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

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 35909: find the vertex for the equation y=-3(x-4)2(2 is an exponent) Click here to see answer by venugopalramana(3286)

 Question 36047: Find the vertex and focus of y=x^2+6x+7 and sketch it's graph. Click here to see answer by venugopalramana(3286)

 Question 36059: How do I work this equation, y= 1/x-2 if x= -2, -1, 0, 1, 2, 3? Click here to see answer by Prithwis(166)

 Question 36181: Find an equation for the line with slope 1/2 and y-intercept 3. I came up with 2x-y=3. Is this correct? Click here to see answer by Prithwis(166)

 Question 36263: make y the subject of the formula: ay+by=1 Click here to see answer by stanbon(57361)

 Question 36262: Hi I have no clue how to do this........The problem is....Graph : y=-5x-5 and I don't know what to do frist Click here to see answer by checkley71(8403)

 Question 36296: What formula do I use to find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4? I came up with the answer 2y=-3x+6 using y=x/2+K. My Gradient is -3/2 y=-3/2x + 6/2 2y=-3x + 6. Is this correct? Thank you for your help. Click here to see answer by stanbon(57361)

 Question 36331: (1) find the x- intercepts of the graph of f(x) =2x^2-4x-4. (2) find all the vertical asymptotes for g(x) = x^2-4/x+2 (3) find (x) if f(x) =3x-5 and g(x)x^2+1 Click here to see answer by Nate(3500)

 Question 36340: I usually give the work that I've done to make sure I did it right, but in this case, I don't know where to begin. Here goes... If f(x)=x^2 + 5, find f(a + h) - (a) Thank you. Click here to see answer by ilana(307)

 Question 36327: (1) find the midpoint of the line segment with endpoints of (-3, -4) and (6-9) Mid point = -3+6/2 and -4-9/2 = 3/2 and -13/2 are the midpoints (2) find the slope of the line passing through (-3,-4) and (6,-9). Slope of the line through the two point slope = y2-y1 / x2-x1 = -9+4/6+3 = -5/9 (3) write the slope intercept form of the equation of the line through (-2,3) that is perpendicular to the line x+3y=4. Click here to see answer by ilana(307)
 Question 36327: (1) find the midpoint of the line segment with endpoints of (-3, -4) and (6-9) Mid point = -3+6/2 and -4-9/2 = 3/2 and -13/2 are the midpoints (2) find the slope of the line passing through (-3,-4) and (6,-9). Slope of the line through the two point slope = y2-y1 / x2-x1 = -9+4/6+3 = -5/9 (3) write the slope intercept form of the equation of the line through (-2,3) that is perpendicular to the line x+3y=4. Click here to see answer by kirubakaran(5)

 Question 36371: Can someone tell me how to create a graph? I have no clue how to even set one up. I need to graph the inequalities. Thank you, Brenda :) Click here to see answer by kirubakaran(5)

 Question 36465: Can someone show me how to work this out and what the graph would look like f(x)=x^2+2 thanks Click here to see answer by cininnatus(12)

 Question 36409: Can anyone show me what the graph would look like for 3x-4y=-12 thanks!! Click here to see answer by rapaljer(4667)

 Question 36491: graph the function and state the domain and range. 24. y=x-2 Click here to see answer by rapaljer(4667)

 Question 36489: graph the function and state the domain and range. 28. y=sqrt x-2 Click here to see answer by cininnatus(12)

 Question 36531: 4) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Answer: Show work in this space. Click here to see answer by checkley71(8403)

 Question 36559: I have a graph of f(x) and I have to translate it to I know that the 2 makes it move left 2, and the 6 makes it move up 6, and I know that the 1/2 makes it shrink by half, but I just don't understand how to make it shrink. Can you please help me? Thanks, Jamie :) Click here to see answer by stanbon(57361)

 Question 36530: Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 • 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2). • v0 is the initial velocity (how hard do you throw the object, measured in feet per second). • s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0. a) What is the function that describes this problem? Answer: b) The ball will be how high above the ground after 1 second? Answer: Show work in this space. c) How long will it take to hit the ground? Answer: Show work in this space. d) What is the maximum height of the ball? Answer: Show work in this space. Click here to see answer by venugopalramana(3286)

 Question 36769: PLEASE HELP ME ASAP!!!!!!!!! WHAT WOULD THE GRAPH LOOK LIKE FOR THE FOLLOWING PROBLEM: 5X-2Y>0 CAN ANYONE HELP ME WITH THIS? I'VE POSTED THIS PROBLEM 2 TIMES ALREADY AND I HAVEN'T HAD ANY HELP ON IT. THANKS! Click here to see answer by cininnatus(12)

 Question 36850: How do you graph |x|<3 on a number line? Click here to see answer by martinr(6)
 Question 36850: How do you graph |x|<3 on a number line? Click here to see answer by oxoxhazleyesoxox(1)

 Question 36868: -6x+9>3 what does the graph look like for this? Click here to see answer by martinr(6)

 Question 36879: Sue has \$3.50 of dimes and nickels. If she has 50 coins, how many of each type of coin does she have? Click here to see answer by checkley71(8403)

 Question 36904: Solve each system by the substitution method. 4x-5y=-2 3y-x=-3 ---------------------------- 4x+5y=-2 4y-x=11 ------------------------------ 2x+y=9 2x-5y=15 ---------------------------------- 3y-x=0 x-4y=-2 Click here to see answer by checkley71(8403)

 Question 36875: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is consistent or dependent. x + 5y = 10 -2x-10y=-10 Click here to see answer by venugopalramana(3286)

 Question 36874: Find values for m and b in the following system so that the solution to the system is (-3,4). 5x + 7y = b and mx + y = 22 Click here to see answer by venugopalramana(3286)

 Question 37115: Please help me out with this one! I've been stuck on it for a while now. Please show all work. I would greatly appreciate any help. A)Find the equation for the axis of symmetry. B)Find the coordinates of the vertex. Click here to see answer by josmiceli(9686)

 Question 37172: Write an equations in slope-intercept form of the line satisfying the given conditions. Passes through (5,4) and (6,-1) and slope= 1/3 and passes through (-2,8) and last question of the day, parralel to the graph of 9x+ 3y=6. Please email me if you get the answer to any of these. Thanks again. Click here to see answer by checkley71(8403)
 Question 37172: Write an equations in slope-intercept form of the line satisfying the given conditions. Passes through (5,4) and (6,-1) and slope= 1/3 and passes through (-2,8) and last question of the day, parralel to the graph of 9x+ 3y=6. Please email me if you get the answer to any of these. Thanks again. Click here to see answer by zman0652(1)

 Question 37190: Write an equation in slope intercepth form of the line satisfying the given conditions. Please explain how you got your anwer. Thank You. Parallel to the graph of 9x+3y=6 and passes through (5,3) Click here to see answer by ilana(307)

 Question 37228: Where on the graph of 3x-y = 12 are the x and y coordinates opposites of each other? I started out by y = mx + b and changed the equation to y = 3x - 12 but i am stuck from there Click here to see answer by jcmtnez(53)

 Question 37357: Write an equation in standard form of the line satisfying the given conditions. #1. Passes through (1,-4) and (-6,8). #2. Passes through (7,-3) and has a y-intercept of 2. please explain how you got the answers to these problems. Thank You. Click here to see answer by venugopalramana(3286)

 Question 37364: Solve the following system by graphing. 2x - y = 4 2x - y = 6 Click here to see answer by fractalier(2101)

 Question 37359: Please help i have no clue how to do either of these problems. Given f(x)=x^2+3x-2, find f(2) and Given h(x)=4x+8, find 4[h(-3/4)]. Thanks for the help, and please explain how to do these problems. Click here to see answer by fractalier(2101)

 Question 37358: Please help i have no clue how to do either of these problems. Given f(x)=x^2+3x-2, find f(2) and Given h(x)=4x+8, find 4[h(-3/4)]. Thanks for the help, and please explain how to do these problems. Click here to see answer by fractalier(2101)

 Question 37273: Solve each of the following systems by substitution. 4x – 12y = 5 -x + 3y = -1 Click here to see answer by fractalier(2101)

 Question 37399: There is no book for this problem. This is a problem asked by the professor. Please help. 1) An open-top box is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. Answer: b) Graph this function and show the graph over the valid range of the variable x.. Show Graph here. c) Using the graph, what is the value of x that will produce the maximum volume? Answer. Click here to see answer by fractalier(2101)

 Question 37362: What is the situation when two linear inequalities have no solution? And what conditions need to be satisfied for a system of linear inequalities to have its solution in the first quadrant? Thank You :) Click here to see answer by fractalier(2101)

 Question 37361: Is there a difference between solving a system of equations by the algebaraic method and the graphical method? Thank you!:) Click here to see answer by fractalier(2101)

 Question 37417: The Graphs of ax+by=13 and ax-by=-3 instersect at (1,4). Find a and b. Click here to see answer by fractalier(2101)
 Question 37417: The Graphs of ax+by=13 and ax-by=-3 instersect at (1,4). Find a and b. Click here to see answer by ilana(307)

 Question 37493: Need help with the following: Determine whether the graph of y = |x| + 1 is symmetric with respect to the x-axis, the y-axis, or the origin (or none). Click here to see answer by venugopalramana(3286)

 Question 37526: Sally bought three chocolate bars and a pack of gum and paid \$1.75. Jake bought two chocolate bars and four packs of gum and paid \$2.00. Find the cost of a chocolate bar and the cost of a pack of gum. Click here to see answer by fractalier(2101)

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