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Problem 37

Write an equation of the line satisfying the following conditions. If possible, write your answer in the form \(y=m x+b\). Horizontal and passing through the point \((1.5,-4)\)

Problem 37

Evaluate each expression without using a calculator. $$ 8^{-2 / 3} $$

Problem 38

Solve each equation by factoring or the Quadratic Formula, as appropriate. $$ x^{2}-3 x=54 $$

Problem 38

Identify each function as a polynomial, a rational function, an exponential function, a piecewise linear function, or none of these. (Do not graph them; just identify their types.) $$ f(x)=\left\\{\begin{array}{ll} 3 x-1 & \text { if } x \geq 2 \\ 1-x & \text { if } x<2 \end{array}\right. $$

Problem 38

Write an equation of the line satisfying the following conditions. If possible, write your answer in the form \(y=m x+b\). Horizontal and passing through the point \(\left(\frac{1}{2}, \frac{3}{4}\right)\)

Problem 38

Evaluate each expression without using a calculator. $$ 16^{-3 / 4} $$

Problem 39

Solve each equation by factoring or the Quadratic Formula, as appropriate. $$ 2 x^{2}+40=18 x $$

Problem 39

Identify each function as a polynomial, a rational function, an exponential function, a piecewise linear function, or none of these. (Do not graph them; just identify their types.) $$ f(x)=\frac{1}{x+2} $$

Problem 39

Write an equation of the line satisfying the following conditions. If possible, write your answer in the form \(y=m x+b\). Vertical and passing through the point \((1.5,-4)\)

Problem 40

Solve each equation by factoring or the Quadratic Formula, as appropriate. $$ 3 x^{2}+18=15 x $$

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