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)
Am I the only one with 25 questions??
I do too, can someone please tell the answers?
I think I'm going to be better off guessing. The teachers really tricking us up on this question.
oi oi oi pp
oi oi oi erwin pp pee pee
Is . Correct?
I’m so confused
ok so what are the steps to solve this problem 0.000027 divided by 0.000009 guys all were doing here is divideing im pretty sure tha the answer is 3 or negative 3 ok moveing on to question 3 o.54 written as a simplified fraction well since the 54 is in the hundreths place i would say 54 over 100 but the answer has to be simplfied so the answer is 27/50 question 4 idk that one its to long and confuseing ok so I was only able to help with question 1 and 3 sorry but once i get the answers cuz imma do it quik i will tell you
mine has 18, oui oui baugette
mine has 23 questions
Some of mine were different from イライラ :')
1) Suppose that y varies jointly with w and x and inversely with z and y = 400 when w = 10, x = 25, and z = 5. Write the equation that models the relationship.
y = 8wx/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.
$22 per person
3) Graph the function xy+16=0
A. You can use mathway to check answer if you want to
4) Sketch the asymptotes and graph the function y=5/(x-2) + 3
A. Check mathway if you want to check the answer
5) What is the equation of the function y=5/x translated 4 units to the left and 3 units up?
y = 5/(x+4) + 3
6) Find any points of discontinuity for the rational function. y=(x-8)/(x^2+4x-5)
x = -5 and x = 1.
7) Describe the vertical asymptote(s) and hole(s) for the graph of y=(x-5)/(x^2+4x+3)
x=-3 and x=-1 and no holes.
8) Find the horizontal asymptote of the graph of y=(-2x^6+5x+8)/8x^6+6x+5)
-1/4
9) Which of the following is the graph of the rational function? (x^2+5x-12)/(x^2-25)
D. Make sure you double check with mathway to ensure you get it right!
10) Simplify the rational expression. State any restrictions on the variable.
(t^2+4t-12)/(t^2-4)
(t+6) / (t+2) t ≠ 2 and t ≠ -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)
(x+3)(x-3)/(x-1) x ≠ -2, x ≠ -4 and x ≠ 1
12) Which is equivalent to (2x)/(x-7) - (x+7)/x ?
(x^2 + 49)/x(x-7)
13) What is the difference in simplest form?
(n^2+3n+2)/(n^2+7n+8) - (2n)/(n+5)
(n-1)/(n+5)
14) Simplify the sum.
(d^2-5d+6)/(d^2+d-6) + (d^2-4d-5)/(d^2+3d+2)
d^2-5d+6)/(d^2+d-6) + (d^2-4d-5)/(d^2+3d+2)
15) Simplify the complex fraction.
(n-6)/(n^2+11n+24) / (n+1)/(n+3)
(n-6)(n+1)/(n+3)(n+8)
16) Solve the equation. Check the solution.
(a)/(a^2-16) + (2)/(a-4) = (2)/(a+4)
-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.
(x)/(9) + (x)/(8) = 1; 4.24 hours
To find the equation for an inverse variation, we can use the formula y = k/x, where k is a constant. We can plug in any of the given x and y values to solve for k. Let's use the first pair of values, x = 5 and y = 2:
2 = k/5
To solve for k, we can multiply both sides by 5:
10 = k
Now that we have our value of k, we can write the equation for the relation:
y = 10/x
So the relation in the table represents inverse variation, and the equation for the relation is y = 10/x.
1.0.02
2.17/25
3.1/49
4.1/36
5.6^6
6.Idaho has the smallest population
7.0.00000000228
8.3.141592...
9.1.2X10^8
10.0.166666666666...
11.1/9
12.6.2
13.19/12
14.1 16/21
15.-2/3
16.4/9
17. 3.25
18. 0.193
19. write your own.
(for Connexus 2020)
I hope this helps!
Drag the numbers to order them from least to greatest.
-2.86
-0.37
0.19
0.91
1.46 which on
hey is . correct? bc i have the same test as him/ her
If you post a couple of questions and your answers, we may be able to help you.
Is it -6/7?
for mine
1. .02
2. 18/25
3. idk but 81
4. 6-^2x4^0
and idk the rest.
my #9 i put 2.4x10^10
my #13 i put 25/42. idk if this helps but i need help with the rest.
1 [Or 2]. write your own answer
3. 18/25
4. 1/3
5. 1/81
6. 3.2 x 10^6
7. 1.2 x 10^8
8. 1/24
9. $8.00
10. 5.12 x 10^6
11. 7.75
12. Chicago cubs
13. 0.0000000228
14. 0.4044...
15. 1/3
16. 1.3
17. 3 1/8 feet
18. -29/30
19. 5/36
20. 1 4/9
21. -1/8
22. 4/9
23. 2
24. 3/5
25. Write your own answer
Yes, 0.193 is the correct answer for -1/9 + (-5/7).
i have 15 questions.. answers???
I have 16 questions
all of ours are mixed, if anyone posts answrs you my need to put the question or just the answers in words.
so far i only have 6 answers. idk if there right.
Hey Ms sue can u help me with question 18
-1/9 + (-5/7)=?