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SSSSS [86.1K]
3 years ago
5

The equation y-4=-3(x+4) is written in point-slope form. What is the y-intercept of the line

Mathematics
2 answers:
cricket20 [7]3 years ago
8 0

Answer:

-8

Step-by-step explanation:

you need to rewrite it in y=mx+b form where b-is the y-intercept

y-4= -3(x+4)

distribute

y-4 = -3x-12

isolate y

y= -3x-8

compare this with the y=mx+b so y-intercept is -8

Anit [1.1K]3 years ago
8 0

Answer:

(0,-8)

Step-by-step explanation:

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Arnold is trying to make packing boxes out of 6 foot by 6 foot pieces of cardboard from the local grocer. Help Arnold decide how
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<span>Part I: Determining Dimensions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with the same size variable cut from each corner.

*You don't have to draw one, just explain what it would look like*


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Base of the box:

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     side of the base = 6 foot - x - x. = 6 - 2x

Height of the box: x

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Part III: Extend your Findings
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Volume = (36 - 24x + 4x²)x

Volume = 36x - 24x² + 4x³


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Since x is a physical dimension x is greater than 0

Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3

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d. Guess and check values to find the size cut that produces a maximum volume.
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0.1           36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5           36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0           36 - 24 + 4 = 16
1.5           36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0           36(2) - 24(2)² + 4(2)³ = 8
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1.2           36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55

Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
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