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.
Answer:
The discount was A) $ 24.51 and B) 14.5% of the value.
Step-by-step explanation:
Since a department store offered a 10% discount on all humidifiers, and they also stated that the first 50 customers would receive an additional 5% discount off the sale price, if I purchase a humidifier that sells for $ 169 and I are among the first 50 customers, to determine what will my total discount be (a) in dollar amount and (b) in percent, the following calculation must be performed:
100 - 10 = 90
100 - 5 = 95
(169 x 0.9) x 0.95 = X
152.1 x 0.95 = X
144.49 = X
169 = 100
144.49 = X
144.49 x 100/169 = X
85.5 = X
Therefore, the discount was A) $ 24.51 and B) 14.5% of the value.
No - Y would equal -1.
-80y=80
Divid both sides by -80
y = -1
For this case we have the following inequality:
From here, we define the variable x.
x: number of minutes remaining to finish the race.
From here, we clear the value of x.
We have then:
Therefore, Samuel has less than 22.5 minutes to finish the race in the estimated time.
Answer:
x < 22.5; Sam has fewer than 22.5 minutes left to finish running.
Answer:
Step-by-step explanation:
6x - 17 = 3x + 7
3x = 24
x = 8
