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:
D!
Step-by-step explanation:
its pretty hard to explain but let me put it like this- it crosses through (0,0) and it mirrors itself in the 1st and 3rd quadrants
When you are checking your answers, your formula should read out as 9(2.222) - 8 = 12, which is simply filing in the x value that you calculated (it comes out to 11.998 which is correct). You wrote it out as 9(2.22) - 8 = -6, which is why your checking process was incorrect
Answer:
The scatter plot is attached.
Step-by-step explanation:
In a scatter plot, we graph the independent variable on the x-axis and the dependent variable on the y-axis.
In this case, age is independent and weight is dependent.
This means the points we plot are:
(7, 50); (7, 60); (8, 65); (8, 70); (9, 70); (9, 80); (10, 75); and (10, 90).
