Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

Tutors Answer Your Questions about Rational-functions (FREE)

Question 522888: (5*3)2/3

Click here to see answer by unlockmath(1603)

Question 523656: My homework is on story problems and i just dont know how to set it up niether do my parents.
Question:
YOur aunt and uncle have been visiting at your home. Five minutes after they drive away, you realize that they forgot thier bags. You happen to know that they drive slowly, so you get in your car and drive to catch up to them. Your average speed is 10 mph faster than thier average speed,and you catch up with them in 25 minutes. How fast did you drive?
Verbal Model- Your speed = Their Speed + 10 mph
Your speed x Your time in hours = Their speed x Their speed in hours
Click here to see answer by stanbon(57409)

Question 523678: f(x)=x^5+3x^3+2x
Click here to see answer by scott8148(6628)

Question 522220: Please help. i don't know how to do this.
I have to write the following in vertex form and tell if they open up or down.
1.The vertex of the parabola is the origin. Point P (1,7) lies on the graph of the parabola.
2.The vertex of the parabola is the origin. Point W (4,-5) lies on the graph of the parabola.
Thanks so much
Click here to see answer by lwsshak3(6522)

Question 523865: x-3 over x+4 multiplied by x+3 over x+4
Click here to see answer by Maths68(1474)

Question 523894: Could you please help. I need to write the equation of the parabola in vertex form.
1. The parabola has it's vertex at the origin. Write the equation of the parabola if it also passes through the pooint (-1,2)
Thank you so much!
Click here to see answer by stanbon(57409)

Question 523899: Hello. Please help with this.
I have to write the equation of y+ x^2 + 6x + 5 in vertex form. Showing all work.
I appreciate your help!
Click here to see answer by stanbon(57409)

Question 523955: Would someone be so kind as to help with this?
A ball is thrown over a 5 ft fence. The ball clears the fence, but without much
room to spare. The ball lands 10 ft from the fence. Using the fence as the
axis of symmetry, write an equation that approximates the path of the ball. (Let the origin be where the fence meets the ground.)
I need an equation in vertex form.
Thanks so much!
Click here to see answer by Alan3354(30993)

Question 524018: Help please!!!
I have to write an equation in vertex form for two parabolas.
first has vertex at (0,5) and point (10,0)
second has vertex at (0,4) and point (1,2)

Thank you so much.
Click here to see answer by lwsshak3(6522)

Question 524075: Can you please help me with this problem:
Solve each system of equations by using substitution
1. 2x+y=4
3x+2y=1

Click here to see answer by mananth(12270)

Question 524087: Can you help solve these functions with 3 variables?
4a + 2b - c = 5
2a+ b - 5c = -11
a - 2b + 3c = 6
Click here to see answer by Alan3354(30993)

Question 524087: Can you help solve these functions with 3 variables?
4a + 2b - c = 5
2a+ b - 5c = -11
a - 2b + 3c = 6
Click here to see answer by mananth(12270)

Question 524087: Can you help solve these functions with 3 variables?
4a + 2b - c = 5
2a+ b - 5c = -11
a - 2b + 3c = 6
Click here to see answer by Edwin McCravy(8913)

Question 524092: Please help me with these problems:
Solve each system of equations by using substitution
1. x-3y=9
x+2y=-1
2. g+3h=8
1/3g+h=9
3. 2a-4b=6
-a+2b=-3
4. 2m+n=6
5m+6n=1
5. 4x-3y=-6
-x-2y=7
Click here to see answer by lagbens(14)

Question 524039: a factory produces 6 motorcycles in 9 hours.find how many hours it takes to produce 16 motorcycles.
Click here to see answer by oberobic(2304)

Question 523903: I have a question that needs an equation.
A ball is thrown over a 5 ft fence. The ball clears the fence, but without much room to spare. The ball lands 10 ft from the fence. Using the fence as the axis of symmetry, write an equation that approximates the path of the ball. (Let the origin be where the fence meets the ground.)
Click here to see answer by ankor@dixie-net.com(15661)

Question 523953: I need help please. How do I write this is standard form?
y = -2 (x+7)^2 - 5
I really appreciate the help.
Click here to see answer by lwsshak3(6522)

Question 523896: Help me please! I have to write the equation of the parabola in vertex form.
(show all work)
The vertex is (0,4) and it passes through point (1,2)

Thank you for your help.
Click here to see answer by lwsshak3(6522)

Question 522292: Please help me solve this question:
1. Use the Rational Theorem and synthetic division to find all rational zeros of the function,
f(x)=2x^3-9x^2-6x+5
Factor f(x) into linear factors.
Click here to see answer by lwsshak3(6522)

Question 519493: Find the inverse of the one to one function
f(x)=-4x+5
Click here to see answer by lwsshak3(6522)

Question 524440: Find f(x+6) for the following function. Please show all of your work.
f(x)=sqrtx^2+2/-5x
Click here to see answer by solver91311(16897)

Question 524448: Given the function f(x)=-2(x+5)^2+10 complete the following. Please show all of your work.
i. If f(x)=10, what is x ?
ii. What point(s) from part (i) are on the graph of f?
iii. List the x-intercepts, if any, of the graph of f.
iv. List the y-intercept, if there is one, of the graph of f.
Click here to see answer by lwsshak3(6522)

Question 524446: c-2(x+5)^2+10.
Click here to see answer by lwsshak3(6522)

Question 523333: Can you graph T=-.2x^2+12x+11
Click here to see answer by lwsshak3(6522)

Question 524490: how do you write an absolute value function that models the front of the house?
Click here to see answer by Edwin McCravy(8913)

Question 519317: Hi,
The question states "Find all rational zeros of f. Then (if necessary) use the depressed equation to find all roots of the equations f(x)=0.
3x^4-20x^3-20^x2-28x-7
My possible zeros are +/- 1, 1/3, 7/3, 7.
However none appear on the graph. I am lost as to what to do next. Thanks for the help.
Click here to see answer by lwsshak3(6522)

Question 521517: If we assume the earth's orbit around the sun to be circular, with a radius of 93 million mi, how many miles does the earth travel (around the sun) in 132 days?
Click here to see answer by lwsshak3(6522)

Question 524608: Hi, I could really use some help with this problem: during the first part of the trip, a canoeist travels 47 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?
Click here to see answer by stanbon(57409)

Question 524660: i am pretty confused, can you help me with solving this problem and show me how its done:
y/(y^2-4^2)- 1/(y-2)
Click here to see answer by stanbon(57409)

Question 524671: Please help me. Write a quadratic equation in the variable x having the given numbers as solution. Type the equation in standard form ax^2 + bx +c =0
-sqrt6, 7 sqrt6 Thank you. I cannot seem to get this.
Click here to see answer by edjones(7569)

Question 524727: How do i write a quadratic function in standard formwith the zeros; -4 and -4
Click here to see answer by mananth(12270)

Question 524727: How do i write a quadratic function in standard formwith the zeros; -4 and -4
Click here to see answer by stanbon(57409)

Question 525016: Please show me the steps for finding an inverse for
y= 3x-6
I have to solve for y
also, Y= x^2 + 5

Thank you so much.
Click here to see answer by lagbens(14)

Question 525392: f(5) if f(x) = x+6
Click here to see answer by richard1234(5390)

Question 525076: Solve each inequality by graphing
x2-9x+9<0
Click here to see answer by lwsshak3(6522)

Question 525627: Please help me with this problem.I'm not sure what to do.
I have to graph each function and state its domain and range.
y= sqrt(x-1) + 2
Thank you very much.
Click here to see answer by stanbon(57409)

Question 526276: Please help with this. How do I add complex numbers?
1. (3+2i)+(4-4i)
2. (1+4i)+ (1-3i)

Thank you so much!
Click here to see answer by solver91311(16897)

Question 526280: Hello. Please show me how to do this. I have to subtract complex numbers.
1.(3-8i)-(4+6i)

2.(3+5i)-(5i)
Thank you
Click here to see answer by josmiceli(9697)

Question 526307: Can I find the domain of a rational function 2/x(-3)? I'm not sure, is it just all real numbers or all real numbers except x=0
Click here to see answer by stanbon(57409)

Question 526284: I don't know how to do this. Could you please explain? I have to multiply complex numbers.
a. (2-5i)(3+2i)
b. (4-i) (6-5i)

Thank you so much!
Click here to see answer by Alan3354(30993)

Question 526282: Please help with this. I have to graph complex numbers
A 3-4i
B -5+2i
C 6i
D 4
E -3-2i
F 2+i
Thank you for the help!
Click here to see answer by Alan3354(30993)

Question 525616: Would you be so kind as to help me with this?
I have to graph each function and state it's domain and range.
y = sqrt(x+1)+4
Thank you so much
Click here to see answer by lwsshak3(6522)

Question 526461: 4-5(7x-3)
Click here to see answer by jim_thompson5910(28598)

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