Rewrite the following quadratic function in vertex form.

y = - x^2 + 6x + 5

Use one of the formulas below to find the area under one arch of the cycloid x = t - sin (t), y = 1 - cos (t). a = c x dy = - c y dx = 1 2 c x dy - y

The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.

You work for a packaging company. The total weight of a container and its contents is 48 pounds. The contents of the container account for 13/16 of the total weight.

Write a function rule to represent the situation the total cost C for p pounds of salami if each pound costs $5.72 Write a function rule using C and p as variables. (Type an equation.)

What multiple of 4 is greater than 40 but less than 100?

Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product of her brothers age is 95. a. if x represents trinas age, write an equation to describe the product of her brothers ages.

When solving a problem involving money, what can a negative number represent?

What is the pennys place in a number?

Give a counterexample for each conclusion: If x is a prime number, then x + 1 is not a prime number

What number is larger than 0.68