Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/4 an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.

What is x3+3x2−16x−48 divided by x−1?

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.

What is the slope of the line segment pq?