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

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Question 543916: When using the substitution method, what expression for x in the second equation would be substituted in the first equation?
4x – 7y = –9
x + 3y = 12

Click here to see answer by stanbon(57246) About Me 

Question 544057: If f and g are linear functions such that g(f(x)) = 2x+ 6 and the graph of y = f(g(x)) passes through the origin what is the value of f(g(2011))?
Click here to see answer by stanbon(57246) About Me 

Question 544065: Axia College Material
Appendix F
Ticket Sales
Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?
The graph will open down because the coefficient of x^2 is negative.

b. Describe what happens to the tickets sales as time passes.
Over time the ticket sales will increase reach a peak then decrease
c. Use the quadratic equation to determine the last day that tickets will be sold.
Day 25
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?
The ticket sales will peak during the middle of the sale because the graph opens down looking like an upside down u.
e. After how many days will the peak or low occur? After about 12 days the ticket sales will peak

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

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Question 544134: Please help me help my kiddo with homework. Thanks!
Graph solution to system of inequalities
-x + y ≥ 0
-2x + y ≥ 3

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Question 544507: Can you show the graph of 3y-7x<-15 with work showing how you got that. Thank you
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Question 544491: For the equation y = 3x + 5 write the equation of the lines in slope intercept form that pass through point (-4,1) and are parallel and perpendicular to the given line.
Click here to see answer by mananth(12270) About Me 

Question 544123: How do you write an equation in slope intercept form for the line that passes through (3, 7) and (7, 4)?
Click here to see answer by JBarnum(2044) About Me 

Question 544619: Find the slope of the line.
45x-5y=3.4

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Question 544847: The problem I have is 4x – 3 = x – y. I need to graph this but I don't understand how to get there, teacher didn't cover an equation like this. I have tried subtracting x from both sides leaving 3x - 3 = -y but I don't see how you would get graph points from that. Could you please explain how I can solve this problem? I don't want just the answer, i'd like to know how to solve for future reference.
Again, graph 4x-3=x-y

Click here to see answer by saifoo.khan(162) About Me 
Question 544847: The problem I have is 4x – 3 = x – y. I need to graph this but I don't understand how to get there, teacher didn't cover an equation like this. I have tried subtracting x from both sides leaving 3x - 3 = -y but I don't see how you would get graph points from that. Could you please explain how I can solve this problem? I don't want just the answer, i'd like to know how to solve for future reference.
Again, graph 4x-3=x-y

Click here to see answer by rapaljer(4667) About Me 
Question 544847: The problem I have is 4x – 3 = x – y. I need to graph this but I don't understand how to get there, teacher didn't cover an equation like this. I have tried subtracting x from both sides leaving 3x - 3 = -y but I don't see how you would get graph points from that. Could you please explain how I can solve this problem? I don't want just the answer, i'd like to know how to solve for future reference.
Again, graph 4x-3=x-y

Click here to see answer by josmiceli(9661) About Me 

Question 544851: graph the linear equation
6x-3y=18

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Question 544851: graph the linear equation
6x-3y=18

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Question 544862: How do you graph 3x + y = 9?
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Question 544862: How do you graph 3x + y = 9?
Click here to see answer by rapaljer(4667) About Me 

Question 544771: How would I type an equation in the slope intercept form for the points (2,5) and (6,8)?
Click here to see answer by saifoo.khan(162) About Me 

Question 544969: Write the equation of the line with m=-4 and pass through (3, -1)
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Question 545070: Plot (0,2) on the coordinate axes.



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Question 544675: I need help graphing the following equations:
2x+5y=12
4x+3y=2
3x-2y=10
If you could help me graph the first one, I am sure I could figure out the rest.
Thank you,
Emily

Click here to see answer by ankor@dixie-net.com(15638) About Me 

Question 545115: Can you please graph -7x+7y=-49

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Question 545150: find an equation of the containing the given pair of points (2,5) and (6,7)
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Question 545090: Are the following lines parallel, perpendicular, or neither:
a.) 9x - 12y = 17 and 3x - 4y = 17
b.) y = -3 and x = -3
c.) y = 3x + 4 and y = -3x - 2
How do I solve these. Please explain and show work so I can follow along/understand what I am suppose to be doing.


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Question 545248: wat is the answer of y+y{2x+4}=9?

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Question 545243: I want to find the slope, y-intercept and angle of this equation:
14x -y -sqrt(2) = 0
I know the answer but I want the method please
Anwer: Slope = 14, y-intercept = sqrt(2) and the degrees = about 85.9
Thank you

Click here to see answer by Alan3354(30983) About Me 

Question 545341: write an equation of a line that passes through the origin and has a slope of 3

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Question 545316: graph each line:
1. y=x+2
2. y=-x-5

Click here to see answer by jim_thompson5910(28504) About Me 

Question 545238: Find the Equation of a Line Given That You Know Two Points it Passes Through.
(1/2,-3) and (-2,1)
Thank you

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Question 545479: the pitch, or frequency, of a vibrating string varies directly with the square root of tension. if a string vibrates at a frequency of 144 hertz due to a tension of 2 pounds, find the frequency when the tension is 18 pounds.
Click here to see answer by Alan3354(30983) About Me 

Question 545560: how do i write aN Equation in slope intercept form for y+3=3(x-1)?????
Click here to see answer by jerryguo41(162) About Me 

Question 545797: Please can someone help me solve this problem?
In slope intercept form, give the equation of the line that contains
(1-2),(-2,1)

Thank you for your help

Click here to see answer by mananth(12270) About Me 

Question 545769: what is the equation in standard form that passes through the point (2,5) and has the same slope as the graph of 3x+y=9?
Click here to see answer by mananth(12270) About Me 

Question 545929: can you explain x and y intercepts for the problem x^2+4x-5
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Question 545940: without graphing answer the following questions about the system, x-y=7, 9x=9y+4. thank you
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Question 545936: 3x+4y>8 and I need to graph it?

Click here to see answer by JBarnum(2044) About Me 

Question 545941: without graphing answer the following questions about the system, x-y=7,
9x=9y+4.
Does this system have a solution?
yes or no?
Is the system inconsistent, are the equations dependent, or neither?
What does this graph look like? Intersecting lines? One line? Or parallel lines?
Thank you for your help

Click here to see answer by lmeeks54(105) About Me 

Question 546089: Hello how are you?..While i was just wondering if you guys can explain to me in a simple way to write equations in slope intercept form. Thank you so much!
Click here to see answer by Alan3354(30983) About Me 

Question 545839: No one has been able to solve this for me
Explain how exponnential functions are relevant and applicable to real life
situations.
Think of a real life situation that can be represented by an exponential
function.
Write a function to represent the situation.
Label all vaiables.
Explain how you wrote the function.
Graph your equation.

pleasee help

Click here to see answer by ankor@dixie-net.com(15638) About Me 

Question 546145: graph equation:
3y-18x=9

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Question 546237: find the slope of the line passing through the points (-8, -4) and (2,-7)
Click here to see answer by jim_thompson5910(28504) About Me 

Question 546247: GRAPH f(x)=-(x+3)+2 whats the Y intercept?
Click here to see answer by KMST(1868) About Me 

Question 546651: Demonstrate the triangle with vertices are (4,-1), (-2,3) and (-6,-3) is a right triangle. (Prove that the Pythagorean theorem is verified)
The answer is supposed to be: Sides measure respectively sqrt(52), sqrt(52) and sqrt(104)
Help me please. I don't know how todo this.
Thank you

Click here to see answer by 11045troberts(1) About Me 

Question 546905: Determine the standard form of the equation of the line that contains (8,9) and (-9,-8)
Click here to see answer by mananth(12270) About Me 

Question 546904: find the general form of the equation of the line that passes through the points (-7,-1) and (6,7)
Click here to see answer by mananth(12270) About Me 

Question 546903: write an equation of the line that passes through the point (3,-2) with slope of 3
Click here to see answer by mananth(12270) About Me 

Question 546937: What would the x intercept of y=-2x+6 be?
Click here to see answer by rfer(12647) About Me 

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