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mel-nik [20]
3 years ago
11

Mike repairs televisions. His revenue, in dollars, can be modeled by the equation y = 25 + 30x, where x is the number of hours s

pent repairing televisions. His overhead cost, in dollars, can be modeled by the equation y=5x2−10 , where x is the number of hours spent repairing televisions. After how many hours does he break even? Note: The phrase break even refers to the value where the two functions are equivalent.
Mathematics
2 answers:
Talja [164]3 years ago
7 0
The answer is 7 hours i just took the test .
Alexxx [7]3 years ago
5 0

Answer: At x = 7 hours spent on repairing television he will get break even point.

Step-by-step explanation:

Since we have given that

Equation of revenue is given by

y=25+30x

where x is the number of hours spent repairing television.

Equation of overhead cost is given by

y=5x^2-10

We need to find the break even point.

As we know the break even situation:

R(x)=C(x)\\\\25+30x=5x^2-10\\\\5x^2-10-25-30x=0\\\\5x^2-30x-35=0\\\\x^2-6x-7=0\\\\x^2-7x+x-7=0\\\\x(x-7)+1(x-7)=0\\\\(x+1)(x-7)=0\\\\x=-1,7\\\\x=7

Hence, at x = 7 hours spent on repairing television he will get break even point.

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GARDEN Amanda is planting flowers in a rectangular garden. She wants to know the amount of space in her backyard the garden will
Andrew [12]

The function A(x) = 2x²-3x-2 represents the area of the garden.

Step-by-step explanation:

Given,

Length of rectangular garden is given by;

L(x) = 2x+1

Width of rectangular garden is given by;

W(x) = x-2

Area of rectangular garden;

A(x) = L(x) * W(x)

A(x) = (2x+1)(x-2)\\A(x) = 2x(x-2)+1(x-2)\\A(x) =2x^2-4x+x-2\\A(x) = 2x^2-3x-2

The function A(x) = 2x²-3x-2 represents the area of the garden.

Keywords: Area, rectangle

Learn more about area at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

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3 years ago
Plz help ????????????????????????<br> My brain hurts
aniked [119]

Answer:

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5 0
3 years ago
Read 2 more answers
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. Wh
alexgriva [62]

The distribution of the pants and the shirts illustrates probability

The probability that he winds up wearing the white shirt and tan pants is 1/8

<h3>How to determine the probability?</h3>

The number of shirts is given as:

Shirts = 4

The number of pants is given as:

Pants = 2

The probability that he winds up wearing the white shirt and tan pants is then calculated as:

P = P(White shirt) * P(tan pant)

This gives

P = 1/4 * 1/2

Evaluate the product

P = 1/8

Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8

Read more about probability at:

brainly.com/question/251701

5 0
2 years ago
"how many different rectangles" can you draw that have a perimeter of 12, 14
amm1812
Perimeter of rectangle = length + length + width + width

To find the combinations, think of two numbers that each multiplied by 2 and added up to give 12 or 14

Rectangle with perimeter 12

Say we take length = 2 and width = 3
Multiply the length by 2 = 2 × 2 = 4
Multiply the width by 3 = 2 × 3 = 6
Then add the answers = 4 + 6 = 10
This doesn't give us perimeter of 12 so we can't have the combination of length = 2 and width = 3

Take length = 4 and width = 2
Perimeter = 4+4+2+2 = 12
This is the first combination we can have

Take length = 5 and width = 1
Perimeter = 5+5+1+1 = 12
This is the second combination we can have

The question doesn't specify whether or not we are limited to use only integers, but if it is, we can only have two combinations of length and width that give perimeter of 12

length = 4 and width = 2
length = 5 and width = 1
--------------------------------------------------------------------------------------------------------------

Rectangle with perimeter of 14

Length = 4 and width = 3
Perimeter = 4+4+3+3 = 14

Length = 5 and width = 2
Perimeter = 5+5+2+2 = 14

Length = 6 and width = 1
Perimeter = 6+6+1+1 = 14

We can have 3 different combinations of length and width





3 0
3 years ago
HELP QUICKK Which equation represents the number of test questions in the problem
wel

Answer:D

Step-by-step explanation:m represents the multiple choice questions, s represents short answer questions, and 15 represents the number of questions

6 0
3 years ago
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