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Oksi-84 [34.3K]
3 years ago
14

Divide. Express the quotient in simplest form.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
( \frac{x^2 - x -12}{2x} ) ÷ ( \frac{x^2 - 2x - 8}{4x^2} )

= ( \frac{x^2 - x -12}{2x} ) × ( \frac{4x^2}{x^2 - 2x - 8} )

= \frac{x(x^2 - x -12)}{x^2 - 2x - 8}

= \frac{x(x^2 -4x +3x -12)}{x^2 -4x +2x -8}

= \frac{x[x(x - 4) +3(x - 4)]}{x(x - 4) +2(x - 4)}

= \frac{x(x-4)(x+3)}{(x-4)(x+2)}

= \frac{x(x+3)}{(x+2)}
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Two integers, a and b have different signs. The absolute value of integer that got this description. Then decide if the product
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Since a and b have opposite signs then both the product and quotient will be negative. The absolute value of a · b will be greater than the absolute value of \frac{a}{b}.

Without the absolute value sign, then since both the product and the quotient are negative, a · b < \frac{a}{b}

Answer: the product is less than the quotient

3 0
3 years ago
Solve for x and y 2x+3xi+2y=28+9i
vova2212 [387]
X = 6iy-4y+83-66i/13
y= 14+9i/2-x-3xi/2
5 0
3 years ago
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Lorenzo went to the store with 20$. He bought some cans of soup for 2$ each and a gallon of milk for 3$. He had 1$ left over.
Dominik [7]
2s + 3 = 19
2s = 16
s = 8
He can buy 8 cans of soup.
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3 years ago
How many sales would you make a week? i would make between 3 and 5 sales per week?
svp [43]
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7 0
3 years ago
NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.
sergeinik [125]

Answer:

140

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

3a+b+3=2a+2b+6

Solving, we will get a in terms of b:

3a=2a+b+3,\\a=b+3

Now we can substitute a for (b+3) into our equation:

5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}

Therefore, the length of each side of this polygon is 5(4+3)-2(4)+1=28.

Since the perimeter of the polygon consists of all five sides, the perimeter is:

p=28\cdot 5 =\boxed{140}

6 0
3 years ago
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