Answer:
hope this helps
Step-by-step explanation:
solution:
x^2 + 3x + 5 = x + 13
x^2 + 2x -8 = 0
(x+4)(x-2) = 0
x = -4 or x = 2
if x = -4, y = 9
if x = 2 , y = 15
Answer:
1⅚
Step-by-step explanation:
(3 + ⅔) ÷ 2
11/3 ÷ 2
11/3 × 1/2
11/6
1⅚
Answer:
The answer is D.
Step-by-step explanation:
Well, all the equations are the same except for the symbol so you don't need to figure out the equation of the line.
Anyways, note that the line is dotted, which means it cannot be A nor B since they have an "equal to."
Also, note that the shaded region is above the graph. Since it is above, it means that y is greater than whatever x is.
Thus, the answer is D.
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:
The only way of getting to 10 using 2x it should mean that x = 5
2 * 5 = 10