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Answer: Choice F) 1</h3>
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Explanation:
x^2+8x+7 factors to (x+1)(x+7)
x^2+4x-21 factors to (x-3)(x+7)
Therefore, the numerator (x^2+8x+7)(x-3) updates to (x+1)(x+7)(x-3)
The denominator (x^2+4x-21)(x+1) updates to (x-3)(x+7)(x+1)
We have three pairs of terms that will cancel between the numerator and denominator. The (x+1) terms pair up and cancel out, so do the (x+7) terms and also the (x-3) terms as well. Everything cancels out. The only thing left is 1 because x/x = 1 where x is nonzero. We can have a more complicated expression replace x to get the same basic idea. This is what I mean by "canceling".
1/3+2/5+4/3+3/5=8/3
Steps
A double negative makes a positive.
So, change all double negatives to positives (to simplify it)
1/3 + 2/5 + 1+1/3 + 3/5
What's the least common denominator here?
Yes, it is 15!
Change the fractions to that denominator
5/15 + 6/15 + 1+5/15 + 9/15
change 1+5/15 to 20/15, then add the fractions
Result: 40/15
Divide numerator and denominator both by the greatest common factor:5
8/3
The use of a credit card is spending your banks money.
21=75/100x
2100=75x
X=2100/75=28
2.40/12 = x/16
then that would mean 12x= 2.40(16)
which equals 12x= 38.4, then divide 12 by both sides, getting you 3.2 so the answer is it would cost her $3.20 cents to by 16 lemons
