Answer:
$25 + 15x
Step-by-step explanation:
$25 is the maintenance fee +
$15x (x will be the number of yards)
The upper limit is constant, so the derivative of the integral evaluated there is 0. The derivative of the integral evaluated at the lower limit is the product of the integrand evaluated at the lower limit and the derivative of the lower limit.
F'(x) = 0 -cos((x^3)^4)·3x^2
Simplifying, ...
F'(x) = -3x^2·cos(x^12)
The appropriate choice is ...
B. -3x^2cos(x^12)
Answer:
8 4/7
Step-by-step explanation:
Use a proportion.
Let the unknown number of laps for 30 minutes be x.
7 minutes is to 2 laps as 30 minutes is to x laps
7/2 = 30/x
Cross multiply.
7x = 2 * 30
7x = 60
x = 60/7
x = 8 4/7
Answer: 8 4/7
Answer:
B
Step-by-step explanation:
Given equation of the parabola y= -5x^2 -10x -13.
We need to apply formla for x-coordinate of the vertex.
x=-b/2a.
For the given equation we have a=-5 and b=-10.
Plugging values of a and b in formula of x-coordinate of the vertex.
x= -(-10)/2(-5)
x= 10/(-10) = -1.
So, we got x-coordinate of the vertex = -1.
Now, we need to plug x=-1 in given equation to find the y-coordinate of the vertex.
Plugging x=-1 in y= -5x^2 -10x -13, equation we get
y=-5(-1)^2-10(-1)-13.
y= -5(1) +10 -13.
y=-5 +10-13.
y=-18+10.
y=-8.
So, we got y-coordinate of the vertex -8.
Therefore, vertex of the parabola is (-1,-8).