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

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Algebra: Graphs, graphing equations and inequalities

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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 36181This question is from textbook Algebra and trigonometry with analytic geometry

: Find an equation for the line with slope 1/2 and y-intercept 3.
I came up with 2x-y=3. Is this correct?This question is from textbook Algebra and trigonometry with analytic geometry

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(26297)

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(8405)

Question 36296This question is from textbook Algebra and trigonometry with analytic geometry

: 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.This question is from textbook Algebra and trigonometry with analytic geometry

Click here to see answer by stanbon(26297)

Question 36332:
find f^-1(x) if f(x) =2x-1
Click here to see answer by Nate(3495)

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(3495)

Question 36340This question is from textbook Algebra and Trigonometry with Analytic Geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic Geometry

Click here to see answer by ilana(236)

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(236)

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(3622)

Question 36491: graph the function and state the domain and range.
24. y=x-2
Click here to see answer by rapaljer(3622)

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(8405)

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(26297)

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(8405)

Question 36904This question is from textbook Elementary and intermediate algebra

: 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=-2This question is from textbook Elementary and intermediate algebra

Click here to see answer by checkley71(8405)

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(3013)

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(8405)

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(236)

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(1804)

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(1804)

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(1804)

Question 37273: Solve each of the following systems by substitution.
4x – 12y = 5
-x + 3y = -1
Click here to see answer by fractalier(1804)

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(1804)

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(1804)

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(1804)

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(1804)

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(236)

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(1804)

Question 37525: 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(1804)

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