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timurjin [86]
2 years ago
9

The function f(x) = 1.50x + 12.50 relates how much Kelsey pays for digital service, f(x), to the number of movies, x, she stream

s in a month. What is the value and meaning of f(18)? (5 points)
$27.00; this is the amount Kelsey pays for 18 months of service
$27.00; this is the amount Kelsey pays for 18 movies in 1 month
$39.50; this is the amount Kelsey pays for 18 months of service
$39.50; this is the amount Kelsey pays for 18 movies in 1 month
Mathematics
1 answer:
Kobotan [32]2 years ago
4 0
Hi there! f(18) makes the value of x 18 and x is the number of movies watched in 1 month. Therefore, A and C are eliminated because we’re talking 18 movies, not 18 months. B is also out, because Kelsey would pay more than $27 a month for the service, especially with the service fee. 18 * 1.50 is 27 and 27 + 12.50 is 39.50. Kelsey spends $39.50 a month watching 18 movies per month. The answer is D.
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Q15. Ken earned x dollars at his part-time job on Friday. His wife earned $12 more
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Ken earns 54 dollars at his part-time job on Friday

Given that Total amount earned by ken and his wife at their part-time job on Friday= $174

Money earned by ken= x dollars

Money earned by ken's wife = (2x+12) dollars

Total amount earned by ken and his wife at their part-time job on Friday=  x dollars + (2x+12) dollars

(x + 2x + 12 ) dollars = $ 174 ( addition of ken and ken's wife income and total amount earned by ken and his wife at their part-time job on Friday is $174)

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x=\frac{162}{3}

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Hence,Ken earns 54 dollars at his part-time job on Friday

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4 0
1 year ago
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Answer:

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2 years ago
Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se
Zepler [3.9K]
<h3>Given</h3>

Two positive numbers x and y such that xy = 192

<h3>Find</h3>

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

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6 0
3 years ago
What is the square root of 5 divided by the square root of 15 and simplify and in fraction form​
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Answer:

\sqrt{\frac{1}{3} }

or

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Step-by-step explanation:

The expression \frac{\sqrt{5} }{\sqrt{15} } can be simplified by first writing the fraction under one single radical instead of two.

\frac{\sqrt{5} }{\sqrt{15} } = \sqrt{\frac{5}{15} }

5/15 simplifies because both share the same factor 5.

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This can simplify further by breaking apart the radical.

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A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.

\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }  =\frac{\sqrt{3} }{3}

4 0
2 years ago
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