Mathematics High School

F and g are functions such that

F(x)=3/x2 and g(x)=2x3

A) find f(-4)
B) find fg(1)

F And G Are Functions Such That F(x)=3/x2 And G(x)=2x3A) Find F(-4)B) Find Fg(1)

Answers

Answer 1
f(-4) = 3/(-4)(2)
f(-4)= 3/-8

f(g(1))= 3/(2(1)^3)(2)
f(g(1))= 3/(2)(2)
f(g(1))= 3/4
Answer 2

a. The value of f(-4) is [tex]3 \div -8[/tex]

b. The value of fg(1) is [tex]3\div 4[/tex]

Calculation of the value of f(-4) and fg(1):

Since [tex]F(x)=3\div x\times 2\ and\ g(x)=2\times x\times 3[/tex]

So,

a. The value of f(-4) is

[tex]= 3\div (-4)(2)\\\\= 3\div -8[/tex]

And,

b. The value of fg(1) is

[tex]= 3\div (2(1)^3)(2)\\\\= 3\div (2)(2)\\\\= 3\div 4[/tex]

learn more about the function here: https://brainly.com/question/24309536

Related Questions

Need help asap thank u

Answers

Answer:

<4 ~= <5 - Consecutive Interior Angles Theorem

<4 ~= <2 - Vertical Angles Theorem

<6 ~= <2 - Corresponding Angles Theorem

line I || line m - Transitive Property

a statement that switches the hypothesis and conclusion and negates both

Answers

Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

Converse – the statement formed by exchanging the hypothesis and conclusion of a conditional statement. Counterexample – an example used to show that a given statement is not always true.

Part A: What is a statement in a two-column proof?

Answers

Answer:

the left column is the statement and Right column is the reason. The statement is the steps of how are you going to solve the problem

In geometry, two column proofs always have two columns- statements and reasons. In a two column proof you must have a reason for every statement

Given f(x) = 70 + 11x, find x when f(x) =158

Answers

Answer:

[tex] \huge \boxed{x = 8}[/tex]

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

[tex]70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88[/tex]

Divide both sides by 11

[tex] \frac{11x}{11} = \frac{88}{11} \\ [/tex]

We have the final answer as

x = 8

Hope this helps you

what is an equation of the line that passes through the point (5, -7) and has a slope of 0

Answers

Answer:

y= -7

Step-by-step explanation:

A line that has a slope of zero is a horizontal line

Horizontal lines are of the form

y=

The y coordinate is -7

y= -7

A trail mix has 16 cups of raisins, 3 cups of dates, 24 cups of peanuts, and 2 cups of cashews. Which
Ingredients are in the same ratlo as cashews to raisins?
The ratio that is the same is? to 2

Answers

Answer:

Step-by-step explanation:

The ratio for cashews to raisins is 2:16 and you can simplify that by 2 because they are factors of 2. When you simplify you get 1:8.

The ratio for dates to peanuts is 3:24 and you can simplify that by 3 since they are factors of 3. When you simplify by 3, you get 1:8 which is the same ratio for cashews to raisins.

Sydney applied the steps below to find the product of (3.1)(–1.6). Step 1: (3.1)(–1.6) = (–1.6)(3.1) Step 2: = _______________ Step 3: = (–4.8) + (–0.16) Step 4: = –4.96 Which expression correctly fills in the blank in Step 2?

Answers

Answer:

(-1.6)(3 + 0.1)

Step-by-step explanation:

Sidney applied the steps to find the product of two numbers (3.1) and (-1.6),

Step 1,

(3.1)(-1.6) = (-1.6)(3.1)

Step 2,

(-1.6)(3.1) = (-1.6)(3 + 0.1)

Step 3,

(-1.6)(3 + 0.1) = -4.8 + (-0.16) [Distributive property]

Step 4,

-4.8 + (-0.16) = -4.96

Therefore, expression that correctly fits in step 2 will be,

(-1.6)(3 + 0.1)

Answer:

it might be D

Step-by-step explanation:

sorry is im wrong

EDIT

on edge im right!!!!!!!!!!!!!!

Which of the following is a plural subjective pronoun?
A. I
B. it
C. we
D. them

Answers

D is the correct answer

Answer:

D

Step-by-step explanation:

PLEASE HELP ME!! URGENT!!WILL MARK BRAINLIEST

Answers

I think that’s it hope it helps

Solve the equation below :

7 – 9x – 15 + 12x

Answers

Answer:

-8+3x

Step-by-step explanation:

7 – 9x – 15 + 12x

We cannot solve since there is no equals sign, we can only simplify

Combine like terms

7 -15   -9x+12x

-8          +3x

Answer:

3x - 8

Hope that was the answer you were looking for :D

Which measurement statement is correct 10 points

Answers

where are the statements

Pythagorean Theory Plz help

Answers

The longest side is always the hypotenuse

1. Hypotenuse
2. Always across from the right angle

Do you like me
What is formula

Answers

Answer:

what?

Step-by-step explanation:

Answer:

I am cunfushion

Step-by-step explanation:

If there are 62 boys out of 100 grade 7 students, how do you know this is in fractional form? What is the decimal form?

Answers

I know this is in fraction form because it says out of. A fraction will say out of, for example: 3 out of 4. The number 62 boys out of 100 students can be represented as 0.62, 0.62 of 1 (100) whole number.

Hope this helps!

The answer is 0.62

The explanation to this is because 62/100 is like saying .62 with hundreths instead.

I can solve this grouping symbol question, please help!

Answers

(4+7)(32-2)
I’m not sure but I guess it helps

-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.

Answers

Answer:

x = 14/-7

x = -2

It has ONE SOLUTION

PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =

Answers

Answer: D) 0

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

f ' (2) = -8(2)^(-3) + (1/2)*(2)

f ' (2) = 0

Finding the derivative, we have that f'(2) = 0, option D.

-----------------------------

The derivative of an exponent is:

[tex](x^n)^{\prime} = nx^{n-1}[/tex]

Additionally, the sum of the derivatives is the derivative of the sum. The derivative of a constant is zero.

-----------------------------

The function is:

[tex]f(x) = 4x^{-2} + \frac{x^2}{4} + 4[/tex]

The derivatives are:

[tex](4x^{-2})^{\prime} = -2 \times 4x^{-2 -1} = -8x^{-3}[/tex]

[tex](\frac{x^2}{4})^{\prime} = \frac{2x}{4}[/tex]

[tex](4)^{\prime} = 0[/tex]

Thus, the derivative of the function is:

[tex]f^{\prime}(x) = -8x^{-3} + \frac{2x}{4} = -\frac{8}{x^3} + \frac{2x}{4}[/tex]

At x = 2:

[tex]f^{\prime}(2) = -\frac{8}{2^3} + \frac{2(2)}{4} = -1 + 1 = 0[/tex]

Thus f'(2) = 0, option D.

A similar problem is given at https://brainly.com/question/10037173

In a video game Nutcracker Sweet, a squirrel finds a nut. When he cracks that nut, 4 more nuts come out. When he cracks those 4 nuts, 4 more nuts come out of each. If this process continues, how many nuts will there be after 5 of these nut-cracking sessions? (Cracked nuts are counted as a nut.)

Answers

Answer and  explanation:

4294967296 nuts

Please find attached

Answer:

127 nuts

Step-by-step explanation:

there is no explenation here... the answer is 127 nuts

Makensie bought 5.4 pounds of cashews for $18.62. Approximately how many pounds of cashews can Makensie purchase for $1?

Answers

Answer:

$4.00 per pound

Step-by-step explanation:

A grocery store sells cashew nuts at $8.00 per pound and peanuts at $4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at $6.50 per pound

what is the answer for 6-7b+7bx3+b?

Answers

Answer:

=7bx3−6b+6

Step-by-step explanation:

6−7b+7bx3+b

=6+−7b+7bx3+b

=6+−7b+7bx3+b

=(7bx3)+(−7b+b)+(6)

=7bx3+−6b+6

Answer:43b

Step-by-step explanation:7+7 x3 +b = 43b

Gary has a strip of paper that is 1712 inches long. He will place a sticker on the paper every

114 inches.

How many stickers will Gary place on the strip of paper?

Answers

Answer:

15

Step-by-step explanation:

pls rate and thank me so i can get the points, thanks

Answer:

he can fit 15 stickers...............................

Step-by-step explanation:

MATH HELP PLESE HELP ME

Answers

Answer: 99°

A supplementary angle is equal to 180°
The 81+99=180

Answer:

x=99

z=28

Step-by-step explanation:

180-81=99

81+3=84

84/3=28

the high road in scotland is 180 miles longer than the low road. when Jocelyn goes to scotland and returns along the low road the round trip is 1060 miles. how many miles is the high road

a.350
b. 440
c. 530
d. 620

Answers

Answer:

the aswer is 620(d)

Step-by-step explanation:

what i did was subtract 180 from 1060 and got 880

then i divides that by 2 and got 440

once i did that i then added the 18o to the 440 and got 620

Are the following equations perpendicular y-8=1/2(x+5) and y-
8=-1/2(x+5)? *

Answers

Answer:

Step-by-step explanation:

Yes

The line shown represents the amount of money Ben owes on his lunch account. 2 days ago, he owed $1. What is an equation of the line in point-slope form?

Answers

Answer:

y=-2x-1

Make sure to have no spaces in your answer.( if your test said that remember to not put space between them)

Step-by-step explanation:

Part A: Solve for A
Part B: Determine m∠ABQ
Part C: Determine m∠BCR
If there is work please show if you can​

Answers

Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-8

Answers

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

You want to cover the tables with pumpkin paper. Each table is 3 1⁄2 feet by 6 feet. There are 4 tables. How much pumpkin paper will you need?


Please help.

Answers

Answer:

25

Step-by-step explanation:

multiply 3 1/2 by 6

add the answer 4 times

I THINK

Given A and B are vertical angles with m anglr A = 20x + 10 and m angle B =30x - 10 , what is X?

Answers

Answer: The answer is 2

Step-by-step explanation:

Given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2

From the Vertical angle theorems, we have that

Two opposite vertical angles formed when two lines intersect each other are always equal to each other.

Now, from the question, we are given that A and B are vertical angles

That means

A = B

Also, from the question

measure of angle A = 20x + 10 and measure of angle B = 30x - 10

To determine the value of x, we will equate the two equations to each other  

A = 20x + 10

B = 30x - 10

Since, A = B

∴ 20x + 10 = 30x - 10

To solve for x,

First, add 10 to both sides

20x + 10 + 10 = 30x - 10 +10

We get

20x + 20 = 30x

Now, subtract 20x from both sides

20x - 20x + 20 = 30x - 20x

20 = 10x

That is,

10x = 20

∴ x = 20 ÷ 10

x = 2

Hence, given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2

Learn more here: https://brainly.com/question/5719544

What is the equation of the line that passes through the point (-5, 1) and has a slope of-1/5​

Answers

Slope Intercept Form: y = mx + b

m = slope
b = y-intercept

y = -1/5 + 1

You get the y-int, 1, from the ordered pair (-5,1)

The 1 from

Answer: Y=1/5x-2

Step-by-step explanation:

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