Y - y₁ = m(x - x₁)
y - 32 = 1.5(x - 21)
y - 32 = 1.5(x) - 1.5(21)
y - 32 = 1.5x - 31.5
+ 32 + 32
y = 1.5x + 0.5
Answer:
x = 5
Step-by-step explanation:
32/4 = 8
40/8 = x
x = 5
Hello,
x= number of points for each multiple choice question correct
L= Louann's score
C= Carla's score
Louann got 14 multiple choice questions correct and 24 points for her essay, so:

Carla got 16 multiple choice questions correct and 14 points for her essay, so:

But we know that they got the same score, then:
Answer: Each multiple choice question was 5 points
Step-by-step explanation:
I will do the first one as an example.
To find the inverse of y = f(x), simply switch x and y, then solve for y.
y = 3 + 2 ln x
x = 3 + 2 ln y
x − 3 = 2 ln y
(x − 3) / 2 = ln y
y = e^((x − 3) / 2)
So the inverse function is:
f⁻¹(x) = e^((x − 3) / 2)
The original function told us the amount of water as a function of time.
The inverse function tells us the time as a function of the amount of water.