Answer:
A. g(x)=1/2x²
Step-by-step explanation:
Given:
f(x)=x²
We have to find g(x)
Since, we are given that g(2)=2
1. g(x)=1/2x²
x=2
g(x)=1/2(2)²
=1/2(4)
=4/2
=2
2. g(x)=1/4x²
x=2,
g(x)=1/4(2)²
=1/4(4)
=4/4
=1
3. g(x)= 2x²
at x=2,
g(x)=2(2)²
=2(4)
=8
4. g(x)=(1/2x)²
x=2
g(x)={1/2(2)}²
=(1/4)²
=1/16
A. g(x)=1/2x² is the answer
Step-by-step explanation:
Because a^m / a^n = a^(m-n),
we have 5³ / 5⁷ = 5^(3-7) = 5^(-4).
Answer:
number of math problems = 26
number of science problem = 16
Step-by-step explanation:
a total of 42 math and science problems for homework
Let m be the number of math problems and 's' be the number of science problems
You have 10 more math problems than science problems
substitute s+10 for m in the first equation
subtract 10 from both sides
divide both sides by 2
number of math problems = 26
number of science problem = 16
Answer:
3 gallons of paint
Step-by-step explanation:
Various data is missing, but I think it can be solved with the following assumptions:
The first thing is to assume that 12 gallons was the exact amount needed for the two rooms.
If so, we can say the following where x is the size of the smallest room:
Room 1: It is 2 * x and needs 3 coats of paint, so there would be 6 * x left
Room 2: is x and uses 2 coats of paint therefore 2 * x
The paint sum would be as follows:
6 * x + 2 * x = 8 * x
8 * x = 12
x = 12/8 = 3/2
So:
Room 1: 6 * 3/2 = 9, 9 gallons of paint needed
Room 2: 2 * 3/2 = 3, 3 gallons of paint needed
Room two is the unpainted one so 3 gallons of paint was returned.
The volume of a sphere -
The volume of a cone -
r - radius, h - height
The sphere and the cone have the same volume and the radius is 3 inches.
The height of the cone is
12 inches.