Rocky has 7 bottles of water. He will buy more bottles of water from the store. The store has 8 cases in stock and each case contains 24 bottles of water. The store will not sell partial cases. The function that models the number of bottles of water Rocky will have after his purchase is f(c)=24c+7, where c is the number of cases of water he buys. What is the practical domain of the function?

What is the practical domain of the function?

(a) {31, 55, 79, 103, 127, 151, 175, 199}{31, 55, 79, 103, 127, 151, 175, 199}

(b) {1, 2, 3, 4, 5, 6, 7, 8}{1, 2, 3, 4, 5, 6, 7, 8}

(c) all real numbers from 1 to 8, inclusive

(d) all real numbers

Answers

Answer 1

Answer:

The correct answer is:

(b) {1, 2, 3, 4, 5, 6, 7, 8}

Explanation:

In this problem, we use the variable c to represent the independent quantity. This means that the domain is all possible values for c.

Since the store only has 8 cases of water, the domain cannot be any number larger than 8.

Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number.

This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.

Answer 2

Answer:

The practical domain of the function is all positive integer because c represents the number of case, and there is no negative number of case and it is not sold in partial so only positive integer can satisfy the given function.

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Please help with solving the blank answers

How do u multiply 1.75 times 35?

Answers

Multiplication of decimals is the same as multiplying whole numbers, except when you are done you just count the decimal places in the muliplicands and put the same number of decimal places in the answer. See the picture.

Final answer:

To multiply 1.75 by 35, use the distributive property: multiply 1.75 by 5 and 30 separately, then add the products.

Explanation:

To multiply 1.75 by 35, you can use the distributive property. Start by multiplying 1.75 by 5, which gives you 8.75. Then, multiply 1.75 by 30, which gives you 52.5. Finally, add the two products together to get the final answer: 8.75 + 52.5 = 61.25.

Learn more about Multiplication here:

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What is simplify x-2y=-2

Answers

x=-2+2y
x=2(-1+y)
x=2(y-1)

How do you reduce improper fractions?

Answers

Let me answer this question with an example:

Convert 25/6 into a mixed number.

Let's do it:
25/6
= (24+1)/6
= 24/6 + 1/6
= 4 1/6

That's how you do it. Hope this helps~

you divide the numerator by the denominator

Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3 Polygon Y's area is what fraction of Polygon X's area?

Answers

Answer:

1/9. Because the area is measured in units squared, then you have to square 1/3 which is 19th.

Step-by-step explanation:

The area is measured in squared units. You have to square 1/3 which is 1/9. $(1)/(3) ^2= (1)/(3) ((1)/(3))$

Answer:

1/9

Step-by-step explanation:

SideY/sideX = ⅓

AreaY/AreaX = (sideY/sideX)²

= (⅓)²

AreaY/AreaX = 1/9

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)

Answers

V=(4/3)pir^3
r=12
V=(4/3)pi12^3
V=(4/3)pi1728
V=2304pi in^3

Hi There!

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)?

$Vol = (4* \pi * x^(3) )/(3)$

Therefore the answer would be
V = 2304π cubic inches

Another way is?

V = 4/3πr³
r = 12 in.

V = 4/3π(12 in)³

V = 4/3π(1728 in³)

V = 2304π in³

a restaurant sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month keith spent $31.75 on a mug and refills write a equation to find the number of refills keith bought