Prove, using the second derivative, that the general quadratic y = ax^2+bx+c, is:

a) always convex when a>0

b) always concave when a <0

The width, w, of a rectangular swimming pool 9r + 1. The area A of the pool is 90r^6+28r^5+2r^ (4) + 45r^3+5r^2. What is an expression for the length of the pool?

A precinct reported that 313 people had voted in an election. The number of Republican voters was 8 more than two-thirds the number of Democrats. How many Republicans and how many Democrats voted in that precinct?

9 Minutes less than France time

I'm If Linda age is decreased by 36, the result is twice Linda's age. how old is linda?

The radius r of a circle can be written as a function of the area A with the following equation: r = sqrt (A/pi) What is the domain of this function? Explain why it makes sense in this context.

The table below contains values for a linear relationship. One value from the table is missing. x - 3 - 1 0 2 4 7 y 7 3 1 ___ - 7 - 13 What is the missing value? The missing value is .

During unusually cold weather, the temperature is Miami beach was 10 C. This was 12 degrees more than in Tallahassee. What is the temperature in Tallahassee?

The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%.

Nicola claims that the product of any fraction and 1/6 will always be less than 1/6.

Are the number of units taken by students in a class discrete or continuous data?