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
Answer:
g(x)=-x-5
Step-by-step explanation:
Simplify parenthesis by distribution:
g(x)=-x-3+2-4
Addition and Subtraction:
-3+2=-1, -1-4=-5
Finalize since no more simplification:
g(x)=-x-5
Pls give thx and brainliest wanna level up
A fraction with the denominator of 6 and is breather than 2/4 would be 5/6 or 4/6
The slope formula is is rise over run or y2-y1/x2-x1
If you plug in those numbers you will get
(-1)-(-4)
———
1-(-2)
Simplify it and you get
3
— or 1
3
So the slope is 1