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:
11
Step-by-step explanation:
Opposite sides are congruent at parallelograms. So x+16 must be equal to 2x+5. Solve the equation;
2x+5 = x+16
x = 11 .
Well,
As we can see, the only difference is that the parentheses have moved.
This is an example of the associative property. It is specifically of multiplication, because products are used in this case.
Just as a test, let's see whether they are really equal.
Following PEMDAS, we get:
(2*4)7 = 2(7*4)
(8)7 = 2(28)
56 = 56
They are equivalent.
Answer: No, Store A is charging $2.20 per rose while Store B is charging 2.166667 dollars per rose.
Step-by-step explanation:
11/5 = 2.2
(To check) 2.2 x 5 also equals $11
However, they are not selling roses at the same rate because if you were to do 2.2x6 it will equal 13.2.
13/6 = 2.166667
