Answer:
sorry im on a time lapse, so the answer is 2 1/2. hope it helps
Step-by-step explanation:
Answer:
231q^3
Step-by-step explanation:
Just add them together. They have the same expressions. Whenever you see a number with an ending similarly to another such as 3x and 2x, they can add together.
This is no different. If something is 6x^2 and another is 7x^2, you would add them to get 13x^2.
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
Answer:
Step-by-step explanation:
Let A represent the area of the triangular base and h the height of the prism. Then the volume of this triangular prism is V = (1/3)(A)(h).
20% of 307.32 = 61.464 (Rounded to the nearest tenth, 61.46)
307.32 - 61.46 = $245.86
