Define the variables being used, then write a system of equations for each of the word problems. Solve the system and make sure answers are reasonable. A baseball coach bought 4 bats and 9 baseballs for $349.50. On another day, he bought 3 bats and a dozen baseballs at the same prices and paid $291. How much did he pay for each bat and each baseball?

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=0

Acircle has a diameter will endpoints of (-2,8) and (6, 4). what is the center of the circle

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.