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

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Question 205324: Hi all, I need to find out how find each of the following limits. I dont expect all the answers, but help on how to solve each woould be great.
a) lim x→3 3x^2-7x-6 / 2x^2+x-21
b) lim x→∞ 12x^4+5x+12 / 15x^5+14x-3
c) lim x→2 x-2 / sqrt(x+5) - sqrt(7)
Would really help me out.
Thanks, -Nick.
Click here to see answer by Edwin McCravy(20055)

Question 205328: The equation y=12x+5 shows the total cost for ordering tickets on the phone for a certain outdoor concert. Tickets are $12 each, with a one-time service fee of $5. Can the slope of this line be thought of as a rate? Explain.

I would say yes, because this is a flat fee for everyone, although if a person buys more than one ticket, then I am not sure. Thank you for any help you can give me with this.
Click here to see answer by J2R2R(94)

Question 205364: what is the slope intercept for 15y=10x+12
Click here to see answer by Alan3354(69443)

Question 205402: Write an equation that satisfies the condition stated.
Parallel to the line y=-4x+1
Thank you for your time and help.
Click here to see answer by user_dude2008(1862)

Question 205405: Suppose that someone said that the equation connecting points(-1,1) and (2,3) is y=2/3x+5/3. This person wants to know whether the line represented by this equation will contain point(6,9).Identify 2 ways by which this person can decide whether the graph contains the point.
Click here to see answer by user_dude2008(1862)

Question 205403: What happens to the value obtained for the slope if the coordinates of the two ordered pairs are not subtracted in the same order? Give an example of your explanation.
I would appreciate your help on this one.
Click here to see answer by scott8148(6628)

Question 205404: A designer created a garden from 2 concentric circles whose equations are as follows:
(x+2)^2+(y-6)^2=16 and
(x+2)^2+(y-6)^2=81
The area between the circles will be covered with grass. What is the area of that section?
Click here to see answer by Earlsdon(6294)

Question 205384: How would you graph (x-2)^2+y^2=5 and (y+2)^2-x^2=16
Click here to see answer by Earlsdon(6294)

Question 205575: How do you solve 2x+5>x+13
Click here to see answer by Alan3354(69443)

Question 205574: How do you solve 9x-14<-41 using addition and multiplication priciples?
Click here to see answer by checkley77(12844)

Question 205571: How do you sovle 5(3+4x)-5≥ 190
Click here to see answer by checkley77(12844)

Question 205569: How do you find the y-intercept of the equation -5x + y =3
Click here to see answer by checkley77(12844)

Question 205568: How do you graph (-2,5), (3,-1)
Click here to see answer by checkley77(12844)

Question 205567: How do you solve -7x>1/15
Click here to see answer by checkley77(12844)

Question 205596: The question is: Find an equation of a line parrallel to -3x-3y=5. I have no idea what to do. I thought I might need a graph but it doesn't say to use one. I don't know if i should add anything or subtract. HELP ME PLEASE!
Click here to see answer by stanbon(75887)

Question 205600: Starting with the graph of f(x) = 2^x, write the equation of the graph that results from reflecting f(x) about the y-axis. y = ?

Click here to see answer by RAY100(1637)

Question 205631: Media Service charges $40 for a phone and $30 a month for its economy plan. The equation c=30t + 40. What is the cost for two months of service?
If a customer has only $110 available how many months of service can she receive?
Click here to see answer by Targetweek(62)

Question 205634: an elderly wildbeest scents a lion and starts running away at 40mph. .02hours later (about 1 minute ) the lion starts running after the wildbeest at 50mph. presuming the lion and the wildbeest started from the same spot, how long will it take the lion to catch the wildbeest? use the 5 step process, also be sure to draw a distance and fill in a table to set up the problem.
i really hope you guys can help me with this problem !!! thank you!!!
Click here to see answer by Targetweek(62)

Question 205673: Solve by grahic. Indicate wheter each system is independent, dependent, or inconsistent.
y = 3x -4
y = -2x + 1
Click here to see answer by stanbon(75887)

Question 205674: how do I graph 2x-4y=8 using x and y intercepts?
Click here to see answer by Targetweek(62)

Question 205674: how do I graph 2x-4y=8 using x and y intercepts?
Click here to see answer by Theo(13342)

Question 205675: how would I graph and shade this equation appropriatly?: 5x=4y>18
Click here to see answer by Targetweek(62)

Question 205651: an adult male silverback gorilla weighs about 400 lbs. an adult male turtle can weigh about 8lbs. presuming a gorilla sat 1 ft. from the fulcrum, how far away would a turtle have to sit in order to balance the gorilla? be sure to use the correct formula and provide a check.
Click here to see answer by Alan3354(69443)

Question 205734: Use the graph to find the specified value.

Find the value of x when y is 5.
If this is possible to get help on this one, I would appreciate it...
Click here to see answer by rfer(16322)

Question 205710: How do I graph y=3sin and y=sini3x on the same axes. What would it look like labeled?

Click here to see answer by Alan3354(69443)

Question 205746: On June 17, the temperature in New York City ranged from 90� to 99�, while the temperature in Niagara Falls ranged from 60� to 69�. The difference in the temperatures in these two cities must be between
[A] 20� and 30� [B] 30� and 40� [C] 25� and 35� [D] 20� and 40�
Click here to see answer by Targetweek(62)

Question 205848: Solve the problem.
Give the equation of the line that is perpendicular to the line y = -3x + 7 and passes through point (0, -6).

Click here to see answer by nerdybill(7384)

Question 205847: Find the other endpoint of a line segment with the given midpoint and one endpoint.
Endpoint: ( 6, -1); Midpoint:
Click here to see answer by dyakobovitch(40)

Question 205897: Y=4/3x+2 how do you graph this and what is the Y-intercept?
Click here to see answer by checkley77(12844)

Question 205890: By looking at two linear equations, how can you tell that the corresponding lines are parallel?
How do you interpret the solution of a system of equations by the corresponding graph?

Click here to see answer by rfer(16322)

Question 206020: When making a long distance call from a certain pay phone, the first three minutes of a call cost $1.95. After that each additional minute or portion of a minute of that call costs $0.25. Use an inequality to find the number of minutes one can call long distance for $5.95.

Click here to see answer by rfer(16322)

Question 206119: 4. Write this equation in standard form using only integers. 2x/3 = -3y/4

Click here to see answer by stanbon(75887)

Question 206140: 2. Line l1 goes through (-1, -2) and (2, 2). What is the slope of any line perpendicular to l1?

Click here to see answer by Marth(57)

Question 206138: 1. Find the slope of the line that goes through points (3, -1) and (-1, -4)
Click here to see answer by Marth(57)

Question 206185: complete the two ordered pair solutions
4x-y=0 through (-1) and (0)
Click here to see answer by Alan3354(69443)

Question 206207: y=2(x+6)^2
Click here to see answer by Marth(57)

Question 206209: y=(x-1)^2+5
Click here to see answer by Marth(57)

Question 206283: Graph f : x- /x/+2 with domain D={-2,-1,0,1,2}
(the - after x is suppose to be an arrow and the // are suppose to be absolute value sign)
Click here to see answer by stanbon(75887)

Question 206312: Hi......Find the x- and y-intercepts of 4x + 3y = �12
Thank you
Click here to see answer by rfer(16322)

Question 206312: Hi......Find the x- and y-intercepts of 4x + 3y = �12
Thank you
Click here to see answer by Alan3354(69443)

Question 206341: Without graphing, identify the slope and the y-intercept for the line associated with each equation or table of values 5x+20y=60
I would honestly try but i just havent the clue as to how to figure these things out.
Click here to see answer by Alan3354(69443)

Question 206351: how do you graph y=-5/2x+3
Click here to see answer by stanbon(75887)

Question 206382: 3x-5y=-9
5x-6y=-8
graph?
Click here to see answer by stanbon(75887)

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