If f(x)=x^2-8x-20 then
dy/dx=2x-8 and d2y/dx2=2
A) Since acceleration is a constant positive the parabola opens upward.
B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum
C) The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4
So the axis of symmetry is the vertical line x=4.
The vertex is y(4)=-36, corresponding to the vertex point (4,-36)
The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)
Answer:
12 Bottles of Lotion
Step-by-step explanation:
If Each bottle uses 1/4 Gallon (0.25 Gallon) then in order to find how many bottles of lotion Jill will be able to make with 3 Gallons, you would need to divide the 3 Gallons by the amount each bottle needs, like so...
3 gallons / 0.25 = # of Bottles
3 gallons / 0.25 = 12 Bottles
After doing this small calculation we can see that from the 3 Gallons Jill will be able to make a total of 12 Bottles of Lotion
Answer:
-11/12
Step-by-step explanation:
Last one
Answer:
The equation of a line with a slope of m and a y-intercept of (0, b) is y = mx + b. To graph a line that is written in slope-intercept form: Plot the y-intercept on the coordinate plane. Use the slope to find another point on the line.
Step-by-step explanation: