The number in the parentheses is the rate of change. Because this number is less than 1 it is a decrease, so it is a decay.
The percent decrease is 1 - 0.63 = 0.37 = 37% decrease
Points on given line = (-12,-2) and (0,-4) because you can see them on the graph. Then draw a parallel line thru (0,6)
To get from (0,-4) to (0,6) your x stays constant and your y coordinate increased by 10. So your new point will do the same in relation to (-12,-2) the x will stay constant at -12 and your y will increase by 10 to +8.
So the answer is A (-12,8)
You can check this because parallel lines have the same slope so
y2-y1/x2-x1 should be equal for both lines.
Line 1: -4 - (-2) / 0 - (-12) = -2/12 = -1/6
Line 2: 6 - 8 / 0 - (-12) = -2/12 = -1/6
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
It would use 2.83 gallons of gas for a 2 hour trip
Answer:
Any fraction
Step-by-step explanation:
Example:
(2/3)² = 4/9
2/3 > 4/9