Consider the function [tex]f(x)=\left\{\begin{array}{ll}x^2-5 x & \text { if } x\ \textless \ 3 \\ 7 x-4 & \text { if } x \geq 3\end{array}\right.[/tex].
Evaluate [tex]\lim _{x \rightarrow 3^{-}} f(x)[/tex] and [tex]\lim _{x \rightarrow 3^{+}} f(x)[/tex].
A. [tex]\lim _{x \rightarrow 3^{-}} f(x)=-6[/tex]
[tex]\lim _{x \rightarrow 3^{+}} f(x)=-6[/tex]
B. [tex]\lim _{x \rightarrow 3^{-}} f(x)=-6[/tex]
[tex]\lim _{x \rightarrow 3^{+}} f(x)=17[/tex]
C. [tex]\lim _{x \rightarrow 3^{-}} f(x)=17[/tex]
[tex]\lim _{x \rightarrow 3^{+}} f(x)=-6[/tex]
D. [tex]\lim _{x \rightarrow 3^{-}} f(x)=17[/tex]
[tex]\lim _{x \rightarrow 3^{+}} f(x)=17[/tex]
Answer (3)
There should be 960 men there if the ratio of women to men is 5:4 and there are 1200 women. Set up a proportion to solve this word problem, cross multiply to get your answer.
so 5x = 4800 divide both sides by 5 x= 960 (x represent the men)
there are 960 men ;
There are 960 men in the theater when the ratio of women to men is 5 to 4, and there are 1200 women. We set up a proportion to solve for the number of men. Cross-multiplying and solving gives us the total number of men as 960.
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