Answer:
14
Step-by-step explanation:
3(4)+2
12+2
14
The slope of the graph is 3
Answer:
80.7 inches
Step-by-step explanation:
circumference = 2 * pi * r
2 * pi * r = 507 inches
r = (507 inches)/(2 * pi)
r = (507 inches)/(2 * 3.14159)
r = (507 inches)/(6.2832)
r = 80.7 inches
Answer:
Ellipse
Step-by-step explanation:
Given
Required
The kind of shapes with such equations
This answer to this question is(B) Ellipse
The parametric equation of an ellipse is represented as:
and
In this case:
So:
and
Part A: Determine the equations maxima or minima by equating the function's derivative to zero and solving for x.
f(x) = y = -x² + 60x - 116
dy / dx = -2x + 60 = 0
The value of x is calculated below,
-2x + 60 = 0
-2x = -60
x = 30
Substitute the x to the equation,
f(x) = -x² + 60x - 116
f(30) = -(30²) + (60)(30) - 116 = 784
y = 784
This means that the maximum amount of profit which is 784 can only be attained if the company repairs 30 windshields.
Part B: The x-intercepts are calculated by equating the function to zero, 0.
f(x) = -x² + 60x - 116 = 0
The values of x from the equation are 58 and 2.
In the context of the problem, this means that if the company repairs 58 or 2 windshields, they will not gain any profit.