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

Tina made a 9-inch apple pie, which she cut into 8 slices. Tina and 2 of her friends each ate a piece of pie. what is the approximate area of the remaining pie? A. 18 in^2 B. 24 in^2 C. 40 in ^2 D. 159 in^2

find the area of a triangle that has an inscribed circle with a circumference of 8pi cm, and which has a perimeter of 18cm.

A car is traveling at a speed of 108 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 15 seconds? Do not round your answers.

Which repeating decimal is equal in value to the fraction below? 8/9 a) 0.7777777 b) 0.8888888 c) 0.5555555

One side of the triangle is 5 meters longer than the second side. The third side is four times. If the perimeter of the triangle is 65 meters, how long is the second side

Determine the direction that is parábola opens: y=4x^2+8x+2

A small soda costs $0.45 and a large soda costs $0.65 35 sodas were sold for a total of $18.55. How many of each size soda were sold

Karina ran 6 laps around a circular track with a radius of 20m how far did she run

Testing for mean equality between the salary and compa-ratio values for each employee in our case study example would use the t-test assuming equal variance t-test not assuming equal variance paired t-test we cannot compare these two measures.

city has 3 new houses for every 7 old houses. If there are 27 new houses in the city, how many old houses are there?