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gayaneshka [121]

2 years ago

11

Explain what is true if a rectangular prism and a cylinder have the same volume and the same height.

1 answer:

Luba_88 [7]2 years ago

7 0

If they both have the same volume and height, they would also have the same surface area.

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

Given the sequence below, what is the 9th term? 2, 1, 4, -1, 6, ...

jolli1 [7]

Answer:

The 9th term would be 10.

Step-by-step explanation:

Each of the odd terms is 2 more than the previous. We do not even need to look at the even terms to find the 9th one.

2, odd, 4, odd, 6, odd, 8, odd, 10

8 0

2 years ago

Please, I need to know how this question is done. please

oksian1 [2.3K]

subsitute x = 6 into the lengths

3(6) -7

18 - 7

11cm

(6) + 5

11cm

therefore it is a square when x = 6 because the sides are all equal

8 0

2 years ago

What's 1 and 2/3 times 1 and 1/3?

kari74 [83]

<span>1 and 2/3 time 1 and 1/3 is 2.22222222222 which rounds to 2.</span>

6 0

2 years ago

Read 2 more answers

There are 70 sixth graders at Wilson Middle School. Only 40% of the sixth graders will attend the morning assembly. How many six

love history [14]

Answer: 42

Step-by-step explanation:

We know that because 40% percent of 70 equals 28. So we do the following-

70 minus 28 equals 42!

Glad to help!

8 0

2 years ago