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

Tutors Answer Your Questions about Graphs (FREE)

Question 299079: -4-6x=20
Click here to see answer by checkley77(12844)

Question 299078: 3(4-x)=27
Click here to see answer by checkley77(12844)

Question 299251: what is the solution of the following linear system?
2y + 6x = -24
y - 13x = -12
a)(0,-12)
b)none
c)(0,3)
d) infinite number of solutions
Click here to see answer by Deina(147)

Question 299344: what is the x & y intersept of 8x+y=5
Click here to see answer by TX911(36)

Question 299350: Use the intercepts to graph the equation
-x + 4y = 8
Click here to see answer by algebrageek96(1)

Question 299457: graph the line through the point(-2,3)and having slope m=1/4
Click here to see answer by checkley77(12844)

Question 299497: how do you graph
12y-6x=18
Click here to see answer by checkley77(12844)

Question 299639: without graphing, find the vertex.
f(x) = -(x + 3)^2
a. (3, -7)
b. (3, 7)
c. (-3, -7)
d. (-3, 7)
Click here to see answer by jim_thompson5910(35256)

Question 299721: Find the slope of each line
1.Through (-4,6)and (-1,-2)
2.2x+y=10
3.A line parallel to the graph y-4=6

Click here to see answer by checkley77(12844)

Question 299931: "Determine the x-intercept and the y-intercept of the graph of each equation. Then graph the equation."
1.
-a. x + y = -2 (how to do this?)
-b. and how to graph it?

Click here to see answer by Fombitz(32388)

Question 299922: what is the x-intercept of the graph of the line 6x-8y=24
a. 2
b 3
c 4
d 6
Click here to see answer by checkley77(12844)

Question 299969: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work.
f(x) = 3x^2
Click here to see answer by josmiceli(19441)

Question 300027: How do you get the equation 6y+12y+4=0 into slope-intercept form, and what would the graph look like?

Click here to see answer by checkley77(12844)

Question 300169: Are the points (3,16) a solution to the inequality y>3x+2 ?
Click here to see answer by Alan3354(69443)

Question 300172: is (-1,0) a soulution for the inequality y is less then or equal to -x+4?
Click here to see answer by Alan3354(69443)

Question 300267: Jared earns money by making gifts baskets for Father's Day. He does one filled with fishing supplies and one with a sports fan theme. He makes a profit of $9.00 on the fishing supply basket and a profit of $12.50 on the sports fan baskets. He only has time to make 100 baskets and needs to earn at least $1,000 to cover his summer activites.
Which solution satisfies the system of inequalities?
a)70 fishing baskets and 30 sports fan baskets
b)73 fishing baskets and 27 sports fan baskets
c)72 fishing baskets and 28 sports fan baskets
d)75 fishing baskets and 25 sports fan baskets

Click here to see answer by richwmiller(17219)

Question 300271: how to solve the quantitative question 2x+3y-9x-xy+5xy
and plot the graph.
Click here to see answer by Alan3354(69443)

Question 300210: This is the problem that I have to do and I have never had algebra, could you help me understand what we are to do.
1) The following graph shows the depreciation for the corporate airplane from 2006 to 2009. The plane was purchased new in 2006; therefore, x = 0 represents the year 2006.
X � axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years
Y � axis (vertical) = price in $ amounts

a) List the coordinates of two points on the graph in (x, y) form.
(___, ___),(___, ___)
b) Find the slope (rate of depreciation) of this line:
Answer:

Show your work here:
c) Find the equation of this line in slope-intercept form.
Answer:
Show or explain your work here:
d) If the rate of depreciation continues at the present rate, what will be the plane�s value in the year 2017? Show how to use the equation from part c) to obtain your answer.
Answer:
Show or explain your work here:
2) Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
Answer:
b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.
Answer: Length ______, Width ______
Show your work here:
3) A marketing group developing online ad space is offering two payment options:
Option 1: $210 set up fee plus $10/inch of the ad
Option 2: No set up fee but $25/inch of the ad.
Let x = inches of the proposed ad, for example, x = 2 for a column ad that is 2� long.
a) Write a mathematical model representing the total ad cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many inches of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a. Summarize your findings in a brief sentence.
Answer:
Show your work here:
4) Use the graph of y = x2 + 4x - 5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the equation, , using only the graph.

Answer:
Explain how you obtained your answer(s) by looking at the graph:
b) Does this function have a maximum or a minimum?
Answer:
Explain how you obtained your answer by looking at the graph:
c) What are the coordinates of the vertex in (x, y) form?
Answer:
d) What is the equation of the line of symmetry for this graph?
Answer:

5) The profit function for Wannamaker Trophies is P(x) = -0.3x2 + fx - m, where f represents the design fee for a customer�s awards and m represents the monthly office rent. Also, P represents the monthly profit in dollars of the small business where x is the number of awards designed in that month.
a) If $60 is charged for a design fee, and the monthly studio rent is $1,500; write an equation for the profit, P, in terms of x.
Typing hint: Type x-squared as x^2
Answer:
b) How much is the profit when 50 award designs are sold in a month?
Answer:
Show your work here:

c) How many award designs must be sold in order to maximize the profit? Show your work algebraically. Trial and error is not an appropriate method of solution �
use methods taught in class.

Answer:
Show your work here:

d) What is the maximum profit?
Answer:
Show your work here:

6. Graph the equations on the same graph by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.
a) y = -2x + 7
Use the table; find at least 3 points using any values for x.
x y

b) y = x2 � 4x
Use the values of x provided in the table.
x y
0
1
2
3
4
c) Place your graphs here.

Click here to see answer by Fombitz(32388)

Question 300368: Find the slope intercept form of the equation of the line that contains the point (6,-4) and has the slope -3 using point- slope formula: y-y1= m(x- x1)?
Click here to see answer by Fombitz(32388)

Question 300376: Find the equation of the line that contains the points (3,1) and (5,-3) in slope intercept form.
Click here to see answer by Alan3354(69443)

Question 300453: Write the equation of a line with the slope of -2 which contains the point (3,6)
Show all work to receive credit for this problem.
Click here to see answer by JBarnum(2146)

Question 300811: How to solve and graph the quadraic function. Find the vertex, axis and is it wider or narrower than x^2
f(x)= 2x^2+8x+3
Click here to see answer by Edwin McCravy(20054)

Question 300812: pleas state the domain and range for this problem y=3(4) plus 6
Click here to see answer by Fombitz(32388)

Question 300883: find the equation for the line that passes through the point(-3,4) and that is parallel to the line with the equation y=-2/3x + 17/3
Click here to see answer by Alan3354(69443)

Question 301230: How do you solve a question that says find the rate of change for each linear function?
Eg: The cost of cheese varies directly with the number of pounds bough. If 2 pounds cost $8.40, find the cost of 3.5 pounds.

Click here to see answer by Theo(13342)

Question 301193: y=2x-5/1-3x^2
Click here to see answer by checkley77(12844)

Question 301462: x - 2y = 8
Click here to see answer by checkley77(12844)

Question 301521: What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?
A. y = 4x - 22
B. y = 4x + 22
C. y = 4x - 43
D. y = 4x + 43
Click here to see answer by Alan3354(69443)

Question 301528: How would you graph y = 2x - 2?
Click here to see answer by Alan3354(69443)

Question 301505: what is the x and y intercept of 3x+6y=18
Click here to see answer by rfer(16322)

Question 301735: Hi! What would be the three solutions of the equation y = -2x ?
Thank you for your help.
Click here to see answer by Fombitz(32388)

Question 301732: graph the line:
y=-2x-3
Click here to see answer by Fombitz(32388)

Question 301746: 6x+y=44
6x+7y=28
I do it this way correct:
6x+7y(44-6x)=28
6x=308-42x=28
48x+308=28
co efficient is 48
48x+308=28
48x-336
x=7
y=44 -6(7x)
44-42
y = 2
Click here to see answer by Fombitz(32388)

Question 301671: Find the slope (rate of depreciation) of this line- (0,240000) (2.5,216000.in (x, y) form? 2)Find the equation of this line in slope-intercept form.
3)If the rate of depreciation continues at the present rate, what will be the plane�s value in the year 2017? Show how to use the equation from part c) to obtain your answer.

Click here to see answer by richwmiller(17219)

Question 301875: Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solution
If the gazebo is made of wood, then the vine is growing on the gazebo.
The vine is not growing on the gazebo.
.
.. The gazebo is not made of wood.

Click here to see answer by richwmiller(17219)

Question 301890: ok how do you graph y = 5/6x + 4/3 and y = 3/5x + 9/5?
Click here to see answer by TX911(36)

Question 302083: graph c=30t+20
Click here to see answer by checkley77(12844)

Question 302129: 1. Evaluate the exponential equation for three positive values of x, three negative values of x, and x=0. Show the work. Use the resulting ordered pairs to graph. State the equation line asymptotic to the graph.

Click here to see answer by richwmiller(17219)

Question 302086: The following three points all lie on the graph of the same plan:
(-7,13) (1.2,__) (__,-4)
Two of the points have a missing coordinate. Find the missing coordinate. Explain how you found it.
Click here to see answer by richwmiller(17219)

Question 302251: Find the equation of a line that has point (-1, 2) and (2, -3). find slope, x and y intercept

Click here to see answer by london maths tutor(243)

Question 302460: y=6 divided by x
Click here to see answer by Alan3354(69443)

Question 302575: 3/8(5+6x
Click here to see answer by richwmiller(17219)

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