Question 1 ( 6 points) 1. A college official is purchasing some spirit gear to give to campus visitors. She can purchase Yeti mugs with the college logo engraved on them for \( \$ 38 \) per mug for the first 24 mugs. For a purchase of 25 or more mugs, the price per mug is reduced by \( \$ 8.00 \) for all the mugs over 24 . a. Write a piecewise function to represent the cost, \( C(x) \) to the college when \( x \) mugs are purchased. ( 6 points)

Audrey has \( \$ 440 \) to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. - She buys a new bicycle for \( \$ 259.52 \). - She buys 2 bicycle reflectors for \( \$ 3.07 \) each and a pair of bike gloves for \( \$ 29.12 \). - She plans to spend some or all of the money she has left to buy new biking outfits for \( \$ 72.61 \) each. Write and solve an inequality which can be used to determine \( o \), the number of outfits Audrey can purchase while staying within her budget.

\( T=2 \pi \sqrt{\frac{L}{32}} \) Where \( L \) is the length, in feet, of the pendulum, and \( \pi \) is approximately \( \frac{22}{7} \). How long must the pendulum be of one complete cycle takes 8 seconds? Answer as a fraction or round to at least 2 decimal places.

Tentukan kecerunan dan pintasan-y bagi garis lurus berikut (a) \( \quad y=4 x+6 \)

Find the zeros of the following quadratic function using the square ro method. What are the \( x \)-intercepts of the graph of the function? \( F(x)=(2 x+9)^{2}-80 \)

Find \( (8 x+9)+(-6 x-2) \)