To find the domain of a graph observe the intervals of x that the line touches, and make an inequality of it. Same for the range but it's for the intervals of y. If the graph goes forever, then include "infinity" on the inequality

7 0

3 years ago

If three times a number added to 8 is divided by the number plus 7, the result is four thirds. Find the number.

Marina86 [1]

9514 1404 393

Answer:

4/5

Step-by-step explanation:

The wording is ambiguous, as it often is when math expressions are described in English. We assume you intend ...

$\dfrac{3n+8}{n+7}=\dfrac{4}{3}\\\\3(3n+8)=4(n+7)\qquad\text{multiply by $3(n+7)$}\\\\9n+24=4n+28\qquad\text{eliminate parentheses}\\\\5n=4\qquad\text{subtract $4n+24$}\\\\\boxed{n=\dfrac{4}{5}}\qquad\text{divide by 5}$

The number is 4/5.

5 0

3 years ago