In the following exercises, determine whether each ordered pair is a solution to the given inequality. 239. Determine whether each ordered pair is a solution to the inequality y < 3 x + 2 : (a) ( 0 , 3 ) (b) ( − 3 , − 2 ) (c) ( − 2 , 0 ) (d) ( 0 , 0 ) (e) ( − 1 , 4 )
In the following exercises, determine whether each ordered pair is a solution to the given inequality. 239. Determine whether each ordered pair is a solution to the inequality y < 3 x + 2 : (a) ( 0 , 3 ) (b) ( − 3 , − 2 ) (c) ( − 2 , 0 ) (d) ( 0 , 0 ) (e) ( − 1 , 4 )
This exercise should be done using a graphing calculator or computer algebra system.
Plot x3 – 12x + 10 in the appropriate viewing rectangle. How many positive solutions does x3 – 12x + 10 = 0 have?
positive solution(s)
Cassandra is tossing a softball into the air with an underhand motion. The distance of the ball above her hand at any time is given by the formula:h(t)=112t−16t^2 for 0≤t≤7where h(t) is the height of the ball (in feet) and t is the time (in seconds). At what times,t is the ball in her hands? Note: there are 2 different times. The ball is in her hands at seconds. At what time,t is the ball at its maximum height? The ball is at it's max height after seconds. How high, h is the ball at its maximum height? The ball's max height is feet.
As Juan continued his hitting practiceshowing off his abilities, one of the ballsflew over the center field stands and intothe parking lot. “Did you see that shot”, heyelled at the girls. “The ball hung in the airfor at least 10 seconds”, he exclaimed.The formula for this hit is:h(x)=-16x2+83x+4 where h is theheight of the ball and x is the number ofseconds the ball is in the air.A. How can Juan provide proof that thethe ball actually hung in the air for 10seconds?B. How long did the ball hang actuallyhang in the air?
Elementary Algebra: Concepts and Applications (10th Edition)
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