Answer: B
Step-by-step explanation: 7/4 time 8/1 is 56/4 which simplifies to 14. B is the only statement that satisfies this
Answer:
g(x) = -2|x+1| -3
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C < 0 moves it down
y = |x| -3 for shifting down 3
y = f(x + C) C > 0 moves it left
y = |x+1| -3 for move it left 1
y = Cf(x) C > 1 stretches it in the y-direction
y = 2|x+1| -3 to stretch it 2 vertically
y = −f(x) Reflects it about x-axis
y = -2|x+1| -3
Answer:
65 in and 39 in respectively
Step-by-step explanation:
Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle, Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:
2(5r) + 2(3r) = 16r = 208 in
Then r = 208/16 = 13
Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),
or 65 in and 39 in respectively.
As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.
Then
I assume the cone has equation 
(i.e. the upper half of the infinite cone given by 
). Take
The volume of the described region (call it 
) is
The limits on 
and 
should be obvious. The lower limit on 
is obtained by first determining the intersection of the cone and sphere lies in the cylinder 
. The distance between the central axis of the cone and this intersection is 1. The sphere has radius 
. Then satisfies
(I've added a picture to better demonstrate this)
Computing the integral is trivial. We have
Answer:
(0,5)
Step-by-step explanation:
Y intercept is where line touches y axis so x = 0.
(0,5) since it's only 5 and the others don't count.
