A baker is making sugar cookies for a local bakery. For one large batch of cookies, she needs 6 eggs and 4 cups of sugar. 1. Write a ratio statement to represent the eggs and sugar needed for 1 batch.
2. How much of each ingredient does she need for 5 batches? Write an equivalent ratio to represent this situation.
3. How much of each ingredient does she need for ½ of a batch? Write an equivalent ratio to represent this situation.
4. How much of each ingredient does she need for ¼ of a batch? Write an equivalent ratio to represent this situation.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 9 + 12x + 4x^2