Answer:
C
Step-by-step explanation:
DIFFERENCE CAN BE CLEARLY OBSERVED ON THE HAT.
Answer:
D
Step-by-step explanation:
It is on the positive side of the graph and the point is on 3,1
Answer:
C
Step-by-step explanation:
The profit (in thousands of dollars) of a company is given by the function:
![\displaystyle P(x) = -8x^2+32x+14](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28x%29%20%3D%20-8x%5E2%2B32x%2B14)
And we want to find the maximum profit of the company.
Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:
![\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctext%7BVertex%7D%20%3D%20%5Cleft%28-%5Cfrac%7Bb%7D%7B2a%7D%2C%20f%5Cleft%28-%5Cfrac%7Bb%7D%7B2a%7D%5Cright%29%5Cright%29)
Find the <em>x-</em>coordinate of the vertex. In this case, <em>a</em> = -8, <em>b</em> = 32, and <em>c</em> = 14. Hence:
![\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D-%5Cfrac%7B%2832%29%7D%7B2%28-8%29%7D%3D%5Cfrac%7B32%7D%7B16%7D%3D2)
To find the maximum profit, substitute this value back into the function. Hence:
![\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%282%29%20%3D%20-8%282%29%5E2%2B32%282%29%20%2B%2014%20%3D%2046)
Therefore, the maximum profit of the company is 46 thousand dollars.
Our answer is C.
Answer:
that don't matter just the pre test if u get a good grade on a pre test you don't got ot do the lesson.
Step-by-step explanation: