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4 years ago

11

Which function has a domain of (-∞, ∞) and a range of (-3, ∞)?

1 answer:

shtirl [24]4 years ago

5 0

Answer:

Step-by-step explanation:

The function that will have the domain $(\infty, \infty)$ and a range of $(-3, \infty)$ is the

function in option d.) $f(x) = e^x - 3$

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The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?

aivan3 [116]

Answer:

<em>Volume</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>sphere</em><em> </em><em>is</em><em> </em><em>36</em><em>π</em><em> </em><em>(</em><em>or</em><em>)</em><em> </em><em>113</em><em>.</em><em>097</em><em> </em><em>cubic</em><em> </em><em>centimetre</em><em>. </em>

Step-by-step explanation:

$given \\ diameter \: of \: sphere = 6 \: cm \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{6}{2} \\ radius \: (r) = \: 3 \: cm \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = 3 \: cm \\ on \: substituting \: r \: = 3 \: \: in \: formula \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {3}^{3} \\ \: \: = \frac{4}{3} \pi \: 27 \\ \: = \: 4 \pi \times 9 \\ \: \: = 36\pi \\ \: \: = 113.097 \: {cm}^{3}$

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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3 years ago

Which of the following expressions are equivalent to 6-37

xxMikexx [17]

Unfinished question.

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3 years ago

What is the greatest common factor of 7, 4, and 39?

ahrayia [7]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?

andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

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3 years ago

Find B if the graph of the equation 3x=By+2 is perpendicular to the graph of 3y=-2x+4.

Romashka [77]

Answer:

B = $\frac{3x}{y}$ - $\frac{2}{y}$

8 0

3 years ago