Answer:
-9 1/4
Step-by-step explanation:
-5 3/4 - 3 1/2
-5 3/4 - 3 2/4
-9 1/4
Carrie could have 3 vases filled with 100 marbles, and 4 vases filled with 10 marbles. Hope I helped!
Answer:
The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.
Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.
Step-by-step explanation:
First let's find the area:
5x² × 12x
= 60x³
Now the perimeter:
2(5x² + 12x)
= 10x² + 24x
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
The answer is 30%.... because 50/65 is .3