91Ó°ÊÓ

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

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$0.01 x+3.1=2.03 x-2.96$$

Find the slope-intercept form of the equation of the line satisfying the given conditions. Do not use a calculator. $$\begin{array}{c|c}x & y \\\\\hline-7 & -44 \\\\-6 & -36 \\\\-5 & -28 \\\\-4 & -20\end{array}$$

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

$$\begin{aligned} &\text {Solve each problem analytically, and support your solution}\\\ &\text {graphically.} \end{aligned}$$ Saline Solution Mixture How much water should be added to 8 milliliters of \(6 \%\) saline solution to reduce the concentration to \(4 \%\) saline?

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$0.04 x+2.1=0.02 x+1.92$$

Using her calculator, a student found the decimal 1.414213562 when she evaluated \(\sqrt{2} .\) Is this decimal the exact value of \(\sqrt{2}\) or just an approximation of \(\sqrt{2} ?\) Should she write \(\sqrt{2}=1.414213562\) or \(\sqrt{2} \approx 1.414213562 ?\)

Find the slope-intercept form of the equation of the line satisfying the given conditions. Do not use a calculator. $$\begin{array}{c|c}x & y \\\\\hline-2.4 & 5.2 \\\1.3 & -24.4 \\\1.75 & -28 \\\2.98 & -37.84\end{array}$$

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

$$\begin{aligned} &\text {Solve each problem analytically, and support your solution}\\\ &\text {graphically.} \end{aligned}$$ Acid Mixture How much water should be added to 20 liters of an \(18 \%\) acid solution to reduce the concentration to \(15 \%\) acid?