Answer: (D) <em>bottom right graph</em>
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where
- (h, k) is the vertex
- |a| is the vertical stretch
- sign of "a" determines the direction of the parabola
Given g(x) = (x - 3)² - 5
- vertex (h, k) = (3, -5)
- vertical stretch |a| = 1
- sign of "a" is positive so parabola points up
The only graph that satisfies all of these conditions is the bottom right.
Answer: (C)
Step-by-step explanation:
Looking at the diagram the area occurring continuously over a period of time is the constant point which ranges from -4 to -2 making the answer C

so... notice the example there, with 8
so.. you tell us, what is the relationship then?
Hi,
So we have g(x) = 4√(x). We're looking for g(45). Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.
Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).
-Hope this helps!
Answer:
First, 3 people divide $30, then each one of them pays:
$30/3 = $10.
Each one of them gets $1 in refound.
Then at the moment, each one of them paid $9, and there are 3 friends, so the total amount is 3*$9 = $27.
We also know that the cashier keeps $2, but these $2 must come from the $27 that the friends paid.
Then we will have $27 = $25 + $2.
This means that the total cost was $25, and the cashier kept $2 as a tip.
Now, in your problem, you add the $2 that the cashier kept to the $27 that the friends paid. While those $2 actually are already counted in the $27 that the friends paid.