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

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Question 156280: 2. Form each of the following:
• A linear equation in one variable
• A linear equation in two variables
• A quadratic equation
• A polynomial of three terms
• An exponential function
• A logarithmic function

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Question 156282: 3. Plot the graph of the above equations formed in question 2, and post your response to the discussion forum.

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Question 156293: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
1. f(x) = 5x - 3

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Question 156294: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
2. f(x) = x2 - 3x + 2

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Question 156295: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.

3. f(x) = 2x3 + 7x2 - x - 1


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Question 156297: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.

4. f(x) = 10^x



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Question 156298: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.


5. f(x) = ln x




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Question 156326: graph the inequality
2x+5y>5




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Question 156376: solve he equation %282x-1%29%5E2=x%5E2-2
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Question 156376: solve he equation %282x-1%29%5E2=x%5E2-2
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Question 156371: factor the following expressions completely 24x%5E3-81, %283a-c%29%5E3-c%5E3, solve the equation for xz=x%2Fk-m%2Fk+
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Question 156582: 2. The coordinate graph of the backyard shows the location of trees, plants, the patio, and utility lines. (If necessary, you may copy and paste the image to another document and enlarge it.)
a) What are the coordinates of Tree A? Plant B? Plant C? Patio D? Plant E? Plant F?

b) The water line is given by the equation
.
Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point (-4,-10)?
c) What is the slope and y-intercept of the line in part b? How do you know?
d) Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
.
Complete the table for this equation.
x y (x,y)
-1
-2
-4
2
8
e) What objects might be in the way as you lay the pipe for the sprinkler?



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Question 156683: For the exponential function e^x and logarithmic function log x, graphically show the effect if x is doubled.
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Question 156688: I am not sure if I know what I am doing, I am taking an online algebra class. I am required to solve the following linear equations and graph result.
This is how thought it should be solved:
y=5x-2, 2+y=5x-2+2, 2+y/5=5x/5, 2+y=x
My other problem is how do I graph answer?

I did not include textbook information; our work is given my online professor.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 156700: Need to solve equation 3x-1=5x-y and graph results.
This is my attempt:
3x-1-5x = 5x-y-5x
-2x-1 = -y, do I do anything else or is this the answer?

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Question 156713: Equation to be solved is y=|x|+3 and graph results.
I understand that the absolute value of |x| is x; therefore the equation would be translated to y = x + 3. My question is is this as far as I go with the simiplyfing of this equation or is it more work to be done; and how do I graph.

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Question 156722: Hi, its me again! I would greatly appreciate if someone could help me graph the following equation. Thanks!
x+2=2x-1, 1+x+2=2x-1+1, -x+x+3=2x-x, 3=x

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Question 156855: how do i graph the circle, x^2 + 4y^2 =1
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Question 156855: how do i graph the circle, x^2 + 4y^2 =1
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Question 156911: Mr.O'Leary is 4 times as old as his son. In 16 years he will be only twice as old. What are theri ages. (Hint: If the son is x years old now, how old will he be in another 16 years?)
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Question 157104: the problem says to graph these two equations on the same graph & then find where they intercept. There are more questions to the problem, but I think I can figure them out if I first get the graph correct.
Equations: 1) y=5x
2) y=3x + 100

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Question 157104: the problem says to graph these two equations on the same graph & then find where they intercept. There are more questions to the problem, but I think I can figure them out if I first get the graph correct.
Equations: 1) y=5x
2) y=3x + 100

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Question 157253: i need help with solving a problem
-7/8 (this is a fraction) -7 x < 21
8 _

the problem states solve the inequality . write the solution in interval notation. NOTE The < has a line under it there was no way to put it in on the computer



solve the formula for the given variable
2)v=1/3 (pie symbol) r to the 2 h for h

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Question 157266: I need help please my teacher isn't very helpful, i really need help
Solve the inequality. Write the solution set in interval notation

1) -2/7 more than or equal to 2y/7 - 7/4


2) 7x + 16 is less than or equal to 8


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Question 157270: hi I need help please....
finding the area of the window of the camper shell please
Area=Length *Width
59 inch------------ across
14 inches down


2) solve the formula for the given variable
d= rt for t





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Question 157235: Calculate the value of the discriminant of x^2+4x+4=0 ,By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x=4 have? Why?
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Question 157276: Please help someone I need help really bad, i have been trying to fiqure this out for days and it is due tommorow night,, thanks...

SOLVE THE INEQUALITY.. WRITE THE SOLUTION SET IN INTERVAL NOTATION..

-2/7is greater than or equal to 2y/7 - 7/4...

2) 7x + 16 is less than or equal to 8

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

Question 157275: Hi i am trying to get help with finding the interval notation.
solve the inequality. write the solution set in interval notation..
-2/7 id greater than or equal to 2y/7 - 7/4?
i came up with 41/8 but how do i write it as interval notation?



2) 7x + 16 is less than or equal to 8 .. solve inequality and write the solution in interval notation..



3)4x-16=y, for x

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Question 157354: Solve the inequality and graph the solution.
3<2x<7

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Question 157718: Find the x-intercepts
y=x^2-4x-32
Make y=0 and factor
x^2-4x-32=0
(x-8)(x+4)
Set each one to zero
x-8=0
so x=8
x+4 = 0
so x= -4

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Question 156922: how do i graph this on a cordinate plane.?
4x < -20

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Question 157785: Determine whether the graph of 2 equations are perpendicular.
y=3X-7
4Y=3-x

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Question 157793: GRAPHING LINEAR FUNCTIONS USING THEIR SOLUTIONS
PROBLEMS
12X=3/2Y HOW DO I SOLVE IT?

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Question 157834: Find the slope of the line that passes through the pair of points
(1,7), (10,1)

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Question 157835: Write an equation of the line that is parallel to y= 3x-4 and passes through point (0,-3).
PLEASE HELP- Thanks!

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Question 157835: Write an equation of the line that is parallel to y= 3x-4 and passes through point (0,-3).
PLEASE HELP- Thanks!

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Question 157847: x+y=k;(2,5)
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Question 157854: Graph the equation and identify the y-intercept.
y+x+=-4
The y-intercept is ?

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Question 157855: Graph the equation and identify the y-intercept.
x+4y=8
The y-intercept is ?

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Question 157858: hey i need some help on how to graph these!
if you can help thanks! PLEASE.
Graph the equation :
y= -3

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Question 157858: hey i need some help on how to graph these!
if you can help thanks! PLEASE.
Graph the equation :
y= -3

Click here to see answer by jim_thompson5910(35256) About Me 
Question 157858: hey i need some help on how to graph these!
if you can help thanks! PLEASE.
Graph the equation :
y= -3

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Question 157860: Find the y-intercept and the x-intercept for the equation.
4x+3y=12
y-intercept is?
x-intercept is?

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Question 157864: hey you guys are great for doing this!!
please if you can help me.
Solve the equation :
3/7x + 5= 8

the / means a fraction.

Click here to see answer by edjones(8007) About Me 

Question 157856: The value, v, of a shopkeeper's inventory software program is given by
v= -1/3t+4, where t is the number of years since the shopkeeper bought the program. Plot the point with the given t-value, 6.
After 6 years, the program is worth $2.
Use the graph to answer the question. After how many years is the value of the software $3?
how many years???

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