The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
Answer: C.-1.5
Step-by-step explanation:
Given: The burning time of a very large candle is normally distributed with mean
of 2500 hours and standard deviation
of 20 hours.
Let X be a random variable that represent the burning time of a very large candle.
Formula: 
For X = 2470

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5
Hence, the correct option is C.-1.5.
Answer:
B
Step-by-step explanation:
<em>Let
be the radius of one sphere.</em>
- Volume of sphere is

Since radius is r, the height of the cylinder will be 
Also, the cylinder has the same radius as the sphere: 
- Volume of Cylinder is

Plugging in the values we get: 
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

The ratio is 1:3
Answer choice B is right.
The graph is y=x+4, to get the x-intercept we let y=0; and solve for x
thus we shall have:
0=x+4
subtract 4 from both sides
0-4=x+4-4
-4=x
hence the x-intercept will be at point (-4,0)
Answer:
Please see attached picture for full solution.