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3 years ago

Which situations can be modeled by a linear function?

Mathematics

2 answers:

lesya [120]3 years ago

8 0

Answer:

A) Car rental for $40 plus $0.25 per mile driven.

C) 10 pound six week old puppy gaining 3 pounds each month.

E) Gym membership that costs $30 and then just $2 per visit.

Step-by-step explanation:

AlexFokin [52]3 years ago

3 0

Answer:

the answer is a

Step-by-step explanation:

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The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in tempera

bija089 [108]

Answer:

C. It supports the scientific explanation for global warming.

Explanation:

The listed pieces of empirical evidence support the scientific explanation for global warming. Global warming is the long-term heating of Earth's climate, and the increase in levels of carbon dioxide and methane is the reason why glacial ice in the Antarctic and Arctic sea is melting.

These pieces of evidence don't deal with the past of the future. They tell us what is going on right now. Based on them, we could make an assumption about what is going to happen in the future, but there are no predictions here.

Also, this data can be used for science journals and textbooks, but that purpose is not expressed here.

This leaves us with option C as the correct one.

8 0

3 years ago

A magazine wants to publish an article about the world's wealthiest people and plans to publish

Len [333]

51.245 and 37.15

since they are both the highest

5 0

2 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0

3 years ago

Answer number 1 please.

Minchanka [31]

$\sf {a}^{2} = {13}^{2} - {5}^{2}$

Formula :

Base²= Hypotenuse² - Perpendicular ²

$\\ \\$

$\hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2}$

$\\ \\$

$\hookrightarrow\sf {a}^{2} =169 - 25$

$\\ \\$

$\hookrightarrow\sf {a}^{2} =144$

$\\ \\$

$\hookrightarrow\sf {a} = \sqrt{144}$

$\\ \\$

$\hookrightarrow\sf {a} = \sqrt{12 \times 12}$

$\\ \\$

$\hookrightarrow\sf {a} = 12$

Remember the a² in formula has nothing to do with the a we have to find. :)

6 0

2 years ago

Read 2 more answers

How do I solve this I’m dumb

laila [671]

-1/4 + f/8 = 1/2.
The LCD is 8. Rewrite this equation as -8/4 + 8f/8 = 8(1/2) and then reduce the result:

-2 + f = =4

Then f = 6.

You should check this result.

8 0

3 years ago