To find the x-intercept, put in 0 for the y.
0=1/4x-2
2=1/4x
8=x
The x-intercept is 8. The point is (8, 0).
To find the y-intercept, put in 0 for the x.
y=1/4(0)-2
y=0-2
y=-2
The y-intercept is -2. The point is (0, -2).
To graph, find the points on a coordinate plane and draw a straight line through them.
Hope this helps!
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
I think 9h
Step-by-step explanation:
Since both variable are the same, you can divide the numbers. 27/3=9. Add back in the variable, and the answer would be 9h. That's how I would solve it at least
The sign only changes when divided or multiplied by a negative number.
Answer:
Foxes
Step-by-step explanation: