Rewrite it into vertex form with completing the square:
f(x) = x^2 - x + 2 = (x^2 - x) + 2 = (x^2 - x + 1/4) + 2 + 1/4 = (x - 1/2)^2 + 9/4;
So the vertex is (1/2, 9/4).
Answer: Chad made 5% more shots than his prediction. He made 90% of his shots.
Step-by-step explanation:
Answer:
y= -3.5x +10
Step-by-step explanation:
The first thing to do in this equation is solve for m, the slope of the line.
Because we are given that the y-intercept is 10, we know that the graph intercepts at the point (0,10).
We are also given the point (5,-7.5).
Using the two points we can solve for the slope!
To solve for the slope use this formula:
(-7.5 -10) / (5 -0)
= -3.5
So our slope, m = -3.5
The other missing value is b, but is very easy to find.
In this example, b is equal to the y-intercept, so b=10.
Now we can plug in the values we found into the original equation
y =mx+b
y= -3.5x +10
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequenceby 33 gives the next term. In other words, an=a1⋅rn−1an=a1⋅rn-1.