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Anettt [7]
2 years ago
11

3/4 - 2/7 = Helpp pls this is my math test .

Mathematics
1 answer:
UkoKoshka [18]2 years ago
8 0

Answer:

13/28

Step-by-step explanation:

Hope this helps! <3

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Consider a graph for the equation y= -3x+4. What is the y intercept?
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Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = - 3x + 4 is in this form

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2x = 4y + 8, x - 2y = 4
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Answer: x = 8, y = 2, coordinates (8,2)

Step-by-step explanation:

2x = 4y + 8 (divide by 2 to get value of x)

x = 2y + 4

(now substitute x into the second equation to find value of y)

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2y - 2y = 4 - 4 (divide by 2 to get value of y)

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x - 4 = 4

x = 8

Coordinates (8,2)

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2 years ago
Find the volume of the following solid. The solid between the cylinder ​f(x,y)equals=e Superscript negative xe−x and the region
PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy

Now evaluate,

\int_{0}^{ln(6)}e^{-x}dx

which evaluates to,  5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

\int_{-6}^{6}\frac{5}{6}dy = 10

So,

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10

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1/2, 6/12, 9,/18, and 15/30
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