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

Tutors Answer Your Questions about Graphs (FREE)

Question 776090: Graph the following equation A=7.5t where t>0
Click here to see answer by sofiyac(983)

Question 776155: need the equation of the line that passes through the point (-2,-3) and has a slope of 5. Graphed please
just transferred to new school and teacher is not able to help
Click here to see answer by stanbon(75887)

Question 776176: For this equation, �6x � 3y < 18 what side is shaded?
Click here to see answer by sofiyac(983)

Question 776369: y=320-2x
Click here to see answer by tommyt3rd(5050)

Question 776410: solve the equation for y:
x^2+y^2=25
Click here to see answer by MathLover1(20849)

Question 776422: Graph a line that has a slope of -5 and y-intercept of 20/3.
Click here to see answer by stanbon(75887)

Question 776537: Write the standard form of the equation of the specified circle.
Center: (-4, 9); solution point: (-9, -3)
Click here to see answer by solver91311(24713)

Question 776761: How do you graph these inequalities in the coordinate plane? These are linear inequalities in Two Variables.
a.) -3x+5y>2 (> is greater than or equal)
b.) x-4y>-3
Kindly explain the solutions please. Thank you.
Click here to see answer by stanbon(75887)

Question 776802: A line passes through the point (-8,-7) and has a slope of 2 . Write an equation for this line.
Click here to see answer by Cromlix(4381)

Question 777160: determine the quadratic function f who vertex is 2,-1 and passes through 1,2 type the answer in ax^2+bx+c
Click here to see answer by lwsshak3(11628)

Question 777482: Graph system of inequality
x + y > 2
Click here to see answer by jim_thompson5910(35256)

Question 777482: Graph system of inequality
x + y > 2
Click here to see answer by stanbon(75887)

Question 777716: How do you graph y=3/5x-1?
Click here to see answer by nyc_function(2741)

Question 777736: Graph 3x+2y+6
Click here to see answer by jim_thompson5910(35256)

Question 777987: I am seeking instruction on the following : To solve and graph this equation..... -2x + 4y = 16 , and then graph it. Thank you . This is actually for my daughter ,and she has become frustrated as I am unable to help her over the phone . This looks like a tremendous service , much needed for my daughter now that she started Honors Algebra 2 !! Respectfully , Alan Sharkany
Click here to see answer by jim_thompson5910(35256)

Question 777998: How to graph: y=-(x-1)^2+1
Click here to see answer by rothauserc(4718)

Question 778153: how do you graph y= 2-x
please explain step by step
Click here to see answer by jim_thompson5910(35256)

Question 778293: Show that there is one point of intersection of the hyperbola y= 1/x-2, and the line y = -x.
Click here to see answer by lwsshak3(11628)

Question 778318: Given the polynomial F(x) = (1-X)(2x-5)(x+2)^2, sketch the graph of y=f(x), showing all intercepts with the axes.
Click here to see answer by josgarithmetic(39617)

Question 778289: Find the points of intersection of the graphs of y= 3x + 2, and y = 2x^2 + 11x +10, using pen and paper methods.
Click here to see answer by josgarithmetic(39617)

Question 778313: The population P(t) of a colony of fruit bats at time t years is given by P(t)=2500+10t^1.5 - (2000/20-t)
(a) For what values of t does the model give reasonable answers?
(b) Draw a sketch of graph of y=P(t) for these values of t.
(c) Find the size of the bat colony after 10 years.
(d) Find the maximum size of the colony.
Click here to see answer by psbhowmick(878)

Question 778315: Show that the equation of the line which passes through (0,6) and is a tangent to the graph of y=1/x is y=-9x+6, and find the point of intersection.
Click here to see answer by Edwin McCravy(20054)

Question 778418: Write an equation of the line parallel to the line given by -4x + 8y = 5 and having the same y-intercept as the line given by 4x - 3y = 0.
Click here to see answer by psbhowmick(878)

Question 778320: The power produced by a wind turbine was tested at different wind speeds and the results tabulated. It was known that there should be a cubic polynomial relationship between wind speed and power. From this data ,estimate the maximum power likely to be produced by this turbine, and the wind speed at which this occurs.
Wind velocity (m/s) 0 3 5 12 20 40 60
Power (KW) 0 1.2 4.5 20.3 41.2 45 33.8
Click here to see answer by ankor@dixie-net.com(22740)

Question 778038: the point (-2,3) is translated 4 units right and 2 units up. What are the coordinates of the new point?
Click here to see answer by sofiyac(983)

Question 778511: Determine the equation of the line passing through (2, -2) with an undefined (infinite) slope.
My attempt 1
x=2
y=0x+c
-2=0(2)+c
c=2+0
y=0x+2
My attempt 2
m=-2over2 for m=-1

y=-1x+c
-2=-1(2)+c
c=2-2
y=-1x+0
Thankyou :)
Click here to see answer by Alan3354(69443)

Question 778523: 1) Show that there are two points of intersection of the hyperbola, with equation y= -8/x and the line y= -2x + 6, and hence find them.
Click here to see answer by lwsshak3(11628)

Question 778524: 2) The number of fish in a pond, at one year intervals, is given in the table:
Time(years) 1 2 3 4
Number 34 60 78 84
After graphing the data, Brigitte determines that the function
Y=34.44 + 85.66 log10 x would accurately model the data, as the r2 value was 0.992.
a) Define the variables that Brigitte has used.
b) Verify that Brigitte�s model gives reasonable values for the fish population.
Another student, Louise , claims that a cubic function would more accurately model the data.
c) Why would she have chosen a cubic function?
d) Find the cubic model, with coefficients correct to 2 decimal places, and the r2 value.
e) Which model would be more suitable for long term modelling of the fish population? Justify your answer!

Click here to see answer by psbhowmick(878)

Question 778526: 4) Model the following data with a cubic polynomial, y=f(x). Give coefficients correct to 3 decimal places, and the value of r2
X 4 8 12 20 30
Y 13.59 12.36 9.912 9.048 35.34
Hence, find (a) F (0) & b) F(25) & (c) The value of X so that F(x) = 10 & (d) any local maximum or minima.

Click here to see answer by psbhowmick(878)

Question 778525: 3) A vertical line, with equation x=a, is drawn on the number plane on which the graphs of the functions y=log3 X and y= log3 (2x) are also drawn.
The vertical line intersects the log graphs in the points A and B respectively.
a) Sketch the graphs.
b) What values of a are allowed?
c) Show that the distance AB is constant, (that is, it is independent of a).

Click here to see answer by psbhowmick(878)

Question 778573: The number of fish in a pond, at one year intervals, is given in the table:
Time (years) 1 2 3 4
Number 34 60 78 84
After graphing the data, Bridget determines that the function
Y=34.44 + 85.66 log10 x would accurately model the data, as the r^2 value was 0.992.
a) Define the variables that Bridget has used.
b) Verify that Bridget�s model gives reasonable values for the fish population.
Another student, Louise, claims that a cubic function would more accurately model the data.
c) Why would she have chosen a cubic function?
d) Find the cubic model, with coefficients correct to 2 decimal places, and the r^2 value.
e) Which model would be more suitable for long term modelling of the fish population? Justify your answer!
''.
Click here to see answer by psbhowmick(878)

Question 778601: What is the distance between (2,4)and(7,-4)?
Click here to see answer by Tatiana_Stebko(1539)

Question 778801: Please help me in graphing the following:
1.)y=x-5
2.)-6x-2y=7
3.)x+3y>12
Find the x and y intercepts. then graph
4.)4x=6y-9
Please help! I have graphed all of them but i would like to check and make sure that i completed them correctly!Thank you!
Click here to see answer by psbhowmick(878)

Question 778973:
What are the coordinates of point A? on the graph
(6,4)
(-6,4)
(-4.6)
(4,6)
Click here to see answer by oscargut(2103)

Question 779133: What does Y-4=3x if Y=8
Click here to see answer by tommyt3rd(5050)

Question 779330: find an equation on the like that contains points (3, -6) and (-8, 2. write the answer in slope intercept form
Click here to see answer by MathLover1(20849)

Question 779492: Find the slope of x = -1
Click here to see answer by reviewermath(1029)

Question 779784: write an equation of the line which has the given slope and passes through the given point m= -5; (9,1)
Click here to see answer by jim_thompson5910(35256)

Question 779787: Hello tutor, what is the equation of a line that goes through the point (0,-2) with a slope of 4/3?
Click here to see answer by Cromlix(4381)

Question 779794: the question is: the slope of a line is 6 how much will x change if y increases 3 units?
Click here to see answer by oscargut(2103)

Question 780273: How would you answer f(x) = x to the second power - 3
Click here to see answer by stanbon(75887)

Question 780313: What is the vertex of the function x2 − 14x − 95 = 0?

Click here to see answer by solver91311(24713)

Question 780739: What is the graph of the equation y=4x-2 and what is the y intercept.
Click here to see answer by Alan3354(69443)

Question 780882: find the equation of a straight line that passes through the midpoint of (0 , 4 ) and (6 , 0) and has a gradient of -3
Click here to see answer by Cromlix(4381)

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