d) \( \log _{2} 0,125= \)

A gardener has 440 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. What dimensions would guarantee that the garden has the greatest possible area? Round all answers to the nearest whole number. a. Shorter side: b. Longer side: c. Greatest possible area:

W 17) Find the vertex for \( y=x^{2}+1 \). Use \( \left(\frac{-b}{2 a}, \frac{-\left(b^{2}-4 a c\right)}{4 a}\right) \) from the quadratic formula \( x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} \). \( (0,-1) \) \( (0,0) \) \( (0,1) \) \( (1,0) \)

Find the slope of the line that passes through \( (7,9) \) and \( (4,11) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Follow the seven step strategy to graph the following rational function. \( f(\mathrm{x})=\frac{6 \mathrm{x}}{\mathrm{x}-3} \) Plot points between and beyond each x -intercept and vertical asymptote. Find the value of the function at the given value of x . x \( \mathrm{f}(\mathrm{x})=\frac{6 \mathrm{x}}{\mathrm{x}-3} \) (Simplify your answer. Type an integer or a simplified fraction.)

13. \( \frac{2^{7}}{2^{5}} \)