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Problem 54

Find the function values. $$ h(x)=5 x-1 $$ a) \(h(4)\) b) \(h(8)\) c) \(h(-3)\) d) \(h(-4)\) e) \(h(a-1)\) I) \(h(a)+3\)

Problem 59

For each pair of functions fand g, determine the domain of \(f / g\). $$\begin{aligned} &f(x)=\frac{2 x}{x+1}\\\ &g(x)=2 x+5 \end{aligned}$$

Problem 67

Find an equation of the line containing each pair of points. Write your final answer as a linear function in slope–intercept form. $$(12, 32) \text { and } (13, 72)$$

Problem 67

Solve each equation graphically. Then check your answer by solving the same equation algebraically. $$ 2 x+5=1 $$

Problem 68

Solve each equation graphically. Then check your answer by solving the same equation algebraically. $$ 3 x+7=4 $$

Problem 69

If \(f(x)=0.1 x-0.5,\) for what input is the output \(-3 ?\)

Problem 71

Find an equation of the line containing each pair of points. Write your final answer as a linear function in slope–intercept form. $$(2, -5) \text { and } (0, -1)$$

Problem 71

Solve. One angle of a triangle measures twice the second angle. The third angle measures three times the second angle. Find the measures of the angles.

Problem 71

The function \(A\) described by \(A(s)=\frac{\sqrt{3}}{4} s^{2}\) gives the area of an equilateral triangle with side \(s\) (EQUILATERAL TRIANGLE CAN'T COPY) Find the area when a side measures \(4 \mathrm{cm} .\)

Problem 78

Skilng Rate. A cross-country skier reaches the \(3-\mathrm{km}\) mark of a race in \(15 \mathrm{min}\) and the \(12-\mathrm{km}\) mark 45 min later. Assuming a constant rate, find the speed of the skier.

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