91Ó°ÊÓ

Sketch the graph of \(f\) by hand. $$f(x)=-4$$

Find the slope-intercept form of the equation of the line satisfying the given conditions. Do not use a calculator. Through \((0,5)\) and \((10,0)\)

$$\begin{aligned} &\text {Solve each problem analytically, and support your solution}\\\ &\text {graphically.} \end{aligned}$$ Alcohol Mixture How many gallons of pure alcohol should be mixed with 20 gallons of a \(15 \%\) alcohol solution to obtain a mixture that is \(25 \%\) alcohol?

Graph each set of numbers on a number line. $$\left\\{-0.5,0.75, \frac{5}{3}, 3.5\right\\}$$

Sketch the graph of \(f\) by hand. $$f(x)=\frac{1}{2} x$$

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$2 x-5=x+7$$

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$9 x-17=2 x+4$$

Sketch the graph of \(f\) by hand. $$f(x)=-\frac{2}{3} x$$

Find the slope-intercept form of the equation of the line satisfying the given conditions. Do not use a calculator. Through \((0,-8)\) and \((4,0)\)

$$\begin{aligned} &\text {Solve each problem analytically, and support your solution}\\\ &\text {graphically.} \end{aligned}$$ A chemist wishes to strengthen a mixture from \(10 \%\) alcohol to \(30 \%\) alcohol. How much pure elcohol should be added to 7 liters of the \(10 \%\) mixture?