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

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Question 77409: Graph of the following rational functions,give any equations for vertical,horizontal,or oblique asymptotes. Label completely!
6+2x
------
-4+x

Click here to see answer by jim_thompson5910(13794) About Me 

Question 77445: Graph the following rational functions, give any equations for vertical,horizontal, or oblique asymptotes.
-6x-24+3x^2
------------
5-26x+ 5x^2

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Question 77478: Please help, I began solving letter see, but I'm not sure if it is correct.
In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
a. Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function, and find the slope of the graph.
b. The bus company determined that even if they set the price very low, there are a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
c. If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 77544: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the hundredth's place.

a) Show coordinates in this space.


b) Show graph here.

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Question 77459: Ok stan h. you go this..
-(6x-24+3x^2)/(5-26x+ 5x^2)
=(3^2+6x-24)/(5x^2-26x+5)
=3(x^2+2x-12)/(5x^2-25x-x+5)
=3(x^2+2x-12)/(5x(x-5)-(x-5))
=3(x^2+2x-12)/(x-5)(5x-1)
But what would the x equal to??

---------------------------------------------------------------------
Graph the following rational functions, give any equations for vertical,horizontal, or oblique asymptotes.
-6x-24+3x^2
------------
5-26x+ 5x^2
1 solutions
--------------------------------------------------------------------------------
Answer 55556 by stanbon(7053) on 2007-04-08 11:12:48 (Show Source):

-(6x-24+3x^2)/(5-26x+ 5x^2)
=(3^2+6x-24)/(5x^2-26x+5)
=3(x^2+2x-12)/(5x^2-25x-x+5)
=3(x^2+2x-12)/(5x(x-5)-(x-5))
=3(x^2+2x-12)/(x-5)(5x-1)

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Question 77592: Can someone help plenty of us that we don't understand these problems
Problem 20
Directions: Complete the table, and describe the resulting graphs by identifying the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
y = x^2-4x

Problem # 30
Directions: find the x-intercepts
y = x^2+x-6

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Question 77590: Can someone explain to me step by step the following a lot of my classmates and including myself do not understand these problems.

For problem # 22
Directions: Complete the table, and describe the resulting graphs by identifying the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
y = 2x^2

Problem #24
Directions: Complete the table, and describe the resulting graphs by identifying the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
Y= x + 1

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Question 77584: How do you graph x-y=3
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Question 77652: Hi, the following is my question I have:

The linear equation y = 6x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).

Would the answer to this be diagonal? If I go six right on x, then go down 5?
Thanks!

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Question 77660This question is from textbook algebra
: I was wondering this question on a worksheet says (-5,4) and (-5,1)what's the slope?This question is from textbook algebra

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Question 77766: Find the equation of a line passing through the points (3,6) and perpendicular to the line y=x+7
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Question 77765: Find the equation of a line passing through (3,6) and parallel to the line y+x=7
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Question 77807: When is the square root of x greater than x?
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Question 77816: graph each equation
y=1+x

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Question 78074: t...ex
Problem #10
Solve the system by addition. Be sure to state the solution.
5x - 7y = 5
x + 3y = 1
Problem #11
Slove the system by graphing. Be sure to state the solution.
2x - 2y = 10
x + y = 3
x = 4

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Question 78075: t...ex
Problem #3
Graph the inequality
F(x) > x
(Hint: rewrite in y=mx+b form and use the y-intercept and slope)
Problem # 17
A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. (You do not need to solve or graph.)

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Question 78139: Find the vertex and intercepts for the parabola. Sketch the graph.
g(x)=x^2+x-6

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Question 78138: Graph the parabola.
y=-1/2x^2+3

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Question 78146: Hi,
Here is the problem I am having troubles with. Any help would be greatly appreciated
Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 2y = 8 and passing through (1, -6).

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Question 78238: Graph the quadratic function and state its domain and range.
h(x)=-3x^2

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Question 78230: Find the distance between each pair of points.

(-3, 0) and (4, 0)

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Question 78248: Solve this equation by completing the square:
-4x^2 + 8x=7
Please help me with this.

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Question 78255: hi i am having trouble working out how to do these graphs.
could someone show me how to work it out and if they could do the graphs that would be much appreciated x
Question:
plot a graph of the following curves and write down their co-ordinates of their intersection with the x- axis:
a, y=x²-x-2
b, y=2x²-3x-9
plot the graphs between x=-2 and x=+3
thanks for your help x

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Question 78249: I'm Stumped on this please help
Find the slope of a line perpendicular to the line y=-4x+3 Thanks for your time

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Question 78246: my question is plot a graph of the following curves and write down co-ordinates of their intersection with the x- axis
a, y=x²-x-2
b, y=2x²-3x-9

plot these graphs between x=-2 and x=+3

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Question 78357: can you tell me if my answer is correct.
determine the horizontal asymptotes of:
f(x)=  2x^+3
       _____
       4x^2+5
f(x)= 2x^2+3  2         1
      ______= ___   or ____
      4x^2+5   4        2

y=1/2

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Question 78373: I need to write an equation for the line described in slow intercept form.

x - intercept -2 , y intercept 4

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Question 78374: Also, The table represents a linear function f
a. find the slope of the line defined by y= f(x)
b. find the y intercept of the line
c. find the equation for this line in slope intercept form

X Y
-2 -11
-1 -8
0 -5
1 -2
2 1
3 4

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Question 78388: please can you help me graph these equations: y= 3x-1 and y=2x+3
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Question 78388: please can you help me graph these equations: y= 3x-1 and y=2x+3
Click here to see answer by checkley75(3666) About Me 

Question 78363: For equation, find the x-intercepts.
y=x^2+x-6

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Question 78448: how do you graph:
y = -2/3x + 6

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Question 78472: The figure shows the graph of the polynomial function y=f(x). For which of th values k=0,1,2,or 3 will the equation f(x) = k have complex roots?
a. 0
b. 1
c. 2
d. 3
I am not sure how to draw the graph to show what it looks like so I will try to explain it. The line comes up from the bottom of quadrant 3 and it goes to the right of (-1,-1)and continues up to (0,2)it then curves down thru (1,0)to (2,-2)and then curves up to just left of (3,0)and keeps going upward.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 78095: Graph the solution set of the following inequalities. x > 4
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Question 78095: Graph the solution set of the following inequalities. x > 4
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Question 78566: How do I write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept?
Slope: 5; y-intercept: (0, 2)
I'm still so lost!

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Question 78563: How do I find the slope and y-intercept of the line represented by each of the following equation?
2x - 3y = 6

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Question 78564: How do I write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept?
Slope: -2; y-intercept: (0, 4)

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Question 78579: I'm still a bit lost on this, how do I write the equation of the line L satisfying the given geometric conditions?
L has y-intercept (0, 2) and is perpendicular to the line with equation
2x - 3y = 6

Click here to see answer by checkley75(3666) About Me 

Question 78577: How do I write the equation of the line L satisfying the given geometric conditions?
L has y-intercept (0, -3) and is parallel to the line with equation
y = 2/3x + 1.

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Question 78610: Think about a real-life situation that follows a linear equation, with the independent variable being years. What would the slope tell you about future years?

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Question 78569: Can you tell and explain the equation of the line with given slope and y-intercept. Then graph each line using
the slope and y-intercept.
Slope: - 3/4; y-intercept: (0, 8)

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Question 78574: How do I write the equation of the line passing through each of the given pairs of points. And write my result in slope-intercept form, where possible for two problems?
1. (-1, 3) and (4,-2)
And
2. (2,-3) and (2, 4)

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Question 78572: Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4).

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Question 78668: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000