Modify the following equation so that is in quadratic form. Determine the values for a, b, and c. Show your work and explain the steps you used to solve.
2x = 3x2 - 4
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On a string instrument, the length of a string varies inversely as the frequency of its vibrations. an 11-inch string has a frequency of 400 cylces per second. find the frequency of a 10-icnch string.

The ratio of the ages (in years) of three children is 2: 4: 5. the sum of their ages is 33. what is the age of each child?

The cost varies directly with the number of tickets purchased. it costs $145 for 10 people to attend a concert. a. what is the constant of proportionality (k)? b. write the direct variation equation. c. home much does it cost for 8 people? d. graph this situation. be sure to label each axis and give the graph a title.