Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Find thy radius.
Thy radius is 7.25 (D / 2 = R)
Thy formula for area is A = (pi)r^2
Substitute and Solve
A = (pi)r^2
= (pi)(7.25)^2
= (pi)(52.5625)
= 165.04625
Therefore, the area is about 165.
It’s either C or B but I’m not sure
The inequality statement shows that both Jose and Sue landed on red or blue squares and hence both lost some points. The points they lost were more than the points they gained, which resulted in an overall score having a negative value for each player.
Jose had a final score of -2 and Sue had a final score of -5. This means, Sue scored less and probably lost more points as compared to Jose. There is a difference of 3 points between the scores of both players.
Y intercept is where our x variable is equal to 0 and where the graph touches the y-axis.
Therefore, you can get the y intercept by just plugging in x = 0. For example, in the linear function: f(x) = 2x + 3, our y intercept would be (0,3) because we just set our x value equal to 0.
