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:
Thank you Have a good day
Answer:
<u>8 inches of wire can be bought for 36 cents.</u>
<u>8 inches of wire can be bought for 36 cents.Step-by-step explanation:</u>
if 16 inches of wire cost 36 cents, just divide 64 by 2 (which gives you 32) so now that you divided 64 by 2, divide 16 by 2 (which is 8)
Answer:
All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters
Step-by-step explanation:
Let
x -----> values for the center thickness of the lens
we know that
The absolute value that represent this problem is
Solve the absolute value
First case (positive)
Adds 5,000 both sides
Second case (negative)
Multiply by -1 both sides
Adds 5,000 both sides
therefore
The extreme acceptable values for the center thickness of the lens is the interval [4,999.85,5,000.15]
All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters
Start by simplifying by dividing both numerator and denominator ;
21/11
=1 10/11
