TIP:
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The answer is y = 2x + 0 or y = 2x.
The line passes through (0,0) and (1,2). The slope is
m = (2 − 0)/(1 − 0) = 2.
(You could also see this by drawing the two points and a slope triangle and use the rise/run idea of slope.)
In the slope-intercept form, y = mx + b, you now know that m = 2 and b = 0, so the answer is
y = 2x + 0 or y = 2x.
Answer:
![e(2x^{2} -12x)-4x^{2}+C](https://tex.z-dn.net/?f=e%282x%5E%7B2%7D%20-12x%29-4x%5E%7B2%7D%2BC)
Step-by-step explanation:
We have been given an indefinite integral as
. We are asked to find the given integral.
Let us solve our given problem.
![\int \left(4x-12\right)e\:dx-\int 8x\:dx](https://tex.z-dn.net/?f=%5Cint%20%5Cleft%284x-12%5Cright%29e%5C%3Adx-%5Cint%208x%5C%3Adx)
Take out constant:
![e\int \left(4x-12\right)\:dx-8\int x\:dx](https://tex.z-dn.net/?f=e%5Cint%20%5Cleft%284x-12%5Cright%29%5C%3Adx-8%5Cint%20x%5C%3Adx)
![e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx](https://tex.z-dn.net/?f=e%28%5Cint%204x%5C%3Adx%20-%5Cint%2012%5Cright%5C%3Adx%29-8%5Cint%20x%5C%3Adx)
![e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C](https://tex.z-dn.net/?f=e%28%5Cfrac%7B4x%5E%7B1%2B1%7D%7D%7B2%7D%20-12x%29-8%2A%5Cfrac%7Bx%5E%7B1%2B1%7D%7D%7B1%2B1%7D%2BC)
![e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C](https://tex.z-dn.net/?f=e%28%5Cfrac%7B4x%5E%7B2%7D%7D%7B2%7D%20-12x%29-8%2A%5Cfrac%7Bx%5E%7B2%7D%7D%7B2%7D%2BC)
![e(2x^{2} -12x)-4x^{2}+C](https://tex.z-dn.net/?f=e%282x%5E%7B2%7D%20-12x%29-4x%5E%7B2%7D%2BC)
Therefore, our required integral would be
.
Answer:
it would be 10 1/2
Step-by-step explanation:
The ten is already a whole number so it would be itself. .5 is in the tenths place so it would be put over ten (5/10). Simplify 5/10 to 1/2 because 5 is half of 10
24 is a multiple of both 6 and 8.