-3v+24 would be your answer
(a)
In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.
The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,
The amount of vitamins (in grams) for a price of x dollars.
(b)
Let P(n) = x, So

Replace n by x and x by n in the given equation.

Simplify the equation for x.

So inverse of function is after interchange of variables,

(c)
Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).

So answer is 6.5.
To write an equation in slope intercept form given the slope and a point, plug into point-slope form.
(y - y1) = m(x - x1)
In this equation, m is your slope and (x1, y1) is your point. If you follow this and solve for y, you will get your equation in slope intercept form.
Follow these 3 steps to convert mixed numbers to improper fractions:
Multiply the whole number by the denominator
Add the answer from Step 1 to the numerator
Write answer from Step 2 over the denominator
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- Drive 50 miles per hour between two cities that are 200 miles apart. (200/5)
- Bicycle 30 miles at 7.5 miles per hour. (30/7.5)