A ≈ 49°

tanA ≈ 1.15

ok done. Thank to me :>

Boy Scouts Popcorn Sales

Matt:8
Byron:16
Tim:8
Marcos:12
Ahmed:4

Based on the ratio of Popcorn boxes sold
by Ahmed to total sold by the whole
group, if Ahmed sold 5 more boxes of
popcorn, how many more would the
whole group have to sell to keep the ratio
the same?
A. 55
B. 58
C. 60
D. 70

Answers

Answer:

60

Step-by-step explanation:

5 plus 4 is nine.

I based everything on how much times more it was at first, and did that times 9 for every name.

I added up how much more boxes they got in total and got 60.

Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.​

Answers

Answer:

Below!

Step-by-step explanation:

You can take 25 as one example and 49 as the second example.

Let's factorize.

=> 25 = 5 x 5 = (Which is odd)=> 49 = 7 x 7 = (Which is odd)Conclusion:

Hence, the statement is not true.

Hoped this helped.

can someone please tell me these answers

Answers

Answer: For Y the rate of change is +4

For the rate of x its +5

Step-by-step explanation:

In ΔABC, m∠1=70° and m∠4=35°. What is m∠3?

Answers

Answer:

75

Step-by-step explanation:

A triangle can only have 3 angles that add up to 180 degrees. Subtract 70 and 35 from 180 to get 75.

180=x+70+35

180-(70+35)=x

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

Answer:

I think D because CBD is half of ABC

Step-by-step explanation:

If I am wrong I appologize

Find the slope of the line below:

Answers

Answer:

[tex]\bold{m=-\frac{2}{5}}[/tex]

Step-by-step explanation:

Slope

First, we have to find two points that hit the graph at the right place:

[tex](0,4)[/tex]

[tex](10,0)[/tex]

Then, we plug the value into the slope formula:

[tex]\sf{Slope\:formula:\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{0-4}{10-10}[/tex]

Now, we can solve:

[tex]\frac{0-4}{10-0}\\\\=\frac{-4}{10}\\\\\bold{m=-\frac{2}{5}}[/tex]

Therefore, the slope of the line is [tex]-\frac{2}{5}[/tex]

What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for Pi. Recall the formula S A = 4 pi r squared. A sphere with a radius of 9. 113.04 square units 226.08 square units 1,017.36 square units 4,069.44 square units

Answers

Answer:

Step-by-step explanation:

A = 4πr² = 4π9² = 324π units²

324(3.14) = 1,017.36 units²

Solve the following system of equations by elimination​

Answers

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

Emma says that Function A has a greater initial value. Is Emma correct? Justify your response. Function A Function B Alternative text x 2 4 6 8 10 y 2 3 4 5 6 A. Yes; Function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value. B. Yes; Function A has an initial value of –1 and Function B has an initial value of –2. So, Function A has a greater initial value. C. No; Function A has an initial value of –2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No; Function A has an initial value of 2 and Function B has an initial value of –1. So, Function B has a greater initial value

Answers

Answer: B

Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2

Answer:

It is C

Step-by-step explanation:

"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."

3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?


Answers

600 elves

25% = 1/4
1/4 of the total = 150.
1/4 x 4 = 1 (total)
150 x 4 = 600
there are 600 elves

Does anyone know how to add fractions? Please explain step by step to get marked!

Answers

Answer:

To add fractions there are Three Simple Steps:

Step 1: Make sure the bottom numbers (the denominators) are the same.

Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Men to women working for a company is 2 to 3 if there are 80 employees total how many men work for the company

Answers

Answer:

48

Step-by-step explanation:

because if there is 48 men there is 32 women therefor making 80 employees

can someone please help me with this I don’t wanna fail math

Answers

Answer: y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

Answer:

Step-by-step explanation:

, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Solve for x, y, and z

Answers

Step-by-step explanation:

[tex]x = 46.16 \\ y = 23.00 \\ z = 55.7[/tex]

a prisms base has a perimeter of 12cm and a height of 2 cm. the area of the base was 5cm. what is the surface area of the prism.

Answers

Answer:  34 square cm

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

Explanation:

For any prism, there are two congruent bases opposite one another. In other words, the bases are identical polygons with the same area. Each base is 5 square cm. So far, that accounts for 5+5 = 10 square cm of surface area. Let A = 10 as we'll use it later.

The perimeter is 12 cm and the height is 2 cm. It turns out that the lateral surface area is found by multiplying the two items. This is because the perimeter is made up of the lengths of the sides of the base, which when multiplied by the height, will give the area of each rectangular side panel.

So the lateral surface area is 12*2 = 24 sq cm. Let B = 24.

Overall, the total surface area is A+B = 10+24 = 34 square cm

DUE TODAY PLZ HELP!!

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.

3x + y = -2

y = 2x + 3

Answers

The solution to the system of equations expressed as a coordinate point is [tex](x.y)=(-1,1)[/tex]

To solve the system

[tex]3x + y = -2\\y = 2x + 3[/tex]

Note that [tex]y[/tex] is already made subject of formula in [tex]y = 2x + 3[/tex]. So substitute the value for [tex]y[/tex] into [tex]3x + y = -2[/tex] to eliminate [tex]y[/tex] and leave us with an equation with [tex]x[/tex]

[tex]3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1[/tex]

Substitute this value of [tex]x[/tex] into [tex]y = 2x + 3[/tex] to get the value of [tex]y[/tex]

[tex]y = 2(-1) + 3\\y=-2+3\\y=1[/tex]

The solutions are [tex]x=-1,y=1[/tex], or expressed as a coordinate point

[tex](x.y)=(-1,1)[/tex]

Learn more about systems of equations here: https://brainly.com/question/16763389

Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?

Answers

Answer:

y=1.09x

Step-by-step explanation:

Try to find the slope

Answers

Answer:

-11/14.

Step-by-step explanation:

Slope =(y2-y1)/ (x2 - x1)

Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.

So slope

= (7 - (-4)/ -7-7)

= -11/14.

help with this please

Answers

y=-2x+12 is your equation and you are given a table with your x values in them so your first value is 0 so you would put the 0 where the x is so your equation would then look like this:

y=-2*0+12 —> y=0+12 —> y=12

so you would put that 12 in the first box. that gives you the points (0,12) on the graph and that’s where you would put your first dot…
you repeat this process for all the other x values

For the trig function f(0)=sin(0) whats the input variable
For the trig function g(0)=cos(0) whats the input variable

Answers

For the function f(0)=sin(0), 0 is the input variable while f(0) is the output.

For the function g(0)=cos(0), 0 is the input variable while g(0) is the output.

The standard form of representing trigonometry functions is f(x) = sinx or f(x) = cos x

From the functions:

x is the input variable (also known as the domain)y is the output variable also known as the range;

Given the trig function f(0)=sin(0), compared with the general equation, we can see that 0 is the input variable while f(0) is the output.

Similarly for the function g(0)=cos(0), 0 is the input variable while g(0) is the output.

Learn more on input variables here: https://brainly.com/question/11451813

Recently, your parents read in the newspaper that American factory worker jobs have the lowest income ra
What is the best explanation for this fact?
A A factory worker does not need a lot of education
B Companies are relocating factories to other parts of the world.
C Factories are always in poor areas.
D A computer can do the work a factory worker currently does

Answers

Answer:

A. A factory worker does not need a lot of education.

Step-by-step explanation:

The answer is " A " which is a factory worker does not need a lot of education. since most people don't have a PHD degree or anything higher education, it results in a lot of people joining due to the benefit of the factory worker doesn't need a lot of worker which makes it low in demand too.

Solve each system using substitution or additions
(elimination).

-x+2y=-1
5x-10y=6

Answers

Answer:

Step-by-step explanation:

L1 -x + 2y = -1

L2 5x - 10y = 6

-x + 2y = - 1 multiply by -1

x - 2y = 1 multiply by 5

5x - 10y = 5 is similar that 5x - 10y = 6

The system has no solution

calculate the quotient below and give your answer in scientific notation

Answers

Answer:

the answer is 95

6^9+6^8)/(6^8*6^-9)
HELP PLS​

Answers

Step-by-step explanation:

Question:-To simplify the expression

Expression:-[tex] \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )} [/tex]Solution :-

[tex] = \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[In numerator we take 6^8 common]

[tex] = \frac{ {6}^{8} ( {6} + 1)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[On Simplification]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[In denominator as we know, a^x × a^y = a^(x+y)]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8 + ( -9)} )} [/tex]

[On Simplification]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{ - 1} )} [/tex]

[As we know, 1/a^-1 = a ]

[tex] = {6}^{8} \times 7 \times 6[/tex]

[On further multiplying of 6]

[tex] = {6}^{9} \times 7[/tex]

Result:-

In exponential form:

[tex] = {6}^{9} \times {7}^{1} (ans)[/tex]

In numerical form:

70,543,872 (Ans)

[tex] \huge \: \bf \: Question:—[/tex]

[tex] \sf \longmapsto6^9+6^8)/(6^8 \times 6^{-9})[/tex]

[tex]\huge\bf Solution:—[/tex]

[tex]\sf \longmapsto \: \dfrac{ {6}^{9} + {6}^{8} }{ {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \dfrac{10077696 + {6}^{8} } { {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \dfrac{10077696+1679616}{ {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \: \dfrac{11757312}{{6}^{8} \times {6}^{ - 9}} [/tex]

[tex]\sf \longmapsto \dfrac{11757312}{1679616(6 {}^{ - 9} )} [/tex]

[tex] \boxed{\bf \: As \: a^{-n} = 1/a(n) \: ,}[/tex]

[tex]\sf \longmapsto \dfrac{11757312}{1679616 \bigg(\dfrac{1}{10077696} \bigg )} [/tex]

[tex]\sf \longmapsto \dfrac{11757312}{ \dfrac{1}{6} } [/tex]

[tex]\sf \longmapsto \: \: 70543872[/tex]

[tex] \boxed{\bf \: \: \: Convert\: 70543872 \: to\: scientific \: notation}[/tex]

[tex] \sf \longmapsto \: 7.0543872 × 10 {}^{7} [/tex]

[tex]\boxed{ \bf \: \: Convert\: 70543872 \: to\: exponent}[/tex]

[tex]\sf\longmapsto {6}^{9} \times 7 [/tex]

_________________________________

[tex] \boxed{\bf \: Answer\: in\: Number}:—[/tex]

[tex] \boxed{\bf \: 70543872}[/tex]

[tex]\boxed{ \bf \: Answer\: in\: Exponent:—}[/tex]

[tex] \boxed{\bf \: {6}^{9} \times 7}[/tex]

[tex]\boxed{\bf Answer\: in\: Scientific\: Notation:—}[/tex]

[tex]\boxed{ \bf \: 7.0543872 × 10 {}^{7} }[/tex]

Factor the following expression completely: 3x^2+9x+6

Answers

Answer:

The answer is 3(+1)(+2)

Answer:

3(+1)(+2)

Step-by-step explanation:

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