Answer:
Step-by-step explanation:
C against x
income against sale of x games
for the first equation, the gradient would be 8 and for the second one the gradient would r with a y intercept at 48000
Answer:
![y = x+12](https://tex.z-dn.net/?f=y%20%3D%20x%2B12)
Step-by-step explanation:
Parallel => <u><em>This means it has the same slope as this one.</em></u>
Slope = m = 1
Now,
Point = (x,y) = (-6,2)
So, x = -6, y = 2
<u><em>Putting this in slope intercept form to get b</em></u>
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
=> 2 = (1)(-6) + b
=> b = 2+6
=> b = 8
<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>
=> ![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
=> ![y = x+12](https://tex.z-dn.net/?f=y%20%3D%20x%2B12)
Answer:
72 in^3
Step-by-step explanation:
The volume is found by V=Bh meaning volume = area of the base * height
V = 6 * 12
V = 72
A graph can be helpful for finding limits of integration.
The volume can be found using cylindrical shells of height (x-0.5x^2) and radius (3-x).
![V=\int\limits_{0}^{2}{2\pi (3-x)(x-0.5x^{2})}\,dx](https://tex.z-dn.net/?f=V%3D%5Cint%5Climits_%7B0%7D%5E%7B2%7D%7B2%5Cpi%20%283-x%29%28x-0.5x%5E%7B2%7D%29%7D%5C%2Cdx)
_____
The parabola whose area is shaded purple is the difference between the curves y=x and y=0.5x^2. The area under the parabola shaded purple is
(2/3)*height*width = (2/3)*(0.5)*2 = 2/3
The volume is that area multiplied by the circumference of the circle about which its centroid is revolved. That circle has radius 2, so its circumference is 4π. Then the volume is
V = (2/3)*4π = 8π/3