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Given information
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Area = 3x² + 14x + 8
Length = x + 4
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Formula
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Area = Length x Width
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Find Width
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3x² + 14x + 8 = (x + 4) x width
width = (3x² + 14x + 8) ÷ (x + 4)
width = (x+4)(3x+2) ÷ (x + 4)
width = 3x + 2
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Answer: The width is 3x + 2 (Answer C)
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Let the weightage of Ease of Use be x
Ease of Use = x
<span>Compatibility is 5 times more than ease of use:
</span>Compatibility = 5x
<span>Reputation is 3 times more important than compatibility:
</span>Reputation = 3(5x)
Reputation = 15x
<span>Cost is 2 times more important than reputation:
</span>Cost = 2(15x)
Cost = 30x
So the weightage are:
Ease of Use : 1
Compatibility : 5
Reputation :15
Cost : 30
Let’s first find the angle y
Angle y = 180-(140+10)(angle sum property)
Angle y = 180-150
Angle y = 30 degrees
Angle x = 180- 110 ( linear pair )
Angle x = 70
Angle z = 180-(70+90)( angle sum property)
Angle z = 180-160
Angle z = 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
2 numbers can be represented by the variables x and y.
Set up a system of equations:
The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.
In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:
Divide both sides by 2 to get x by itself:
One of the numbers will be 17.
Plug the value into one of the equations:
Add y to both sides:
Subtract both sides by 1 to get y by itself:
The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.
