Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
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As the attached graph shows, a graphing calculator can also provide the solution.
Answer:
(7, 0) and (3,0)
Step-by-step explanation:
On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!
Answer:
C. A reflection over the y-axis
Step-by-step explanation:
The correct answer would be choice "C" because first off, you can see that the shape hasn't grown/shrink. We can also see that it doesn't seemed to have rotated, otherwise it would be flipped in a certain direction. So, now we're left with a reflection over the y-axis/reflection over x-axis.
If the shape had reflected over the x-axis, it would be in the lower quadrants of the graph, since it would be flipped over a horizontal line. But instead, the shape has flipped to the left, making it a reflection over the y-axis.
7’7 cuz that would be cool
Answer:
y = (4/25)x
Step-by-step explanation:
We are given;
y = 16/5 and x = 20
Now if y varies directly with x, then we can say;
y = mx
Where m is constant of proportionality
This means that;
16/5 = 20m
Divide both sides by 20 to get;
(16/5) × 1/20 = m
16/100 = m
m = 4/25
Thus,the equation is:
y = (4/25)x
