Answer:
The inverse function ![g^{-1} (x) = 4x - 20](https://tex.z-dn.net/?f=g%5E%7B-1%7D%20%28x%29%20%3D%204x%20-%2020)
Step-by-step explanation:
The given function is g(x) = 1/4 x + 5
Let's take g(x) = y
y = 1/4 x + 5
To find the inverse function, change x by y and y by x, we get
x = 1/4 y + 5
Now write the y interms of x.
Subtract 5 from both sides, we get
x - 5 = 1/4 y
Now isolate y.
y = (x - 5) ÷ (1/4)
y = 4(x - 5)
y = 4x - 20
Therefore, the inverse of g(x) is g^(-1) (x) = 4x - 20
Thank you.
Answer:
y=4x+b
Step-by-step explanation:
y = number of shoes isabelle has b = number of shoes leon has
1=<span>10 ÷ 40
2=</span><span>8.5 s
3=</span><span>141 km
4=</span><span>8.5 h
5=</span>56.0
Answer:
The volume of a cone is 1/3 of the volume of the cylinder.
Step-by-step explanation:
The formula for a cylinder is:
V = bh
For a cone:
V = 1/3(bh)
If the radius of both are the same, then the area of the base is the same. The height is also constant, therefore:
The volume of a cone is 1/3 the volume of the cylinder.
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Example to prove:
Given, radius 2 and height 15:
Cylinder: V = bh (b = πr²)
V = 4π × 15
V = 60π u³
Cone: V = 1/3 (bh)
V = 1/3 (4π × 15)
V = 20π u³
Its the 3rd one down. When they say something times the sum of sum something. Usually the sum of those 2 numbers are in parenthesis.