We are given f(x) = 5x
and we are to find inverse of f(x).
Step 1:
Replace f(x) by y.
So,
y = 5x
Step 2:
Isolate x
So,
x = y/5
Step 3:
Replace x by f'(y)
So,
f'(y) = y/5
Step 4:
Replace all occurrences of y by x.
So,
f'(x) = x/5
Therefore, the inverse of f(x) = 5x is f'(x) = x/5
To answer the question above, we let s be the cost of a shirt and h be the cost of each hat such that the equations that would best represent the given are:
10s + 20h = 490
20s + 30h = 860
The system of equations is the answer to the first question and the values of s and h are $25 and $12, respectively.
Paula would be 14 times 6 or 84
Tina would be 13 times 8 or 104
So tina made more
If the dolphins are fed half a bucket of fish then half of that would be a quarter, therefore the sea otters are fed 1/4 of a bucket.
Answer:
--- Slope intercept
--- Standard form
Step-by-step explanation:
Given
The attached linear graph
Required
The equation
Select any two points on the line


Next, calculate the slope (m)

So, we have:


The slope intercept is then calculated using:

So, we have:



Multiply through bu 4

Subtract 3x from both sides
--- Standard form