Simplify the rational expression. State any excluded values. 7x-14/x-2
2 answers:
well, the only exclusion I can see is that x ≠ 2, because if "x" ever becomes 2, the denominator goes to 0 and the fraction goes poof.
Answer:
the simplified expression = 7
and the exclude value =2.
Step-by-step explanation:
The rational expression is
The rational function is undefined id denominator is zero.
Therefore, the excluded value is
x - 2 =0
x = 2
Now, we simplify the expression
Factor out GCF from numerator. The GCF is 7
Now, cancel out the common term in numerator and denominator
Therefore, the simplified expression is 7 and the exclude value is 2.
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Answer:
Tina would save the same amount using either option after 20 months.
With either option, Tina would save $700.
Step-by-step explanation:
This problem can be modeled by a first order equation:
Where Tina's saved money after n months is:
S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.
The first option is to put $500 away initially and save $10 every month, so:
The second option is to put $100 away initially and save $30 every month, so:
After how many months would Tina save the same amount using either option?
It will happen at the month n in which , so:
500 + 10n = 100 + 30n
500 - 100 = 30 - 10n
400 = 20n
20n = 400
n = 20.
Tina would save the same amount using either option after 20 months.
How much would she save with either option?
We can choose or
, since they are equal
With either option, Tina would save $700.