Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If
, the function is shifted up "k" units.
2. If
, the function is shifted down "k" units.
3. If
, the function is shifted left "k" units.
4. If
, the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:

And the function "g" intersects the y-axis at:

Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:

Answer:
Step-by-step explanation:
Volume = pi·(r^2)*h
r = radius = (5x+4)
h = height = (2x+5)
Volume = pi·(r^2)
Volume = pi·(5x+4)^2*(2x+8)
Volume = pi·(25x^2+40x+16)*(2x+8)
Volume = pi·(50x^2+80x+32+200x^2+32x+128)
Volume = pi·(250x^2+112x+160)
3,200?? (it may not be right I'm sorry.)
Answer:
No. of times Ellen draws a blue marble = 120
Step-by-step explanation:
No. of red marbles = 3
No. of blue marbles = 2

So, the required probability is 120.
Answer:
a. 1/5
b. (3, 3/5)
c. 1/5x = y
Step-by-step explanation:
Remember: (x, y)
0.5 = 1/2
(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.
1 2/5 = 7/5
(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.
- a. 1/5 is the constant of proportionality
- b. (3, 3/5) because 3/5 ÷ 3 or 3/5 • 1/3 = 1/5.
- c. 1/5x = y