At a college, the cost of tuition increased by 3%. Let be the former cost of tuition. Use the expression z+0.03 for the new cost of tuition. Write an equivalent expression by combining like terms. What does your equivalent expression tell you about how to find the new cost of tuition?

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Ответ:

kidzay

01.01.2020

Mathematics

To find the expression, we have to sum both functions.

We know that $f(x) = \frac{x-16}{x^{2}+6x-40}$ and $g(x)=\frac{1}{x+10}$

So,

$f(x) + g(x) = \frac{x-16}{x^{2}+6x-40}+\frac{1}{x+10}\\f(x)+g(x)=\frac{(x-16)(x+10)+(x^{2}+6x-40)}{(x^{2}+6x-40)(x+10)}\\f(x)+g(x)=\frac{(x-16)(x+10)+(x+10)(x-4)}{(x+10)(x-4)(x+10)}\\f(x)+g(x)=\frac{(x-16)+(x-4)}{(x-4)(x+10)}$

Therefore, the sum expression would be:

$f(x) + g(x) = \frac{(x-16)+(x-4)}{(x-4)(x+10)}$

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At a​ college, the cost of tuition increased by 3​%. Let be the former cost of tuition. Use the expression z+0.03 for the new cost of tuition. Write an equivalent expression by combining like terms. What does your equivalent expression tell you about how to find the new cost of​ tuition?