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spin [16.1K]
2 years ago
13

Find the unit rate demonstratied in the graph below need help asap

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
6 0
The answer is c) 4.5 miles
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Barrett works at an ice cream shop. the function f(x) represents the amount of money in dollars barrett earns per gallon of ice
SIZIF [17.4K]

Amount of money earned per number of hours of work =  f(g(x)) = 6x^{3} + 4

<h3>What is a composite function?</h3>
  • A composite function is generally a function that is written inside another function.
  • Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.

To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.

Required calculation -

Amount of money (the earning) per unit x = f(x) = 2x^{2} + 4

Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works = g(x) = \sqrt{3x^{3}}

we are to find the composite function f(g(x))

Substituting g(x) into the x of f(x), we find:

f(g(x)) = 2(\sqrt{3x^{3} } )^{2} + 4\\\\= 2(3x^{3} ) + 4\\= 6 x^{3} + 4

To learn  more about composite function from given link

brainly.com/question/14865610

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3 0
1 year ago
Which number line represents the solutions to |x – 2| = 6? A number line from negative 10 to 10 in increments of 1. Two points,
nekit [7.7K]

Answer:

x = 8 or x = -4, i.e., the last number line

Step-by-step explanation:

|x – 2| = 6 translates to

x-2 = 6 or x-2 = -6 if you eliminate the absolute operation. So there are two solutions that you can solve independently:

x-2 = 6 => x = 8

x-2 = -6 => x = -4

5 0
3 years ago
Read 3 more answers
X / 2 = 7 find what x represents
Masteriza [31]

Answer:

x = 14

Step-by-step explanation:

X / 2 = 7

Multiply by 2 to isolate x.

x = 7 * 2

x = 14

3 0
3 years ago
Using the mileage chart below, find the distance between Rapid City and
Lynna [10]

Answer:

28 miles

Step-by-step explanation:

i took the quizz

8 0
3 years ago
A baseball player has made 32 free throws in 45 attempts for current success rate of 71%. How many consecutive free throws must
s344n2d4d5 [400]

Answer: The player need to make 2 consecutive free throws to raise the average to 75%.

Step-by-step explanation:

Let the number of extra consecutive free throws to raise the average to 75% be 'x'.

Number of free throws already taken = 32

Number of attempts = 45

According to question, it becomes,

\dfrac{32+x}{45}=0.75\\32+x=45\times 0.75\\\\32+x=33.75\\\\x=33.75-32\\\\x=1.75

Hence, the player need to make 2 consecutive free throws to raise the average to 75%.

6 0
3 years ago
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