The formula for the volume of a prism is V=Bh, where B is the base area and h is the height.The base of the prism is a rectangle.The length of a rectangle is 9cm and the width is 7cm.
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
There is a 1/4 chance of getting the Blue Marble out of the bag. But when it is 2 in a row you have to multiply your chances so it would be 1/4 * 1/4 or 1/16
Step-by-step explanation:
The constant of proportionality is the ratio of the cost to the number of pounds of walnuts. In other words, it is the price of one pound of walnuts.
$10.92 / 4 lb = $2.73 / lb
Answer:
12000-14000 (in miles)
Step-by-step explanation:
We are given that the annual cost of driving a certain car is given by the formula
Where m=Represents the number of miles driven per year
C=Cost in dollars
We have to find the range of miles that Jane can drive her new car.
Range of budgets=$7040-$7780
Substitute C=$7040 in the given formula
Substitute C=$7780 in the given formula
The range of miles that Jane can drive her new car=12000-14000
