91影视

Contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. $$\frac{4}{x}=\frac{5}{2 x}+3$$

In all exercises, other than \(\varnothing,\) use interval notation to express solution sets and graph each solution set on a number line. In Exercises \(27-50,\) solve each linear inequality. $$ 3(x-8)-2(10-x)>5(x-1) $$

In Exercises 59鈥�94, solve each absolute value inequality. $$ |x|<5 $$

Solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. $$5 x+9=9(x+1)-4 x$$

The price of a dress is reduced by \(40 \% .\) When the dress still does not sell, it is reduced by 40 \% of the reduced price. If the price of the dress after both reductions is \(\$ 72,\) what was the original price?

In a film, the actor Charles Coburn plays an elderly 鈥渦ncle鈥� character criticized for marrying a woman when he is 3 times her age. He wittily replies, 鈥淎h, but in 20 years time I shall only be twice her age.鈥� How old is the 鈥渦ncle鈥� and the woman?

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ \frac{7+3 i}{5+3 i}=\frac{7}{5} $$

In Exercises \(75-78,\) list the quadrant or quadrants satisfying each condition. $$ \frac{y}{x}<0 $$

The data displayed by the bar graph can be described by the mathematical model $$p=\frac{4 x}{5}+25$$ where \(x\) is the number of years after 1980 and \(p\) is the percentage of U.S. college freshmen who had an average grade of \(A\) in high school. Use this information to solve Exercises \(97-98\) a. According to the formula, in \(2010,\) what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much? b. If trends shown by the formula continue, project when \(57 \%\) of U.S. college freshmen will have had an average grade of \(\mathrm{A}\) in high school.

Solve equation by the method of your choice. $$ 3 x^{2}-27=0 $$