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Molodets [167]
3 years ago
14

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

e x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x^2 + 4
g(x) = √3x^3
How does the composition of functions determine that this composition is how much Barret makes per hour?
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

f(g(x)) = 6x3 + 4 dollar/hour Answer is D

Step-by-step explanation:

Got it right on the test so yea.

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PLEASE HELP!!
Galina-37 [17]

Answer:

7

Step-by-step explanation:

We can check if it works:

7+(-6) is the same as saying 7-6 which is equal to 1. Therefore, we are correct. Hope I could help!

5 0
3 years ago
Read 2 more answers
Solve for w: w+6tw=11-w
Dmitrij [34]
<span>w+6tw=11-w
</span>
<span>Let's solve for w.
</span><span><span>
w+<span><span>6t</span>w</span></span>=<span>11−w

</span></span>
Step 1: Add w to both sides.<span><span><span><span><span>
6t</span>w</span>+w</span>+w</span>=<span><span><span>−w</span>+11</span>+w</span></span><span><span><span><span>
6t</span>w</span>+<span>2w</span></span>=11</span><span>
Step 2: Factor out variable w.
</span><span><span>
w<span>(<span><span>6t</span>+2</span>)</span></span>=11</span><span>
Step 3: Divide both sides by 6t+2.
</span><span><span>
w<span>(<span><span>6t</span>+2</span>)</span></span><span><span>/6t</span>+2</span></span>=<span>11/<span><span>6t</span>+2</span></span>

Answer: 11/6t+2



7 0
3 years ago
What is the answer to this math question 2 1/12-5 5/6
AleksandrR [38]

<em><u>The solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

2\frac{1}{12} - 5\frac{5}{6}

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}

5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}

<em><u>Thus the given expression becomes,</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}

Make the denominators same for easier calculations

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}

<em><u>Reducing to lowest terms, we get</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}

<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

6 0
3 years ago
What is the value of x?????
ioda

x=4, because 10+(4*2)=10+8=18 and since it is a rectangle the sides are the same.

5 0
3 years ago
Which expression will you generate if you combine the like terms in 5x + 6x + y + y + 3y + 4 + 6 + 2?
Anika [276]

Answer:

5x and 6x both have the letter x. Let's combine them! 5x+6x = 11x

y, y, and 3y all have the letter y. You can imagine y to be 1y, they're the same.

1y + 1y + 3y = 5y

4, 6, and 2 don't have any letters. 4 + 6 + 2 = 12

Now you have to put all the final terms together to get: 11x + 5y +12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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