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3 years ago

F(x)=(x+2)^2-1 Find f^2(3)

Mathematics

1 answer:

ser-zykov [4K]3 years ago

5 0

<h3>Answer:</h3>

$f^2(3) = 576$

<h3>Step-by-step Explanation:</h3>

Given:

$f(x) = (x +2)^2 -1$

Solving for $f^2(3)$ :

$f^2(3) = (f(3))^2 \\ f^2(3) = (((3) +2)^2 -1)^2 \\ f^2(3) = ((3 +2)^2 -1)^2 \\ f^2(3) = ((5)^2 -1)^2 \\ f^2(3) = (25 -1)^2 \\ f^2(3) = 24^2 \\ f^2(3) = 576$

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4^3/2 Rewrite in radical form and then simplify

german

Answer:

Step-by-step explanation:

radical form conversion uses the equation: $\alpha ^\frac{z}{n} = `^n\sqrt{a^x}$

Use the rule to convert 4^3/2 to a radical, where a = 4, x = 3, and n = 2

$\sqrt{4^3}$

simplified, your answer is 8

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2 years ago

Read 2 more answers

A tax cut ________ aggregate demand and ________. A. decreases; shifts the AD curve leftward B. decreases; shifts the AD curve r

aksik [14]

Answer:

E. increases; shifts the AD curve rightward

Step-by-step explanation:

Tax cut means lower tax income tax rates, that mean individuals will have more of their income, that is more money to spend leading to increase in aggregate demand. This will lead to a rise (increase) in the aggregate demand curve which implies rightward movement.

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4 years ago

Please can someone help me basic geometry??? I need extra credit for my class

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3 years ago

Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or

MissTica

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.

6 0

3 years ago

The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of calories is approximately n

s344n2d4d5 [400]

Answer:

The probability that a randomly selected chocolate bar will have a. Between 200 and 220 calories will be 0.3023

Step-by-step explanation:

Given:

True mean=225

S.D=10

X1=200 and X2=220

To Find:

P(X1<x<X2)

Solution:

<em>BY using Z-table for probability and Z-score we can proceed.</em>

For 200 calories Z will be ,

Z=(sample mean -true mean)/S.D

=200-225/10

=-25/10

=-2.5

For 220 calories Z will be ,

Z=220-225/10

=-5/10

=-0.5

So required probability will be

$P(-2.5$

$=P(-2.5$

$=P(0>z>2.5)-P(0>z>0.5)$

$=0.4938-0.1915$

=0.3023

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3 years ago