.Identify the values of a, b, and a that could be used with the quadratic formula to solve the equation. Enter a as a positive Integer value. 9 x2-15-0 a= b= c= 3.Evaluate the discriminant and determine the number and type of solutions to the equation. 3x²-4x+6=0 the discriminant  answer -56

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

2.Identify the values of a, b, and a that could be used with the quadratic formula to solve the equation. Enter a as a positive

Integer value.

9 x2-15-0

a=

b=

c=

3.Evaluate the discriminant and determine the number and type of solutions to the equation.

3x²-4x+6=0

the discriminant  answer -56

 
Choose the correct number and type of solutions.
 
one real solution
 
 
two distinct real solutions
 
 
two distinct nonreal solutions

4.An artist has been commissioned to make a stained glass window in the shape of a regular octagon. The octagon must fit inside an 

18in

 square space. Determine the length of each side of the octagon. Round to the nearest hundredth of an inch.

 

5. Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 6-in squares from each corner. The length of the original piece of cardboard is 12in more than the width. If the volume of the box is 798 in3, determine the dimensions of the original piece of cardboard.

 

 

6.Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 45 mi in clear weather and then encounters a thunderstorm for the last 40 mi. She drives 20 mph slower through the thunderstorm than she does in clear weather. If the total time for the trip is 1.75 h , determine her speed driving in nice weather and her speed driving in thunderstorm.

Barbara drives 
 
 
mph
 in nice weather.
 
 
 

7.Solve the inequality. Graph the solution set, and write the solution set in set-builder notation and interval notation. Write numbers as simplified fractions or integers.

-3y+6>-(y-2)-2y

The solution set in set-builder notation is
 
9.Solve the equation or inequality. Write the solution set to each inequality in interval notation if possible.
a |b|=2 The solution set is
b |b|<2 The solution set is
c |b|>2 The solution set is
 
10.Trent earns scores of 67, 89,  and 72 on three chapter tests for a certain class. His homework grade is 63 and his grade for a class project is 69. The overall average for the course is computed as follows: the average of the three chapter tests makes up 50% of the course grade; homework accounts for 10% of the grade; the project accounts for 20%; and the final exam accounts for 20%.What scores can Trent earn on the final exam to pass the course if he needs a "C" or better? A "C" or better requires an overall score of 70 or better, and 
100 is the highest score that can be earned on the final exam. Assume that only whole-number scores are given.
To obtain a "C" or better, Trent needs to score between
------and------ inclusive.
 
 
 

 

 
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