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<span />
(6,2) because X would equals 6 multiplied by 2 equals 12. Now minus 2 and that gives you a equilibrium of 10
Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.
The following equation makes more sense to solve it complete squares:
x² + 20x = 52
We have then:
x² + 20x + (10) ^ 2 = 52 + 100
(x + 10) ² = 152
Answer:
The most sense to solve by completing the square is for:
B) x² + 20x = 52
4 divided by 6 times 5 equals 3.333
V=LWH
L=8
W=7
H=5
V=8*7*5=280 in^3
you need 280 in^3 of water
