3p² - 2p - 5 = 0
3p² + 3p - 5p - 5 = 0
3p(p + 1) -5(p + 1) = 0
(3p - 5)(p + 1) = 0
p = 5/3 or -1
Hope this helps!
Answer:
oof that's gotta suck bro
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.
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.
<h3>What is a cylinder?</h3>
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,
The volume of the cylinder = (π/4)×(D²) × H
= (π/4)×(11)² × 14
= 1330.5 cm³
Hence, the volume of the cylinder is 1330.5cm³.
Learn more about Cylinder:
brainly.com/question/12248187
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