Answer:
Step-by-step explanation:
A volcano on a recently discovered planet rises to a height of 16.871 mi.
1 answer:
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x=the number of months
So the "7x" is the $7 per month, and the "10" is the $10 for each CD being ordered. It can't be more than 100, so the "less than or equal to" sign will be used.
Answer:
12. Option A is correct
13. Option A is correct
14. Option C is correct
15. Option D is correct
16. Option A is correct
Step-by-step explanation:
12) Lowest Common Denominator of
We should find the factors of denominators and then find the LCM of the denominators.Finding LCD is same as finding LCM.
Factors of p^2+7p+10 = p^2 +2p +5p+10 = p(p+2)+5(p+2) = (p+5)(p+2)
Factors of p^2+5p+6 = p^2+2p+3p+6 = p(p+2)+3(p+2) = (p+3) (p+2)
Now, rewriting the above equation with factors and finding the LCM
LCM of (p+5)(p+2) and (p+3)(p+2) = (p+5)(p+3)(p+2)
The LCD is (p+5)(p+3)(p+2).
So, Option A is correct.
13. Divide
by stands for division. The equation can be written as:
Division sign changed into multiplication, we take reciprocal of second term i.e,
So, Option A is correct.
14. Simplify:
Factors of x^2-6x-16= x^2 -8x +2x -16 = x(x-8)+2(x-8) = (x-8)(x+2)
Putting factors in the above equation and changing division sign with multiplication we get,
So, Option C is correct.
15. Simplify
Solving denominator,
Taking LCM of 4 and 2 and subtracting we get
Option D is correct.
16. Simplify:
Making factors of x^2+13x+42= x^2 +6x+7x+42 = x(x+6)+7(x+6) = (x+7)(x+6)
Taking 7 common from numerator and putting factors in denominator we get,
Option A is correct.