Why do we use the quadratic formula as opposed to trying to solve using factoring

4cos (3x-1) csc^2 (x) - 11cos (3x-1) = 0

Convert 56 mm to inches. A. 2.184 in. B. 1.174 in. C. 2.174 in. D. 1.184 in.

A charity organization had to sell 18 tickets to their fundraiser just to cover unnecessary production costs. They sold each ticket for $45.

Which is better? 30 ounces for $2.49 or 40 ounces for 3.32

Marcus claims that fractions with denominators 1 through 10 follow a pattern when they are converted to decimal, then all fractions with that same denominator will also convert to a repeating decimal. Is Marcus correct? Explain.

Find the value of g when 5g+15 equals 2g+21. Use pencil and paper. Explain how you can check the value you found for g is correct. If your check does not work, does that mean your results are incorrect? Explain

Tennis balls are packed into a square box 23cm on one side. The tennis balls can be touching, but they can't be compressed. (1in=2.54cm, Height of a tennis ball is 2.6 in). The remaining space is filled with packing beads.

Which phrase best describes a theorem in an axiomatic system? A.) the accepted meaning of a term B.) an assumption made with little supporting evidence C.) an accepted fact that cannot be proven D.) a statement proven to be true using logic E.

At the bake sale, Taylor sold 4 cookies for 3$ each and 24 muffins for 2$ each. What was the total amount. In dollars, that Taylor received from these sale?

What is the average rate of change of the function g (x) = 3 (2^x) - 6 over the interval [0,3]?