Answer:
No, the maximum height that the balloon can reach is 9ft.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.
Vertex form: f (x) = a(x - h) 2 + k
Where:
- (h, k) is the vertex of the parabola-
- h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).
- k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).
In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.
So, the maximum height that the balloon can reach is k=9ft.
9 ∠ 12
The balloon will not hit the ceiling 12 ft above the pool.
Feel free to ask for more if needed or if you did not understand something.
Do you have a photo of the picture?
Answer: 1 3/4 × 1 1/2
Step-by-step explanation:
Since Harry needs 1 3/4 cups of flour for one batch of cookies, but he wants to make 1 1/2 batches, the equation that can be used to find how many cups of flour Harry will need will be:
= (1 3/4 / 1) × 1 1/2
= 1 3/4 × 1 1/2
Therefore, to make 1 1/2 batches, the cups of flour needed will be:
= 1 3/4 × 1 1/2
= 7/4 × 3/2
= 21/8
= 2 5/8 cups of flours.
