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3 years ago

The function g(x) is the transformation of the function f(x). Decide how f(x) was transformed to make g(x).

Mathematics

1 answer:

yan [13]3 years ago

6 0

Answer:

Correct option: A -> Horizontal or vertical reflection

Step-by-step explanation:

We can observe that the value of x in f(x) gives a value that is the same value we have in g(x) with the value -x.

That is, x = 1 in f(x) gives the same result as x = -1 in g(x)

So this means that these functions are a reflex of each other in relation to the y-axis, as the x values of one have the same result as (-x) values for the other one.

So the correct option is A: Horizontal or vertical reflection

(It is a horizontal reflection)

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Solve the equation below pls show your work no links pls. <img src="https://tex.z-dn.net/?f=%289%5E%7B2%7D%20%29%5E%7B-1%2F3

avanturin [10]

Given :-

$(9^{2} )^{-1/3}$

To Find :-

To solve the expression .

Solution :-

Given expression to us is ,

$(9^{2} )^{-1/3}$

We know that ,

$9 = 3^2$

So our expression becomes ,

$\{ (3^2)^2\}^{\frac{-1}{3}}$

And , $(a^m)^n =a^{mn}$ . Using this ,

$(3^4)^{\frac{-1}{3}}$

Again using the same law ,

$3^{\frac{-4}{3}}$

We know that , $a^{-m}=\frac{1}{a^m}$ . Therefore ,

$(3^{-4})^{\frac{1}{3}}$

$\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}$

$\\ \dfrac{1}{\sqrt[3]{3^4}}$

Simplify ,

$\dfrac{1}{3\sqrt[3]{3}}$

This is the simplified expression.

I hope this helps.

3 0

2 years ago

Your new dresser will be 2/5ths larger than your old dresser. Your old dresser can hold 6.25 cubic feet, how much cubic feet wil

marissa [1.9K]

Answer:

8.75 cubic feet

Step-by-step explanation:

Your new dresser will be $\frac{2}{5}^{ths}$ larger than your old dresser.

This means that your new dresser wil be

$1+\dfrac{2}{5}=\dfrac{5+2}{5}=\dfrac{7}{5}$

of your old dresser.

Your old dresser can hold 6.25 cubic feet, so your new dresser can hold

$\dfrac{7}{5}\cdot 6.25=7\cdot 1.25=8.75\ ft^3$

4 0

3 years ago

What is 36 multiplied by 3/4

vivado [14]

36(3/4) 36(3)=108 / 4 = 27
Answer is 27

8 0

4 years ago

Write each repeating decimal as a fraction in simplest form: 1. 0.21 repeating

Oxana [17]

0.21212121212121212121...=7/33.

How did I find this out?

n=0.212121212121...

100n=21.212121212121...

100n-n=99n=21

Therefore n=21/99=7/33

6 0

3 years ago

Which graph represents the solution set to the system of inequalities?

Eddi Din [679]

Answer:

Step-by-step explanation:

y ≤ 2x + 2 ⇒ 2x → line increasing, ≤ → solid line, y≤ → shade below line

¹/₂x + y < 7

y < -¹/₂x + 7 ⇒ -¹/₂x → line decreasing, < → dashed line, y< → shade below line

y − 3 ≥ 0

y ≥ 3 ⇒ 0x → line parallel to X-axis, ≥ → solid line, y≥ → shade above line

8 0

3 years ago