Answer:
4 inches should be turned up on both sides.
Step-by-step explanation:
In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.
100 * x * (16 - 2x) = MAX
100 * (16x - 2x^2) = MAX
-200x^2 + 1600x = MAX
Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).
x = -b/2a
x = -1600/2(-200)
x = -1600/-400
x = 4
Answer:
4.5
Step-by-step explanation:
4x+6 = 6x-3
3+6 = 6x-4x
9 = 2x
X =4.5
Answer:
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps
Answer:
789.6
Step-by-step explanation:
