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pogonyaev
3 years ago
9

Factor the expression.

Mathematics
1 answer:
nalin [4]3 years ago
8 0
6x^2+14x+4
First factor out all numerical factors (=2 in this case)
2(3x^2+7x+2)
look for m,n such that m*n=3*2, m+n=7 => m=6, n=1
2(3x^2+6x  + 1x+2)
Factor 3x^2+6x into 3x(x+2)
2( 3x(x+2)+1(x+2) )
factor out common factor (x+2)
2(x+2)(3x+1)
=>
6x^2+14x+4=2(x+2)(3x+1)
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Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions
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Answer:

Kindly check explanation

Step-by-step explanation:

Given the question :

Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder?

Since the Area of the potholder = 80 sq inch

And the dimension of the potholder ; length and width are integers ; Hence, possible dimensions could be ;

Area = length × width

80 = length × width

(80, 1), (40, 2), (20, 4), (10, 8), (16, 5)

Potholders are fabrics sewn from the purpose of being used to handle pots and other kitchen equipments.

Usually the dimension are usually close, hence, the most sensible dimension a potholder with an area of 80 sq inch could have is 8 by 10 or vice-versa.

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3 years ago
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12
olga_2 [115]

Answer:

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A = lw

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So, the area of the kitchen is 108 sq ft

Find the area of the square tiles, using the same formula:

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Answer:

<h2>$1344.9</h2>

Step-by-step explanation:

This problem can be solved using the compound interest formula

A= P(1+r)^t

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Substituting our values into the expression we have

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To the nearest cent the in 13 years the CD will be worth $1344.9

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3 years ago
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