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kondor19780726 [428]
2 years ago
9

The Color My Room painting company charges a fixed set-up fee of $20 per job and the $0.25 per square foot to paint. Let p repre

sent the square footage of a laundry rooms walls. Write an algebraic expression to find the total cost to paint the room. All help is deeply appreciated.
Mathematics
1 answer:
Pani-rosa [81]2 years ago
5 0

Answer:

0.25p+20

Step-by-step explanation:

Since there is a set up fee of $20 then you would have to add it to the value of what 0.25p will be. Since p represents every square foot of the walls and you would multiply p by 0.25 every square foot is $0.25 then 0.25p+20 would accurately represent the problem

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Step-by-step explanation:

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2 years ago
The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
Easy math question! brainliest :)
Naddika [18.5K]

Answer:

b.) distance north or south of the equator

Step-by-step explanation:

Lines of latitude are horizontal lines parallel with the equator.

The equator is the central line of latitude, and latitude is measured north or south of the equator.

Answer: b.) distance north or south of the equator

6 0
2 years ago
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Answer:

A

Step-by-step explanation:

This is because 6f+f is just 7f.

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Soooo, ONLY A gives us 7f when added together again.

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2 years ago
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Find the remainder when
Alona [7]

Dividing <em>f(x)</em> by 2<em>x</em> + 5 leaves the same remainder as division by <em>x</em> + 5/2. By the remainder theorem, it is equal to <em>f </em>(-5/2), so the remainder here is

<em>f</em> (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2

6 0
3 years ago
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