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Alenkinab [10]
3 years ago
10

Write a linear equation with slope -1 and y intercept of 3

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

y = -x +3

Step-by-step explanation:

Think about the Y= mx + b

m = -1 so it's -x

b = 3, so it's +3

y intercept goes after the slope:

Y= Mx + B

Y = -x + 3

If you have any more questions that are math related (algebra 1 and geometry, please let me know and don't forget to click that friend button! Let me know if you have any more questions!

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
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Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

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Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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2 years ago
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