i need help with my Rational Numbers unit test part 1
RATIONAL FUNCTIONS UNIT TEST PART 1 ALL CORRECT 100%
1: Suppose that y varies jointly with w and x and inversely with z and y = 540 when w = 15, x = 30, and z = 5. Write the equation that models the relationship.
ANSWER: (6wx)/z
2: A drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the bus rental varies inversely to the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 60 people go on the trip? Round your answer to the nearest cent, if necessary.
ANSWER: $22.00
3:Graph the function. xy + 9 = 0
ANSWER: letter C, the one with the curvy line in the top left and bottom right
4:Sketch the asymptotes and graph the function y=5/(x-2) + 3
ANSWER: letter A, the graph with a vertical asymptote of 2 and a horizontal asymptote of 3
5:What is the equation of the function y=2/x translated 3 units to the left and 4 units up?
ANSWER: y=2/(x+3) + 4
6:Find any points of discontinuity for the rational function. y=(x-8)/(x^2+5x-6)
ANSWER: x=1, x=-6
7:Describe the vertical asymptote(s) and hole(s) for the graph of y=(x-6)/(x^2+5x+6)
ANSWER: asymptotes:x=-2, -3 and no holes
8: Find the horizontal asymptote of the graph of y=(2x^6+5x+8)/8x^6+6x+5)
ANSWER: y=-1/4
9: Which of the following is the graph of the rational function? (x^2+2x-8)/(x^2-9)
ANSWER: letter A, the one with a line in the top right quadrant and a line down the middle
10: Simplify the rational expression. State any restrictions on the variable.
(t^2+4t-12)/(t^2-4)
ANSWER: (t+6)/(t+2), t does not equal 2 or -2
11: What is the product in simplest form? State any restrictions on the variable.
(x^2+5x+6)/(x+4) • (x^2+x-12)/(x^2+x-2)
ANSWER: (x+3)(x-3)/(x-1)
12: Which is equivalent to (3x)/(x-7) - (x+7)/x ?
ANSWER: (2x^2+49)/x(x-7)
13: What is the difference in simplest form?
(n^2+3n+2)/(n^2+6n+8) - (2n)/(n+4)
ANSWER: (1-n)/(n+4)
14: Simplify the sum.
(d^2-9d+20)/(d^2-3d-10) + (d^2-2d-8)/(d^2+4d-32)
ANSWER: (2d^2+8d-28)/(d+2)(d+8)
15: Simplify the complex fraction.
(n-6)/(n^2+11n+24) / (n+1)/(n+3)
ANSWER: (n-6)/(n+1)(n+8)
16: Solve the equation. Check the solution.
(a)/(a^2-16) + (2)/(a-4) = (2)/(a+4)
ANSWER: -16
17: A group of college students is volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Working alone, Irina can paint a certain room in 9 hours. Paulo can paint the same room in 8 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth.
ANSWER: (x)/(9) + (x)/(8) = 1; 4.24 hours
18:Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
x 5 10 15 20
y 2 1 2/3 1/2
ANSWER: inverse variation, the equation is y=(10)/(x)