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Lerok [7]
3 years ago
12

Sammy usually takes a 18 minute shower in the morning. If a 4 minute shower uses an average of 20-40 gallons of water, what is t

he maximum gallons of water that Sammy could be using in her shower?
a.
72 gallons of water
b.
360 gallons of water
c.
90 gallons of water
d.
180 gallons of water
Mathematics
2 answers:
taurus [48]3 years ago
7 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

In a 4 minute, the shower uses an average of 20-40 gallons of water,

If we consider the maximum gallons of water,

In 4 minutes, the maximum gallons of water = 40

In 1 minute, the maximum gallons of water is given by

\frac{40}{4}=10

In 18 minutes, the maximum gallons of water is given by

18\times 10=180\ gallons

Hence, Option 'D' is correct.

mylen [45]3 years ago
5 0
D 180 gallons of water
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Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1
kicyunya [14]

Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

Final answer: Option D

6 0
2 years ago
Compound Inequalities <br> (Help)
sladkih [1.3K]
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The above is the second option in your question.

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Read 2 more answers
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