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Bingel [31]
2 years ago
14

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

What is the common factor that is missing from both sets of parentheses? 6x + 11 6x − 11 6x2 + 11 6x2 − 11
please help me
Mathematics
1 answer:
ipn [44]2 years ago
3 0
Factor by grouping is easier to visualize if we factor each group:
<span>24x3 − 54x2 + 44x − 99
= 24x3 + 44x − 54x2 − 99 
=4x(24x^3/(4x)+44x/(4x)) - 9(54x^2/9+99/9)
=4x(6x^2+11) - 9(6x^2+11)
=(4x-9)(6x^2+11)</span>
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Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft 2. Find
Radda [10]

Answer: The base is 18.3ft

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)

Step-by-step explanation:

Given;

Area = 280ft^2

height = 5x

Base = 6x

The area of the parallelogram A can be written as;

Area = base × height

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Substituting the values of Area, base and height.

280 = 5x × 6x

280 = 30x^2

x^2 = 280/30

x = √(280/30)

Since the base = 6x ;

Substituting the value of x.

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Base = 18.3ft

The base is 18.3ft

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3 years ago
For which equation does it make the most sense to solve by completing the square?
daser333 [38]

The equation for which square method is possible is x²-8=1

Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

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Rewriting it as  x²+20x-52

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.

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This equation can be rearranged as 5x²+3x-9=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.

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This binomial expression is a perfect square and can be done by the square method.

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3 years ago
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nadya68 [22]

Answer:

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Step-by-step explanation:

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To find the slope, you will need to use the first equation. In this case the equation will look like this: \frac{(-2)-6}{3-(-2)}=-\frac{8}{5}

Then use the second equation, plug in the numbers, and you will get B as your answer

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