Answers 717- Algebra II AModeling with Systems

Modeling with Systems — Cumulative exam Answers

59 verified answers9 views

Free Preview

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

The graph moves up 18 units.

The graph moves down 18 units.

The graph moves left 18 units.

The graph moves right 18 units.

Free Preview

Which expression is equivalent to (4 + 7i)(3 + 4i)?

–16 + 37i

12 – 28i

16 – 37i

37 + 16i

If is the inverse of and , what is ?

g (x) = 12 x + 4

g (x) = one-fourth x minus 12

g (x) = x minus 3

g (x) = one-fourth x minus 3

Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.

Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.

Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.

Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

x = –2, x = –8

x = –2, x = –6

x = –2, x = 6

x = –2, x = 8

Which expression is equivalent to ? Assume .

x y squared StartRoot 8 x cubed EndRoot

2 x cubed y cubed StartRoot x y squared EndRoot

2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot

4 x cubed y Superscript 4 Baseline StartRoot x EndRoot

Which classification describes the following system of equations?

inconsistent and dependent

consistent and dependent

consistent and independent

inconsistent and independent

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

11.2 m

15.8 m

22.4 m

44.8 m

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

$0.03

$0.50

$0.95

$2.00

Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

mc022-1.jpg