Solve the equation for the variable using a graphing calculator. If the answer is a fraction, write it in reduced form. Do not convert to decimal.
5x+3+3=2x+4
Answer: x=□
Find the total length of the 3 pipe pieces, the total kerf loss, and the remaining pipe length given a 62 3/4" pipe and a 1/8" kerf. Total length of pipe pieces: 3×(1383")
Total kerf loss: 2×81"
Remaining pipe length: 6243"−(3×1383")−(2×81")
Two pools are being filled at different rates. Find the time and amount of water when they have the same amount, given initial amounts and fill rates of 923 and 1300 liters, and 35.75 and 21.25 liters per minute, respectively.
a. Probability that a consumer who dislikes Crunchicles is 18-24 years old: 142 b. Probability that a randomly selected consumer dislikes Crunchicles: 30014 c. Probability that a randomly selected consumer is 35-55 years old or likes Crunchicles: 3003+38 d. Probability that a 70-year-old consumer likes Crunchicles: 17220
Determine if statement is true or false: If function is positive at x=a, then its derivative is also positive at x=a. Choose correct answer: A) True, sign of rate of change matches sign of value. B) True, derivatives of increasing functions are positive. C) False, sign of rate of change is opposite sign of value. D) False, derivative gives rate of change, not value.