Mary earns $16 an hour plus $20 an hour for every hour of overtime. overtime hours are any hours more than 30 hours for the week.
part a: create an equation that shows the amount of money earned, m, for working x hours in a week when there is no overtime.
part b: create an equation that shows the number of wages earned, t, for working y hours of overtime. hint: remember to include in the equation the amount earned from working 30 hours.
part c: mary earned $580 in 1 week. how many hours (regular plus overtime) did she work? show your work.
full explanation

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x

Grading scale 1 has the following weights- (tests- 50% quiz- 25% homework- 15% final exam- 10%). calculate your final average if your performance in the class is as follows-test grades- {88, 84, 90, 75, 70, 81); quiz grades- {88, 67, 90, 90, 45, 99, 76, 98, 100}; homework- 90; final exam- 75

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?