Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

Tutors Answer Your Questions about Graphs (FREE)

Question 147070: Find the vertical and horizontal asymptote(s)
f(x)=(x^3+3x^2)/(x^2-4)
Thank you
Click here to see answer by solver91311(24713)

Question 147097: The question is to find the vertical and horizontal asymptote(s)
f(x)=(x^3+3x^2)/(x^2-4)
Click here to see answer by Fombitz(32388)

Question 147109: I need help solving problems such as
3y -3 < 5y � 4
I start with 3y � 3 < 5y
I am never sure if I should subtract 5y from each side or subtract 3y from each side.
Then with 3 < 5y � 4
Do I add four on both sides or subtract 3 from each side?
I will get different answers depending on which way I go.
Can you help?
Thank you.

Click here to see answer by jim_thompson5910(35256)

Question 147069: Find the vertical and horizontal asymptote(s)
f(x)= (x^3+8)/(x^2+4)
Thank You
Click here to see answer by nabla(475)

Question 147124: This Algebra is making me crazy. When solving by elimination method, I get mixed up, for example:
5x + 2y = -13
7x � 3y = 19
Do I find the common denominator for y? I would multiply the top equation by 3 and the bottom equation by 2.
3(5x + 2y) = 3 (-13)
2(7x � 3y) = 2 (19)
15x + 6y = -39
14x � 6y = 38
Do I add or subtract?
29x = -1 0r 1x =-1
x = -1/29 or x -1/1 or just -1
I know that whatever I get for x, I then replace the x in either of the first two equations to solve for y. I would then have the ordered pair for the solution to the system.
Thank you so much.

Click here to see answer by stanbon(75887)

Question 147127: I am attempting to solve two equations using the substitution method.
x + y = 56 first equation
I have 3 times as many y as x, so I believe the next equation is
3x + y = 56
solve for y
y = -3x + 56 now in the first equation, I replace y with -3x + 56
x + -3x +56 =56
-2x + 56 -56 = 56 -56
-2x = 0? This can not be correct. Can you help me?
Thank you very much.

Click here to see answer by ankor@dixie-net.com(22740)

Question 147131: Graph the quadratic function
f(x)=(x+4)^2
Thank you
Click here to see answer by checkley77(12844)

Question 147152: Find the inverse function of f
f(x)=3x+1
Thanks

Click here to see answer by jim_thompson5910(35256)

Question 147132: Find the inverse function of f
f(x)+2x-3
Click here to see answer by ankor@dixie-net.com(22740)

Question 147149: A container is to be designed that is a rectangilar box with an open top that will hold 108 cubic inches. If x= the length of the side of the base, then express the surface area of the box as a function of X. What is domain of this function and determine the dimensions of the box that minimizes the surface area of the box
Click here to see answer by ankor@dixie-net.com(22740)

Question 147183: Find (fg)(x). What is the domain of f/g
f(x)=2x-5, g(x)=2-x
Click here to see answer by nerdybill(7384)

Question 147191: I am having problems understanding the whole concept of graphing linear inequalities, for that matter, anything with graphing. Does anyone know where to get the rules for graphing? Or anything that goes step by step. I feel like a fool! But I'm not shy and I will ask if I need help. HELP!
Thanks for your time!
Click here to see answer by jim_thompson5910(35256)

Question 147184: find (f-g)(x). What is the domain of f/g
f(x)=2x-5 g(x)=2-x
Click here to see answer by jim_thompson5910(35256)

Question 147206: I need to describe what the graph of interval [-4,10] looks like. I do not even know how to begin to answer the question. Please help me get on the right track!!
Click here to see answer by jim_thompson5910(35256)

Question 147213: Solve the following compound inequality and write down the solution in interval notation: 2x � 4 < 0 or 6 � x < 3
Click here to see answer by jim_thompson5910(35256)

Question 147214: 3x-3=y give the ordered pair if x is 3 -4x=3(1-y)=8 give the ordered pair if y is 1
Click here to see answer by mangopeeler07(462)

Question 147216: When solving a system of equations, how do I know what numbers to put in place of x and y? An example is:

2x � 6y = 42
3x � 9y = -15
I am to solve similar systems of equations but I do not understand what nubers to replace the variables with.
Can you help?
Thank you very much.

Click here to see answer by jim_thompson5910(35256)

Question 147230: I need help, if you may. It says without drawing the graph of the given equation, determine: How many x-intercepts the parabola had and whether its vertex lies above or below or on the x-axis.
y=x^2-5x+6
Thank you=)
Click here to see answer by jim_thompson5910(35256)

Question 147237: I am trying to solve this inequality. 3(1-2x)/4 - (1/2)x is less than 1. I dont know what to do with the equation because of the 2 fractions.
Click here to see answer by nerdybill(7384)

Question 147120: graph 0, 4, -7 and 1 on a number line and determine the order of the numbers
Click here to see answer by jim_thompson5910(35256)

Question 147314: I am struggling with intercepts. Can you help me to find intercepts for x+y=56
and y=3x? These are examples of the problems I am trying to solve but am struggling with. Thank you.
Click here to see answer by nerdybill(7384)

Question 147313: I am having trouble solving the system of equations by graphing.I can never seem to choose the right numbers to replace the variables with. For example:
2x - 6y = 42
3x - 9y = -15
I keep getting (8, -4) for the ordered pair but this in not correct. Can you help me figure this out please.
Click here to see answer by jim_thompson5910(35256)

Question 147365: graph the system of inequalities.
y is greater than or equal to -3
x is greater than or equal to 4
Click here to see answer by stanbon(75887)

Question 147442: y=x^2-6x
Click here to see answer by nabla(475)

Question 147472: For each of the following inequalities indicate whether the boundary line should be dashed or solid.
x+y<2 2x<-y
2x-y>3 x+y>1
y>2 4x-2y+1>0
2>x-y

Click here to see answer by vleith(2983)

Question 147596: Graph by using
Click here to see answer by jim_thompson5910(35256)

Question 147600: how do you answer -16=-2n-6n

Click here to see answer by jim_thompson5910(35256)

Question 147659: Hope someone can help me with this.
a. An financial advisor invested a total of $6,000, part at 4% annual simple interest and part at 6.5% annual simple interest.
The amount of interest earned for 1 year was $335.00. How much was invested at each rate? Show work.

b. Consider the equation 3x2 � 4x + 7 = 0.
1.Find the discriminant, b2 � 4ac, and then determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.

2. Use the quadratic formula to find the exact solutions of the equation. Show work.

Click here to see answer by stanbon(75887)

Question 147658: Hope someone can help me with this.
a. Find the vertex of the parabola.
f(x) = -x2 + 9x - 5
Which is the correct solution? Show work.

1. (-9/2; -263/4)
2. (9,-5)
3. (9/2,61/4)
4. (9/2,101/4)

b. Simplify (3 – 2i)(4 – 5i) and write the answer in the form a + bi, where a and b are real numbers. Show some work.

1. Solve the equation 5(4x – 1) – 2(x – 5) = 6(x + 2). Show some work.

Click here to see answer by scott8148(6628)

Question 147663: could someone help me with this?
Which of the following functions is an even function?
1. f(x)=4x-2
2. f(x)=/6x+8/
3. f(x)=3-x^2
4. f(x)=x/x+1

Click here to see answer by mangopeeler07(462)

Question 147707: I am attempting to solve an applied problem and having trouble setting it up.
Train A is traveling at 60 mph and train B is traveling at 80 mph, train A passes a bust stop at 7:25 AM and train B passes the bus stop at 7:40 AM, what time will B catch up with A?
Is this a situation where I find the slope
80-60/7:40 � 7:25 20/15

y-20= 20/15(x � 15)
y= 20/15x -20 +20
y=20/15x
I do not believe this is correct. Can you help me please?

Click here to see answer by stanbon(75887)

Question 147714: Find the max revenue of by use of a graph.
Click here to see answer by jim_thompson5910(35256)

Question 147754: graph the inequality in the coordinate plane 2x-4y_<16
Click here to see answer by jim_thompson5910(35256)

Question 147752: graph y= -3|x+1|+3.compare the graph with the graph of y=|x|
Click here to see answer by stanbon(75887)

Question 147724: please show how you find the distance and midpoint of the following set of points:
(2,radical 3) and (-3, radical 27)
Click here to see answer by Alan3354(69443)

Question 147782: graph the following equation; x+2y=4
Click here to see answer by jim_thompson5910(35256)

Question 147802: hope someone could help

(-i)^4 "i" is an imaginary number
What is the correct solution?
1. i
2. -i
3. 1
4. -1
Click here to see answer by scott8148(6628)

Question 147891: When solving equations by graphing, I get confused if fractions are involved.
For example:
9x � 5y = 20 and
First equation
Let x = 0
-5y = 20
divide both sides by -5
y = -4

Let y = 0
9x = 20
Divide both sides by 9
X = 20/9 or 2 and 2/9

I would plot on a graph the two points
(0, -4)
(2 2/9, 0)

Second equation
5y � 9x = -20
Let x = 0
5y= -20
divide both sides by 5
y = -4
let y = 0
-9x = -20
Divide both sides by -9
x = -20/-9 or 20/9 or 2 2/9
I would plot on the graph the two pints
(0, -4) (2 2/9, 0)

Both equations are the same. Am I doing this correctly?
Thank you

Click here to see answer by Fombitz(32388)

Question 147890: I am trying to find the slopeof x= -6. When graphing, x is always -6 no matter what y may be. So, I have a vertical line at -6 on the x axis. To me, this slope is undefined or does not exist at all. Am I on the right track?
Thank you for your time and help on this.
Click here to see answer by Fombitz(32388)

Question 147833: Represent the graph of the piecewise function y=f(x-1)-2
Click here to see answer by Fombitz(32388)

Question 147830: Represent the graph of the piecewise function y=f(x-1)-2
Click here to see answer by Fombitz(32388)

Question 147806:
Find the graph of this piecewise function.
Y=f(x-1)-2

Click here to see answer by Fombitz(32388)

Question 147911: Graphing an equation using the slope and intercept of y = 4/3x + 2
I know 4/3 is the slope and 2 is the y � intercept but I am not sure how to graph this. Is this as simple as graphing 4/3 or 1 1/3 on the x axis and 2 on the y axis? It seems to me there is a step I am missing.
If I keep at it, eventually I will get this Algebra stuff.

Click here to see answer by nerdybill(7384)

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