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

Determine the value of x which satisfies the following equation. ln (4x+1) = 6

Identifying Relationships between Lines which statements are true? Select three options. Planes X and Y intersect at a right angle. Ai and Elie in plane X and do not intersect. S lies in plane Y. and are narallel

Which of the following statements best describes the spread of Islam during the Arab conquests? A. Islam spread only within the lands conquered by Arabs. B. Everyone in conquered lands was forced to convert to Islam. C.

Which ratios form a proportion? 3/15, 12/55 8/24, 12/35 5/18, 25/90 4/11, 16/25 What ratio forms a proportion with 9/15? 6/10 16/21 36/50 45/70

Pedro fills Glass 2/4 full with Orange juice. Write a fracción with a denominador of 6 that isgreater than 2/4

In the california state lottery, you must select six numbers from fifty-two numbers to win the big prize. the numbers do not have to be in a particular order. what is the probability that you will win the big prize if you buy one ticket?

28*12 what is the answer

A pack of cinnamon scented pencils sells for $9.00 what is the sales tax rate of the total cost of the pencils is $9.72

There are 5 fish in a tank 2 die how many are left

A convex heptagon has interior angels of 125, 155, 95, 135, 120, and 115. What is the measure of the 7th angle?