Answer:
75
Step-by-step explanation:
Buddy and Ken can do work 2/3 times faster than Tom and Ron. The LCM (10, 15) is 30. In thirty minutes Buddy and Ken will have installed 3 panels, while Tom and ron will have installed 2 panels. In thirty minutes 5 panels will have been placed. There are 12 panels that need to be placed so we know it will take another thirty minutes to place 5 more panels. After an hour only 10 panels will have been placed. So we need to add more time. There are only two panels that will need to be placed after an hour, so each group can place a panel. Tom and Ron will need 15 minutes so the answer is 60+15=75.
Answer:
A. x^2 + y^2 = 36
Step-by-step explanation:
The equation of a circle is usually written in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
The center is at the origin so (h,k) = (0,0) and the radius is 6 so r=6
x^2 + y^2 = 6^2
or x^2 +y^2 = 36
64 = 2x2x2x2x2x2
40=2x2x2x5
LCM=8x2x2x2x5=320
LCM= 320
Answer:
no
Step-by-step explanation:
To answer this question you need to transform the given equation of the parabola to the vertex form.
You do that in this way:
y = -16x^2 + 32x + 3
Extract common factor - 16 for the first two terms
y= -16(x^2 -2x) +3
Complete a perfect square
y = -16 (x -1)^2 +16 +3 = -16 (x -1)^2 + 19
Which using f(x) = x^2 is -16[f(x-1)] +19
That means that you use these steps:
1) shift f(x) one unit to the right,
2) reflect it over the x-axys, due to the negative sign in front of 16 (this changes the parabola from open up ward to open down ward)
3) multiply by the factor 16 (this stretches the graph)
4) shift the graph19 units up.
