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

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Question 117459: Graph the system of constraints. Then find the values of x and y that maximize A=20x+30y and list the maximum value.
x greater then or equal to 0
y greater then or equal to 0
-2x+4y less then or equal to 4
x less then or equal to 4
Click here to see answer by Fombitz(32388)

Question 117454: I am afraid I am doing the following problem wrong. Please help
The problme is......find the equation for the folowing lines and then graph them using any graphing utility.
(A) Perpendicular to x+2y=10, and passing through the point (1,1)
I thought I was supposed to first solve for x and y which I got y=5 and x=10.....WHen I graph that i get a straight line passing throu (1,1).
Can you please help? THank you!!!
Click here to see answer by Fombitz(32388)

Question 117466: how do you write the equation lines through the given points?
(2,4) (5,7)
Click here to see answer by jim_thompson5910(35256)

Question 117483: Solve and graph the solution set. 3x is less than or equal to 7x + 20
Click here to see answer by jim_thompson5910(35256)

Question 117502: please help
how do you write the equation of a line through the given point with the given slope?
(6,-6) m=-7/3
Click here to see answer by jim_thompson5910(35256)

Question 117489: Given f(x) = 5x2 � 3x + 1, find f(�2).
Click here to see answer by jim_thompson5910(35256)

Question 117484: Graph 3x + 2y = 6.
Click here to see answer by Fombitz(32388)

Question 117588: Jude's OQ score is more than 15 points away from Sherry's. If Sherry scored 110, then in what range is Jude's score?
Click here to see answer by josmiceli(19441)

Question 117630: i really need help
how do you write an equation of a line that contains the given point and is parrallel to the given line??
(4,1) y=3X-2
please help me
Click here to see answer by jim_thompson5910(35256)

Question 117421: graph each system of equations. One solution, no solution or many solutions
show graph
x-y=3
x-2y=3
Click here to see answer by checkley71(8403)

Question 117636: Y+X=3
Click here to see answer by checkley71(8403)

Question 117655: Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Problem: Slope -2, Y intercept (0,4)
Click here to see answer by jim_thompson5910(35256)

Question 117656: Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Problem: Slope 5; y intercept (0,-2)
Click here to see answer by jim_thompson5910(35256)

Question 117657: Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Problem: slope 2/3; y intercept (0,-2)
Click here to see answer by jim_thompson5910(35256)

Question 117661: write and equation in point slope form for a line parallel to y=5x-8 and goes through the point (-2,7).
Click here to see answer by sofiyacherni(99)

Question 117674: Write the equation of the line L satisfying the given geometric conditions
Problem:
L has y-intercept (0, -3) and is parallel to the line with equation
y = 2/3x + 1

Click here to see answer by solver91311(24713)

Question 117675: Business and finance. In planning for a new item, a manufacturer assumes that
the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by stanbon(75887)

Question 117681: This is not from a book.
Graph f(x) = -x - 2.
Thank you for your help!
Click here to see answer by stanbon(75887)

Question 117672: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
Problem: (2, -3) and (2, 4)
Click here to see answer by stanbon(75887)

Question 117670: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
Problem: (-1, 3) and (4, -2)
Click here to see answer by jim_thompson5910(35256)

Question 117664: Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4).
Click here to see answer by jim_thompson5910(35256)

Question 117663: Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Problem: Slope -3/4; Y intercept (0,8)
Click here to see answer by jim_thompson5910(35256)

Question 117662: Write and equation in point-slope form for a line perpendicular to y=2/3x+1 and goes through the point (8,-4).
Click here to see answer by jim_thompson5910(35256)

Question 117688: This data represents the population of a certain geographic region.
Year Population (in millions)
1950 34
1960 38
1970 43
1980 47
1990 50
2000 55
a) Draw a line graph for the data.
b) Use the line graph to predict the population in the year 2010.

Click here to see answer by stanbon(75887)

Question 117704: How do you find the vertex of this quadratic equation?
y=x^2+6x+8
Click here to see answer by josmiceli(19441)

Question 117755: Solve the inequality and graph the solution
x - 5 < 3
Click here to see answer by jim_thompson5910(35256)

Question 117754: Solve the inequality and graph the solution.
y - 3 > or equal to 5
Click here to see answer by jim_thompson5910(35256)

Question 117759: solve
-6 < or equal to 3 + x < 4
Click here to see answer by jim_thompson5910(35256)

Question 117757: solve inequality and graph solution
5x < or equal to 20
Click here to see answer by jim_thompson5910(35256)

Question 117756: solve the inequality and graph the solution
2x + 7 > 5
Click here to see answer by jim_thompson5910(35256)

Question 117700: can you please solve and graph the solution set of the following inequalities
3x > 2x-4 underline under the >
Click here to see answer by jim_thompson5910(35256)

Question 117773: Solve the following system of linear inequalities by graphing.
3x + 4y <= 12
x + 3y <= 6
x >= 0
y >= 0
Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 117660:
Technology. Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by checkley71(8403)

Question 117770: 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. Then graph the system of inequalities.
I do not understand this at all. Please help me with writing the system of inequalities number one and then if you could explain how to graph the system.
Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 117859: A long distance phone call costs $0.70 for the first minute and $0.39 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $4. Do not solve the inequality.
Click here to see answer by stanbon(75887)

Question 117861: 1. solve and graph the solution set on a number line
x+10>4
2. write the inequality in words. x<5
Click here to see answer by jim_thompson5910(35256)

Question 117914: FIND THE LENGTH OF EACH SIDE OF A RECTANGLE SO THAT IT HAS THE GIVEN PERIMETER.
2X-5 TOP
X SIDE

P=50 IN.

2x-5 = length
x = width
Perimeter = 2L + 2W
50 in = 2L + 2W
Plug in the algebraic expressions in terms of x for L & W:
50 = 2(2x-5) + 2(x)
50 = 4x -10 + 2x
Combine like terms
50 = 6x -10
Add 10 to both sides of the equation:
50+10 = 6x -10 + 10
60 = 6x
Divide both sides by 6 to get the value fo x.
60/6 = 6x/6
10 in = x (width)or (SIDE)

Plug this value into the equation for the top.
2(10) -5
20-5 =15 in (TOP)

Click here to see answer by misscrt(37)

Question 117949: i need help now
Click here to see answer by stanbon(75887)

Question 117965: Graph the equation below using the indicated method.
y= -2/3x +4 by graphing 3 points.

Click here to see answer by MathLover1(20849)

Question 117966: Graph the equation below using the indicated method.

y= x - 3 by graphing 3 points

Click here to see answer by checkley71(8403)

Question 117665:
27. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).
28. Geometry. For the floor plans given in exercise 27, determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18).
Can you help me solve for #28 please
Click here to see answer by checkley71(8403)

Question 118010: Help: A roof rises 9.75ft over ahorizontal distance of 17.24ft. What is the slope of the roof to the neares hundredth?
Click here to see answer by stanbon(75887)

Question 118017: Write the equation of the line that passes through point (-2,3) with a slope of -4
Please help
Click here to see answer by jim_thompson5910(35256)

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