ANSWER

EXPLANATION
Given the parent function:

If we shift the graph of f(x), 5 units to the left, then the new rule is

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

Or

Answer:
f(1/3) = 9
Step-by-step explanation:
f(x)=1/x+2/x
Combine terms
f(x) = 3/x
f(1/3) = 3 / (1/3)
f(1/3) = 9
Answer:
148.49
Step-by-step explanation:
105 x √2 = 148.49
have a great day
Answer:
Step-by-step explanation:
<u>Given:</u>
- G = (11,-5)
- M = (4,-4)
- R = ?
<u>Solution</u>
<u>As per midpoint formula;</u>
- 4 = (11 + x)/2 ⇒ x + 11 = 8 ⇒ x = 3
- -4 = (-5 + y)/2 ⇒ y - 5 = -8 ⇒ y = -3
- R = (3, -3)
Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm