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

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Question 122215: Graph the function for each.
7. f (x) = -2x � 5

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Question 122216: If f (x) = 4x -3, find the following:
8. f (-1)

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Question 122217: If f (x) = 5x � 1, find the following:
9. f (a -2)

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Question 122219: Solve the following applications involving functions.
10. Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function
P(x) = 2.25x � 7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?

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Question 122166: Find the y-intercept -x + 3y =15
please help
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Question 122156: I am supposed to write the equation of the line that is parallel to the given line and passes through the given point. I am stuck. this is what I have.
Here is the equation
y=x - 3(1,-1)
Here is what I have
y=mx + b
-1=1 - 3
-1=-2
-1 + 2=-2 +2

Click here to see answer by jim_thompson5910(35256)

Question 122167: rewrite the equation 2x-9y= -72 as a function of x
Click here to see answer by oscargut(2103)

Question 122147: solve and show the equation used for the solution.
The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
Click here to see answer by praseenakos@yahoo.com(507)

Question 122267: How would I solve this system by graphing, and what part of the graph would be shaded? Please show me a graph if possible. Thank you!
x + 2y < or = 3
2x - 3y < or = 6
Click here to see answer by jim_thompson5910(35256)

Question 122268: How would I solve this system by graphing, and what part of the graph would be shaded? Please show me a graph if possible. Thank you!
x - 2y > or = 4
x < or = 4
Click here to see answer by jim_thompson5910(35256)

Question 122269: How would I solve the following system of linear inequalities by graphing, and what part of the graph would be shaded?
3x + 4y < or = 12
x + 3y < or = 6
x > or = 0
y > or = 0
Click here to see answer by jim_thompson5910(35256)

Question 122271: How would I solve the following system of by graphing, and what would the coordinates be?
3x + y = 6
3x - y = 0
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Question 122151: Draw the appropriate graphs
A small firm produces both AM amd AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant's capacity is limited to ta total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
Click here to see answer by ankor@dixie-net.com(22740)

Question 122276: What would the coordinates be when solving this system by graphing?
3x + y = -1
9x + 3y = -3
Click here to see answer by praseenakos@yahoo.com(507)

Question 122277: What would the coordinates be when solving this system by graphing?

x + y = 3 x + y = -1
Click here to see answer by checkley71(8403)

Question 122319: I need to write the equation of the line that is perpendicular to the given line and passes through the given point. I am stuck and confused.
Here is the equation
y=-2x-1 (2,6)
Here is what I have
y=mx+b
6=-2(2)+b
6=-4+b
6+4=-4+b+4
10=b
y=1/2x+10
Click here to see answer by jim_thompson5910(35256)

Question 122316: I need to write the equation of the line that is perpendicular to the given line and passes through the given point. I am stuck and confused.
Here is the equation
y=-3x+5 (-1,4)
y=mx+b
4=-3(-1)+b
4=3+b
4-3=3+b-3
1=b
y=1/3x+1

Click here to see answer by jim_thompson5910(35256)

Question 122274: What would the coordinates be when solving this system by graphing?
3x + y = 6
3x + y = 0
Click here to see answer by algebrapro18(249)

Question 122275: What would the coordinates be when solving this system by graphing?
2x + y = 4
x + y = 3
Click here to see answer by praseenakos@yahoo.com(507)

Question 122275: What would the coordinates be when solving this system by graphing?
2x + y = 4
x + y = 3
Click here to see answer by algebrapro18(249)

Question 122318: Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form.
(7, -7), m = -3
Click here to see answer by checkley71(8403)

Question 122324: I need to write the equation of the line that is perpendicular to the given line and passes through the given point. I am stuck and confused.
Here is the equation
2x-4y=8 (-3,1)
This is what I have
2x-4y=8
-4y=-2x+8
/-4=/-4/-4
y=1/2x-2
y=mx+b
1=-1/2(-3)+b
1=3/2+b
1-3/2=3/2+b-3/2
1/2=b
y=-2x+1/2
Click here to see answer by kwobsi(2)

Question 122327: y=5-x
1=4x=3y
find solution
Click here to see answer by checkley71(8403)

Question 122392: Write an equation of the line that is parallel to the given line and passes through the given point.
y=3x-1, (0,2) Thank you
Click here to see answer by solver91311(24713)

Question 122363: How would I solve this system by graphing, and what would the coordinates be?
2x + y = 4
x + y = 3
Click here to see answer by algebrapro18(249)

Question 122428: graph the equation
y=-1/3x +4
Click here to see answer by jim_thompson5910(35256)

Question 122427: graph the equation
y=-1/3x +4
Click here to see answer by solver91311(24713)

Question 122368: Write the equation of the line passing through (3, 10) and (3, �3).

Click here to see answer by ddreamfox(6)

Question 122485: Please help I do not understand what graphing this at all. Thanks so much for any help given.
I am to graph the equation and identify the y intercept.
y + x = -3
Click here to see answer by ankor@dixie-net.com(22740)

Question 122431: 5. The director of a summer day camp estimates that 120 children will join if the camp
fee is $250, but for each $25 decrease in the fee, five more children will enroll.
A. Determine the linear equation that will represent the number of children who will enroll at a given fee. Hint: To write the slope, you need two points on the line. Show all work to receive full credit.
B. Graph the linear equation that represents the number of children who will enroll at a given fee.
C. Approximately how many students will enroll if the camp fee is $190? Round to the nearest child. Show all work to receive full credit.
D. Approximately how many students will enroll if the camp is free? Round to the nearest child. Show all work to receive full credit.

Attached file(s):

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

Question 122565: slope:2,y-intercept: -6
Click here to see answer by rapaljer(4671)

Question 122611: How would I graph x=3?
Click here to see answer by jim_thompson5910(35256)

Question 122613: Solve the following system of linear inequalities by graphing. 3x � y < 2
x + y > 2 please show me how to do this

Click here to see answer by stanbon(75887)

Question 122430: For a 2-day rental, a rental car agency charges a $40 fee per day plus $0.35 per mile.
The equation represents this model, where C symbolizes the total cost of
the rental, and x stands for the number of miles driven.
A. Find the y-intercept of this graph and explain what it means in the context of the problem. Show all work to receive full credit.
B. Explain the slope of the line within the context of this problem.
C. Graph the equation.

Click here to see answer by bucky(2189)

Question 122639: Can you show me a graph for the slope of these lines?
(a) 1/2
(b) -2
(c) -1/2
(d) 2
Click here to see answer by stanbon(75887)

Question 122654: graph y=5x-2
Click here to see answer by jim_thompson5910(35256)

Question 122657: graph 3x-1=5x-y
Click here to see answer by jim_thompson5910(35256)

Question 122658: graph y=|x|+3
Click here to see answer by jim_thompson5910(35256)

Question 122659: x+2=2x-1
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Question 122715: Write an equation in slope-intercept form for the line that is perpendicular to the line y = (-1/3)x + 4 that passes through the given point (-4,2). That is just one question. I have another question....
Write an equation in slope-intercept form for the line that is parallel to the line y = -4x + 5 and that passes through the given point (-8,5).
Click here to see answer by stanbon(75887)

Question 122741: Find the x - intercept
y = x squared + x - 6
Click here to see answer by Earlsdon(6294)

Question 122741: Find the x - intercept
y = x squared + x - 6
Click here to see answer by checkley71(8403)

Question 122756: I need help trying to solve this problem..you are trying to find the slope.
(1/12, 1/8) (3/7, 9/17)..THANKS!
Click here to see answer by stanbon(75887)

Question 122760: Find the x-intercept of y = x squared - 3x - 10

Find the axis of symmetry of y = -x squared - 6x + 2
Click here to see answer by stanbon(75887)

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