Reference no: EM131011614
Problem 1:
Express the following sets of numbers using interval notation:
{x\x < - 2 or x > 0}
Problem 2:
Find the midpoint of the line segment connecting P(-2; 5) and Q(4;
Problem 3:
Determined whether or not (-1, 0) is on the graph x2 + y3 = 1.
Problem 4:
Find the x- and y- intercepts (if any) of the graph of (x - 2)2 + y2
Problem 5:
Use the Vertical Line Test to determine if the following relation describes y as a function of x.
Problem 6:
What are the domain and range of the following function:
f (x) = Vx3 - 8
Problem 7:
What are the domain and range of the following function:
f (x) = V7 - x
Problem 8:
The area A enclosed by a square, in square inches, is a function of the length of one of its sides x, when measured in inches. This relation is expressed by the formula A(x) = x2 for x > 0. Find A(2) and solve A(x) = 49. Interpret your answers to each. Why is x restricted to x > 0?
Problem 9:
Let f (x) = 6x2 - x and g(x) = 4 - X. Find (f + g)(-1)
Problem 10:
Find and simplify the difference quotient for the following function:
f (x) = x2 - 2x + 3
|
Considering an annuity
: You are considering an annuity that will pay you $1300 per year for 25 years, with the first payment made 15 years from now. How much are you willing to pay for the annuity if the interest rate is 2%?
|
|
What would be the monthly payment on the loan
: You are thinking about buying a car, and a local bank is willing to lend you $15,000 to buy the car. Under the terms of the loan, it will be paid off over 5 years with an APR of 6%. What would be the monthly payment on the loan? What is the interest ..
|
|
Political or technological events are affected by culture
: Discuss what global social, economic, political or technological events are affected by culture and how a better understanding of intercultural communications can influence how we respond to these events.
|
|
Investment to reach the desired level at first bank
: You are saving to buy a $194,000 house. There are two competing banks in your area, both offering certificates of deposit yielding 7.9 percent. How long will it take your initial $111,000 investment to reach the desired level at First Bank, which pay..
|
|
Find and simplify the difference quotient
: Find and simplify the difference quotient - Vertical Line Test to determine if the following relation describes y as a function of x.
|
|
The ideal number of children
: What do you think is the ideal number of children for a family to have?" A Gallup Poll asked this question of 1016 randomly chosen adults. Almost half (49%) thought two children was ideal.
|
|
Prepare journal entries to record the machines purchase and
: Onslow Co. purchases a used machine for $288,000 cash on January 2 and readies it for use the next day at a $8,000 cost. On January 3, it is installed on a required operating platform costing $1,600, and it is further readied for operations. Prepare ..
|
|
Determining the inheritance of blood types
: Children inherit their blood type from their parents, with probabilities that re?ect the parents' genetic makeup. Children of Juan and Maria each have probability 1/4 of having blood type A and inherit independently of each other. Juan and Maria pl..
|
|
What is the amount of supplies expense for the accounting
: The asset account, Office Supplies had a beginning balance of $6,000 during the accounting period, office supplies were purchase ,on account for $5,400 A physical count. on the last day of the accounting period. show $2,000 of office supplies on hand..
|