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.
To find slope between two given points:
(y2-y1)/(x2-x1)
Find the difference between the first two points
12-9.5/2-1 = 2.5/1 = 2.5
14.5-12/3-2 = 2.5/1 = 2.5
17-14.5/4-3 = 2.5/1 = 2.5
The rate of change between each point is 2.5
Hello from MrBillDoesMath!
Answer:
(x-8)^(1/3) +2
Discussion:
To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8 and solve for y.
y = (x-2)^3 +8 => original function. swap x and y values
x = (y-2)^3 + 8 => subtract 8 from both sides
x - 8 = (y -2)^3 => take cube root of both sides
(x-8)^(1/3) = y - 2 => add 2 to both sides
(x-8)^(1/3) +2 = y => y is the inverse
Thank you,
MrB
No Jane is not correct she has 25 cents where john has 30 cents
The one u clicked one is the answer ?
