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Minchanka [31]
4 years ago
15

The function f(x)= - (x+2)^2+16 has been rewritten using the completing-the-square method. The function g(x) =4x^2+16x+24. Which

vertex for each function has a minimum or a maximum? What is the vertex for each function?
Mathematics
1 answer:
stealth61 [152]4 years ago
8 0
F(x) = -(x + 2)^2 + 16
This functions vertex is a maximum and is at (-2,16)

f(x) = 4x^2 + 16x + 24
This functions vertex has a minimum and is at (-2,8)
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Step-by-step explanation:

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6 0
3 years ago
A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
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h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
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Anna11 [10]
This equation has no solution where 'a' and 'b'
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You said                                 2a + 2b = 2a

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As long as b=0, 'a' can be any number.
5 0
3 years ago
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