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

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Question 209092: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x+3y=6 and passing though (-3,5)
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Question 209028: How do you graph 2x+10>-5y
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Question 209132: y=2/3x - 1
y= -x + 4

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Question 209164: A subway train makes six stops of equal lenght during its 21 km run. The train is actually moving for 20 min of the trip. At most how long can the train remain at each station if the average speed for the trip, including stops is to be at least 36 km/h? show work.
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Question 209199: (-3-4),(-5,r), m =-9/2 i need to find the value of r
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Question 209258: How do you graph 0-9x=0
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Question 209258: How do you graph 0-9x=0
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Question 209287: Graph the line
2x - 3y = -6

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Question 209421: how do I find the slope of 3x-y=4 with out solving for y?
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Question 209421: how do I find the slope of 3x-y=4 with out solving for y?
Click here to see answer by RAY100(1637) About Me 

Question 209456: How do you solve this equation? 5-6(2t-3)=2(5-t)+3
Thank you so much for your help.

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Question 209598: How do you plot points on a graph using f(x)= x^3
Click here to see answer by Alan3354(69443) About Me 

Question 209581:
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Question 209749: I'm helping my son with his homework. He has to also graph his answer on a number line. The question is
y is greater than or equal to -1 or y is greater than or equal to 3

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Question 209747: Graph 3x+4y=-12
Click here to see answer by jim_thompson5910(35256) About Me 

Question 209800: Why does the equation y=(0.5)^x not have an x- intercept, using algebra?
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Question 209800: Why does the equation y=(0.5)^x not have an x- intercept, using algebra?
Click here to see answer by vleith(2983) About Me 

Question 209822: Can I get someone to help me with this one?
Find the intercepts and then graph the equation:
60 = 20x - 3y

Click here to see answer by Earlsdon(6294) About Me 

Question 209841: I have to write an equation for a line that passes through the point (0,-4) and is perpendicular to the line: y=-1/4x-3. I have tried many ideas, but they don't equal the point or that equation.
Click here to see answer by tutor_paul(519) About Me 

Question 209945: Without graphing, find the line of symmetry. The answer is either A,B,C,or D. I
got Vertex: (-4,9)
f(x) = -(x + 4)2 + 9

A)x = 9
B)x = 16
C)x = 5
D)x = -4

Click here to see answer by stanbon(75887) About Me 

Question 209958: Im totaly lost on my 8th grade math homework. It says *For each equations in Exercises 18-21, give two values for x for which the value of y is negative.*
For 18. y=-2x-5
19. y= -4
20. y=2x-5
21. y=3/2x-1/4

Click here to see answer by stanbon(75887) About Me 
Question 209958: Im totaly lost on my 8th grade math homework. It says *For each equations in Exercises 18-21, give two values for x for which the value of y is negative.*
For 18. y=-2x-5
19. y= -4
20. y=2x-5
21. y=3/2x-1/4

Click here to see answer by vleith(2983) About Me 

Question 209955: 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.
f(x)= 1/4x^2

I came up with
f(x)=(1)/(4)*x^(2)
y=(1)/(4)*x^(2)
y=(x^(2))/(4)
y=a(x-h)^(2)+k
a=(1)/(4)_k=0_h=0
The vertex of a parabola is (h,k).
Vertex: (0,0)

Click here to see answer by Earlsdon(6294) About Me 

Question 209941: Without graphing, find the vertex. The answer is either A,B,C,or D.
f(x) = -15/2 (x - 15)2 + 2
I came up with Vertex: (-450x,0, but this is the wrong answer.
A)(0, 2)
B)(15, -15)
C)(15, 2)
D)(2, 0)

Click here to see answer by stanbon(75887) About Me 

Question 210214: Express as a single logarithm.
logc x + logc y
A)logc
B)logc x ∙ logc y
C)logc xy
D)logc (x + y)

Click here to see answer by user_dude2008(1862) About Me 
Question 210214: Express as a single logarithm.
logc x + logc y
A)logc
B)logc x ∙ logc y
C)logc xy
D)logc (x + y)

Click here to see answer by stanbon(75887) About Me 

Question 210226: 4.9(3.7x+1.4)=34.7x
answer must be in fraction form

Click here to see answer by jim_thompson5910(35256) About Me 
Question 210226: 4.9(3.7x+1.4)=34.7x
answer must be in fraction form

Click here to see answer by stanbon(75887) About Me 

Question 210295: Hi all, Im having trouble with the following Function and Domain problem. I have already asked and been given responses and answers for questions a) and b) but was hoping to get some help with the c) questions. (See below)
The function f is defined by y = f(x) = 2 ln 4x, 0:01 <= x >= 1.
(a) Solve for x in terms of y, and hence and the formula for the inverse
function f^(-1)(x). Answer: y = (1/4)e^(x/2)
b) Write down the domain of f^(-1) Answer: Since the Range of y = 2*ln(4x) is f(0.01) which is -6.438 < y < 2.7726 the Domain of f^-1(x) is -6.438 < x <= 2.7726
c) Plot f from x = 0:01 to x = 1 and then plot f^(-1) on the same axes but only for domain values of x given by the range of f.
Help with c would be most appreciated.
-Nick.



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Question 210363: how do i graph Y=|x-1|?
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Question 210378: Hi,
I'm having a little difficulty completing my project for algebra. Here's my question........
In a plotted graph, the x-axis represent weight and the y-axis represent miles. What would a slope of -13/22 mean?

Is it for every 13 miles decreasing the weight decreases by 22 pounds??????

Click here to see answer by vleith(2983) About Me 

Question 210405: why is line x=4 a vertical line?
Click here to see answer by Earlsdon(6294) About Me 
Question 210405: why is line x=4 a vertical line?
Click here to see answer by stanbon(75887) About Me 

Question 210483: y=-3x+1
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Question 210468: Find the coordinates of y=0, x=o, and x + 2y= 8
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Question 210588: please help me solve this problem. y is equal to 3 more than the absolute value of x; x= -2,-1,o,1 and 2
Click here to see answer by stanbon(75887) About Me 

Question 210590: y=6|x-7|
graph the function
tell whether the graph opens up or down, and tell whether the graph is wide, narrow or the same
i got it opens up and it is narrow

Click here to see answer by Alan3354(69443) About Me 

Question 210738: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph.. State the equation of the line asymptotic to the graph (if any).
y = 3(x - 4)

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Question 210737: Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).


y= log5x

I came up with these general numbers, not sure if they would work or exactly how to graph it.
(125, 3)
(25, 2)
(5, 1)
(1, 0)

Click here to see answer by tutor_paul(519) About Me 

Question 210801: I go to school in Buna, Texas. We do not have an Algebra book. We use work pages that are copied from a book. I really can use the help. My TAKS math teacher says she doesn't know how to work these problems.

1. 2z + 7 < z + 10

12. 1/2(2t+8) > or = to 4 + 6t
18. 3.4 + 1.6v < 5.9 - 0.9v
41. 3/4d - 1/2 < or = to 2 1/2

Click here to see answer by Alan3354(69443) About Me 

Question 210802: solve what is the solution set for 5y-11<4y-10
Click here to see answer by tutor_paul(519) About Me 

Question 210805: solve what is the solution set y-8>-11
Click here to see answer by checkley77(12844) About Me 

Question 210789: Can someone show me the steps to solve this problem...PLEASE!!
Solve each inequality.Graph the solution.
-7k < 63

Click here to see answer by Alan3354(69443) About Me 

Question 210882: Please help me solve the following equation: (((f(x)=-x^2+4x+5)))
The question does not come out of the book. I am told to find the vertex, the line of symetry, the max or min value of the quadratic function and graph the function.
Thanks Missy

Click here to see answer by stanbon(75887) About Me 

Question 210976: pls show y = 1/3x and what is the y-intercept of equation, the 1/3 is in fraction form equation
Click here to see answer by Earlsdon(6294) About Me 

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