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jarptica [38.1K]
3 years ago
7

X+1/2y=4 Solve the equation for Y

Mathematics
2 answers:
alex41 [277]3 years ago
8 0
X+1/2y = 4
(X+1)*2y=4*2y
2xy+2y=8y
2*y=8y-2y
2xy=6y
2x=6
X=3

3+1/2y=4
4/2y
Y=16

AysviL [449]3 years ago
4 0

Answer:8/1

Step-by-step explanation:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

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castortr0y [4]

Answer: The correct option is second, i.e. ,"2 times the integral from 0 to 1 of the quantity x cubed minus 3 times x squared plus 2 times x, dx".

Explanation:

The given equation is,

y=x^3-3x^2+2x

It can be written as,

f(x)=x^3-3x^2+2x

Find the zeros of the equation. Equation the function equal to 0.

0=x^3-3x^2+2x

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x(x^2-2x-x+2)=0

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So, the three zeros are 0, 1 and 2.

The graph of the equation is shown below.

From the given graph it is noticed that the enclosed by the curve and x- axis is lies between 0 to 2, but the area from 0 to 1 lies above the x-axis and area from 1 to 2 lies below the x-axis. So the function will be negative from 1 to 2.

The area enclosed by curve and x-axis is,

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From the graph it is noticed that the area from 0 to 1 is symmetric or same as area from 1 to 2. So the total area is the twice of area from 0 to 1.

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Therefore, The correct option is "2 times the integral from 0 to 1 of the quantity x cubed minus 3 times x squared plus 2 times x, dx".

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