Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Algebra: Linear Equations, Graphs, Slope

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Question 240356: need help in graphing f(x)=e^(2-x)
Click here to see answer by Alan3354(6059)

Question 240330: Hello,
I have several things that I need help with. I need to see all of the steps to help me work future problems out. I am grateful for your help! This algebra has been mind boggling after being out of school for 32 years.

1. Graph the equations by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.
a). y = -½ x + 3
Use the table; find at least 3 points using any values for x.
x y
-2
0
4
b). Use the values of x provided in the table.
x y
0
1
2
3
4

2. The cost function for the Recklus Hang gliding Service is C(x) = 0.4x2 - fx + m, where f represents the average fuel cost for a customer’s daily excursion and m represents the monthly hanger rental. Also, C represents the monthly cost in dollars of the small business where x is the number of flight excursions facilitated in that month.
a). If $60 is estimated to be the average fuels cost (f), and the monthly hanger rental is $3,000; write an equation for the profit, P, in terms of x.
Typing hint: Type x-squared as x^2
b).What is the cost when 40 flight excursions are sold in a month?
c). How many flight excursions must be sold in order to minimize the cost? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.
d). What is the minimum cost?

Thanks so much for helping me. I am taking this class on-line and I am having problems grasping this subject.
Best Regards,

Click here to see answer by Alan3354(6059)

Question 240679: 1. A line passes through (2, –1) and (8, 4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Click here to see answer by ankor@dixie-net.com(6691)

Question 241080: graph each system of inequalities or indicate that the system has no solution?
x+y>2
y<1
x>0
Click here to see answer by nyc_function(260)

Question 241081: solve each system of linear equations by elimination
2x+5y=7
3x-3y=-21
Click here to see answer by nyc_function(260)

Question 241066: I am working with functions and their graphs I have a problem I am trying to solve I can get some of it but I'm not coming up with the correct answer can you please help.
(2,9); x=8y=7
I can get to this and then I am lost
y-9=-1/8x +2
Click here to see answer by checkley77(7035)

Question 241016: Can you solve each system by addition.
x+y=7
x-y=9
Click here to see answer by unlockmath(108)

Question 240850: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point.
4y=x;(4,0)
Click here to see answer by ankor@dixie-net.com(6691)

Question 240838: 1.
Find the slope and y-intercept of the line.
15x + 9y = –27
(the possible answers are)
-slope is 5/3; y- intercept is 3
-slope is -5/3; y-intercept is -3
-slope is -5/3; y- intercept is -1/3
-slope is -3/5; y-intercept is -3
3.
Find the x- and y-intercept of the line.
–7x + 6y = 84
• x-intercept is –12; y-intercept is 14.
• x-intercept is 14; y-intercept is –12.
• x-intercept is –7; y-intercept is 6.
• x-intercept is 6; y-intercept is –7.

Click here to see answer by checkley77(7035)

Question 240851: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point.
5x-2y=10;(3,-5)
Click here to see answer by checkley77(7035)

Question 240852: how do you write an equation in slope-intercept form given two points
Click here to see answer by checkley77(7035)

Question 240854: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point.
y=7;(2,4)
Click here to see answer by solver91311(5072)

Question 240840: Find the equation of the line that passes through the point (-2, 13) and is perpendicular to y = -2/5x + 3.
Click here to see answer by solver91311(5072)

Question 240825: find the slope. throug (4,-2) and parallel to x=1
Click here to see answer by Edwin McCravy(2920)

Question 240794: I'm actually in Algebra 1, but we're talking about parallel and prependicular lines. The question says to write an equation in slope-intercept form for each line according to given information.
Contains (3,-5) and is parallel to 5x-2y=10
Click here to see answer by vleith(1977)

Question 240792: Hello,
Please help me with the following. I am having a difficult time!

1. In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x)=4x^2+8x+1
The vertex is? (Type an ordered pair)
Thanks!!
Click here to see answer by stanbon(26252)

Question 240761: put the equation 5x-7y=9 into slope intercept form
Click here to see answer by rapaljer(3610)

Question 240695: Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1)
Click here to see answer by nyc_function(260)

Question 240680: relationship shown by the data linear? If so, model the data with an equation.

x y
–9 –2
–5 –7
–1 –12
3 –17

Click here to see answer by checkley77(7035)

Question 240681: 4. The table shows the height of a plant as it grows.
a. Model the data with an equation.
b. Based on your model, predict the height of the plant at 12 months.

Time (months) Plant Height (cm)
3 9
5 15
7 21
9 27

Click here to see answer by checkley77(7035)

Question 240651: A line joins the points (-2,4) and (- 1, 1). The coordinates of the point
where the line intersects the x-axis are:
A. (0,-2); B. (-2,0); C. (-3/2,0); D. (-2/3,0); E. none
Click here to see answer by checkley77(7035)

Question 240656: The points (6,12) and (0,-6) are connected by a straight line. Another point
on this line is:
A. (3, 3); B. (2, 1); C. (7, 16); D. (−1,−4); E.none
Click here to see answer by checkley77(7035)

Question 240584: A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test?
A. 85
B. 86
C. 87
D. 92
E. 93

Click here to see answer by unlockmath(108)

Question 240592: linear equation with one variable

50-x-(3x+2)=0

x=12
anyone know can explain why the answer to this linear equation is 12 with a full break down thank you
Click here to see answer by unlockmath(108)

Question 240492: the problem is to complete the table of oredered pairs for the equation and plot the ordered pairs for 3x+2y=6. They gave us for the first one x is 0 secord y is 0, the third x is 1, the fourth was y is 3.
What I came up with was
(o,3) (2,o) (4,3) I am not sure if I did it right.
Click here to see answer by checkley77(7035)

Question 240508: Okay, my homework says you have to create a table, and graph the coordinates for this equation... x+y=1
I know how to se up the table, but I don't know how to solve the equation because of the y number!!

Click here to see answer by scott8148(3382)

Question 240526: what is the y-intercept of the line that contain the data point?
Click here to see answer by solver91311(5072)

Question 240461: An orange contains about 80 milligrams of vitamin C, which is 10 times as much as an apple contains. Write and solve an equation to find the amount of vitamin C in an apple.
Click here to see answer by checkley77(7035)

Question 240465: write an equation for the line satisfying the given conditions:slope= -4,y-intercept=3
Click here to see answer by edjones(3291)

Question 240482: Write an equation in slope-intercept form with the given slope that contains the given point.
slope=-1/2;(-3,4)
Click here to see answer by checkley77(7035)

Question 240482: Write an equation in slope-intercept form with the given slope that contains the given point.
slope=-1/2;(-3,4)
Click here to see answer by Alan3354(6059)

Question 240395: How do I solve y = 2/3x + 1 (2/3 is a fraction)
Click here to see answer by checkley77(7035)

Question 240417: if you have the corridents (1, 6) (4,r) and m=3 how do you find r
Click here to see answer by checkley77(7035)

Question 240418: y = x-2
Click here to see answer by checkley77(7035)

Question 240459: Find an equation of the line passing through each pair of points (-6, 0) and (9, -8).Write the equation in the form Ax=By=C.
Click here to see answer by Alan3354(6059)

Question 240459: Find an equation of the line passing through each pair of points (-6, 0) and (9, -8).Write the equation in the form Ax=By=C.
Click here to see answer by solver91311(5072)

Question 240419: if you have the corridents ( 1, 6) ( 4, r) and m=5 how do you find r
Click here to see answer by solver91311(5072)

Question 240077: How do you write an equation in standard form for the line whose slope is undefined that passes through (5, -3)?
Thank you.
Click here to see answer by College Student(203)

Question 240128: How do I graph y > -2x + 3?
Click here to see answer by solver91311(5072)

Question 240109: What is the slope of a line parallel to the graph of the equation 4x-8y=1?
Click here to see answer by College Student(203)

Question 240131: Can two intersecting lines have the same slope? Why or why not?
Click here to see answer by College Student(203)

Question 240129: Can two different lines have the same slope? Why or why not?
Click here to see answer by College Student(203)

Question 240093: 2x-7+6x=57 x=
-54=-7x+x+6 x=
x+2+7x=18 x=
2x+9=x+14 x=
10+2x=-4x+46 x=
2(1x+8)=4 x=
-4x-7=-4+x x=
5(2+6x)=10 x=
3(7-6x)=-123 x=
Click here to see answer by College Student(203)

Question 239970: solve the system of equations using the addition method
2x-3y=4
3x-5y=4
Click here to see answer by checkley77(7035)

Question 239978: So I need help with a word problem. I am pretty sure that i have to write it in y=mx+b form but I'm having a lot of trouble. I've only gotten as far as solving for slope but thats about it. Here it is.
After being in business for a year, you discover that you are selling more boxes then you expected. you find that this is due to a larger base of customers. You find for the last several months you have consistently sold 325 boxes of markers at $23.50 per box. You continue to assume that if you charge $30 per box that you will sell 0 boxes. Use (23.5, 325) and (30,0) to find the new linear demand function.
Click here to see answer by solver91311(5072)

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