(8c)^2+7c
(8c)^2=64c^2
so that..
64c^2+7c
factor out c
c(64c+7)
The first machine does 200 in 1 hour, so in 8.5 hours it will then do 200 * 8.5.
the second machine does 180 in 1 hour, so in 8.5 hours it will then do 180 * 8.5.
the third machine does 150 in 1 hour, so in 8.5 hours it will do then 150 * 8.5.
how many bottles will they all do in total on that time?
(200 * 8.5) + (180 * 8.5) + (150 * 8.5)
Answer:
First option: 6y^2sqrt(10) + 12sqrt(5y)
Step-by-step explanation:
3sqrt(10) * (2y^2 + 2sqrt(2y)
= 6y^2sqrt(10) + 6sqrt(20y)
= 6y^2sqrt(10) + 12sqrt(5y)
Answer:
10x-40
Step-by-step explanation:
5 times 2x minus 40 works because of the distributive property
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)
