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velikii [3]
3 years ago
13

A line has a slope of 2 and a y intercept of (0,-4) what is the value of y when x=6

Mathematics
1 answer:
Pavel [41]3 years ago
3 0
First we set up an equation with the givens (slope and y intercept):
y = 2x -4
next plug in 6 for x.
y = (2x6) - 4
y = 12 - 4

And this will give us the value of y: 8.
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Find the first four terms of the sequence given by the following an=57-4(n-1),n=1,2,3
Crazy boy [7]

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57, 53, 49, 45

Step-by-step explanation:

Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so

a(1) = 57-0 = 57  so that is the 1st term

2nd term 57-4(2-1) so =57-4(1) so   a(2) = 57-4 = 53, etc.

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2 years ago
What is the radius of the cone?
gayaneshka [121]

Answer:

r = 6 in

Step-by-step explanation:

V = \pi r^{2} \frac{h}{3} = 216\pi

r²h/3 = 216

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2 years ago
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Answer:

Step-by-step explanation:

4 0
3 years ago
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1
Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0
2 years ago
Read 2 more answers
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