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geniusboy [140]
2 years ago
5

To prepare for the school fundraiser, juanita pays $5 for 100 cups. She also buys Fruit juice for $.50 each. Write an equation t

hat describes the total cost. What is the domain. And what is the range?
Mathematics
1 answer:
ANTONII [103]2 years ago
7 0

Answer:

f(x) = 0.5x + 5

Domain: positive whole numbers

Range: f(x) ≥ 5

Step-by-step explanation:

Let's x denote the total number of fruit juice.

This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.

Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:

f(x) = 0.5x + 5

The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").

The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.

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pochemuha

Answer:

A

Step-by-step explanation:

6 0
2 years ago
For what value of x is the equation 2x-3
Alex Ar [27]

Answer: x=2

Step-by-step explanation:Algebraically solve this equation. First subtract x from 2x which gets you just x. then subract 3 from 4 which gets you 1. Then subract 1 from 3 which gets you to the equation x=2. You can plug it in and check

2(2)-3-2+4=3 which is 4-3-2+4=3 which is -1+4=3 which is 3=3 which is correct.

Hope this helps :)

4 0
3 years ago
PLEASE help me with this question!! I really need help!
alexdok [17]

Answer:

324π in²

Step-by-step explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V = \frac{4}{3}πr³

Here V = 972π , thus

\frac{4}{3}πr³ = 972π ( divide both sides by π )

\frac{4}{3}r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r = \sqrt[3]{729} = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²

5 0
3 years ago
Read 2 more answers
The function f(x)=3(2.5)x is shown on the coordinate plane.
aleksklad [387]
Hello! Sorry this is a little late, but hopefully it can help others who visit this question!

I believe the answers would be "approaches y = 0" and "increases without bond".

I can confirm these answers are 100% correct!

Hope this helped :)
7 0
3 years ago
Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7
larisa86 [58]

<u><em>Answer:</em></u>

<u>The two correct options are:</u>

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

<u><em>Explanation:</em></u>

The degree of an expression is given based on the highest power in the expression

<u>The given expression is:</u>

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that <u>the degree of the expression is 3</u>

<u>A quadratic function</u> is a function of <u>degree 2</u>. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

<u>This can be done by 2 methods:</u>

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

<u>Comparing the above with the given options, we can conclude that the two correct options are:</u>

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0
3 years ago
Read 2 more answers
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