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.