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: 13.722 km ; or, write as: 13 13/18 km .
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Explanation:
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Area = Length * width ;
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or, write as: A = L * w ;
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Given: A = 247 km² ;
L = 18 km ;
w = "y" ;
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Find: "y"
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A = L * w ;
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Plug in our values:
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247 km² = 18 km * "y" ; solve for "y" (in units of "km") ;
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18 y = 247 ;
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Divide each side of the equation by "18"; to isolate "y" on one side of the equation; and to solve for "y" :
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18 y / 18 = 247 / 18 ;
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to get:
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y = 13.7222222222222222...... km ; round to: 13.722 km
or; y = 13 13/18 km .
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Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m = 
= - 
, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = - 
+ c ⇒ c = 4 + = 
y = - x + ← equation of line
Deposit: = $600 on 1st April
Futher Depost = $200 on1st July
Interest rate = 2.60% per annum
Compounded = quarterly
Answer:
C) f(x) increases by 900%
Step-by-step explanation:
The rate of change is
f(4) - f(3)
---------------
4-3
f(4) = 9*4 = 36
f(3) = 9*3 = 27
36 -27
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4-3
9
-----
1
The rate of change is 9
To change to a percent, multiply by 100%
9*100% = 900%
