Simplify. x+5/x^2+6x+5
2 answers:
Answer:
The correct option is 2.
Step-by-step explanation:
The given rational expression is
Factorize the denominator.
The middle term can be written as 5x+x.
Cancel out the common factors.
The simplified form of the given expression is . The factors of the denominator are (x+5) and (x+1), it means at x=-5 and x=-1, the value of denominator is zero.
The given expression is not defined for x=-1 and x=-5.
Therefore the correct option is 2.
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The correct answer is C. $ 9.38
Explanation:
The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:
1. Write the amounts given
of
2. Divide the number by the denominator (bottom number) and then multiply by the numerator
÷
This means the discount was $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)
1. Write the values
66 = 100 (66 represents the total or 100%)
x = 7 (7% is the value you want to know and the x represents the value is not known)
2. Cross multiply
x 100 = 462
3. Find x
x = 462 ÷ 100
x = 4. 62 ( value of taxes)
Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38