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Andrews [41]
3 years ago
11

Ms. Williamson woke up one morning to find her basement flooded with water. She called two different plumbers to get their rates

. The first plumber charges $36 just to walk in the door plus $28 an hour. The second plumber charges a flat $64 an hour.
a. What is the cost for each plumber if the job takes four hours?


b. How many hours did the first plumber take to do the job if he charged $176?


c. After how many hours will the cost for both plumbers be the same?
Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour

B. He did 5 hours

C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.

Step-by-step explanation:

Your welcome

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Find ( f - g)(x).<br><br> f (x) = -2x2 - 2x - 3 and g(x) = 3x2 - 4x - 4
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Answer:

\large\boxed{(f-g)(x)=-5x^2+2x+1}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1

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Step-by-step explanation:

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2 years ago
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1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in
olga_2 [115]

<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is 360+67 = 427 inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

cos \theta = \frac{adjacent side}{hypotenuse} .

cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.

x=\frac{427}{0.5} = 854.

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0
3 years ago
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