Answer:
C
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula:
Where (x₁, y₁) and (x₂, y₂) are two, separate points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute them into the slope formula to get:
Subtract:
Hence, our slope is -2.
So, our answer is C.
Answer:
Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:
The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:
Add 1/2 on both sides:
The last step is to switch x and y: