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sineoko [7]
3 years ago
7

Find the equation of the line using the point-slope formula. write the final equation using the slope-intercept form. the x-inte

rcept is 1, and (x, y) = (−2, 15) is a point on the line

Mathematics
1 answer:
Masja [62]3 years ago
7 0
You are given two points on the line: (-2, 15) and (1, 0). (the x-int is where y equals zero)

This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.

Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.

To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15

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Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May.
Furkat [3]

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Read 2 more answers
Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.
Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0
3 years ago
Find the area of the following figure and write your result in the empty box.<br> ​<br> ​
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Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

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Now add:

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So the area is 406

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Thts the answer because 8 is bigger than X the arrow goes to the left because 8 is bigger than numbers 1-7

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3 years ago
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