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3 years ago

Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following.

1 answer:

4 0

4.
h(f(x)=h(2x-1)=
(2x-1)^2+1=
4x²-4x+1+1=
4x²-4x+2

5.
f(f(x))=2(2x-1)-1=4x-2-1=4x-3

6.
f o g (x)=f(g(x))
h o g (x)=h(g(x))=
(3x)^2+1=
9x²+1

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3 years ago

1. Find "V". Round to hundreds. V = LWH L= 29.4 W = 16.7 H = 21.8

postnew [5]

Volume = 10,700

V = LWH

L = 29.4

W = 16.7

H = 21.8

All we need to do is multiply them all together and then round the answer to get our final answer to the hundreds place.

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V = 29.4(16.7)(21.8)

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3 years ago

The league championship 800 meter race has 6 runners.

s2008m [1.1K]

Answer: 120

Step-by-step explanation:

Given : The league championship 800 meter race has 6 runners.

The number of positions = 3

Since order matters here , so we use Permutation.

The permutation of n things taking r at a time is given by :-

$^nP_r=\dfrac{n!}{(n-r)!}$

Then, the number of different ways they place first, second, and third :_

$^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120$

Hence, they can place first, second, and third in 120 different ways .

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3 years ago