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3 years ago

11

x+4, -x+64. Use the expressions that represent the length and width of the game board to write an equation that models the area

of the figure. Let y represent the area, and write your answer in the form y=ax²+bx+c, where a,b, and c are real numbers.

1 answer:

AfilCa [17]3 years ago

8 0

Y=(x+4)(-x+64)
y=-x^2+68

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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

B ={1,4}

<u>Now </u><u>,</u>

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

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Answer:

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Step-by-step explanation:

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Math question down below

kramer

X + 4/5 = 11
x = 11 - 4/5
x = 55/5 - 4/5
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or u can do it this way..
x + 4/5 = 11.....multiply everything by common denominator of 5
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5x = 55 - 4
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x = 51/5 or 10 1/5

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