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

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Question 926602: Use the intercept method to graph the equation.
2x=-6-3y
Click here to see answer by MathLover1(20849)

Question 926607: Graph the equation.
x = 3/2
Click here to see answer by Alan3354(69443)

Question 926601: Use the intercept method to graph the equation.
- 5x = 20 - 4y
Click here to see answer by Alan3354(69443)

Question 926595: Graph the equation. (Hint: Solve for x first.)
x + 4 = 0
Click here to see answer by Alan3354(69443)

Question 926649: Find the slope m of the line.
http://www.webassign.net/mapleplots/9/1/bd6aae99e2224633ac051ed6fa960d.gif
Click here to see answer by Alan3354(69443)

Question 926680: Find the slope m of the line
http://www.webassign.net/waplots/7/c/17cc61341062288626e82362bc4893.gif
Click here to see answer by Alan3354(69443)

Question 926831: Use the point-slope form to write an equation of the line with the given slope and point. Then write the equation in slope-intercept form.
Slope -5, passes through (-9, 8)

Click here to see answer by ewatrrr(24785)

Question 926841: Sketch the graph for the following function
f(x)= -3x(x+2)^2 (x-4)^3
Click here to see answer by ewatrrr(24785)

Question 926853: what is a equation for the line with slope 2/3 and y intercept 9?
Click here to see answer by ewatrrr(24785)

Question 926851: Find each function value. See Examples 3 and 4.
4
g(x) = x + x
(a)
g(1)

(b)
g(-3)

(c)
g(0)

(d)
g(10)

the 4 that is above the x is x to the 4th
Click here to see answer by ewatrrr(24785)

Question 926834: In the report "Expenditures on Children by Families," the U.S. Department of Agriculture projected the yearly child-rearing expenditures on children from birth through age 17. For a child born in 2010 to a two-parent middle-income family, the report estimated annual expenditures of $10,808 when the child is 6 years old, and $14,570 when the child is 15 years old.
(a) Using the above information, write the two ordered pairs of the form (child's age, annual expenditure). (Let c represent the child's age and y represent annual expenditure.)
(c, y) =
(c, y) =

(b) Assume the relationship between the child's age c and the annual expenditures y is linear. Use your answers to part (a) to write an equation in slope-intercept form that models this relationship.

(c) What are the projected child-rearing expenses when the child is 16 years old?

Click here to see answer by ewatrrr(24785)

Question 927046: Hello,
First off thank you in advance for helping me. My teacher asked me to take this question home and turn it in the day before thanksgiving. This is what we are working on in school. Thanks again.
The slope of a line is m = 2/3. One of the points on the line is (4,-1). Find the equation of the line and present in slope-intercept form.

Why is it useful to write equations in slope-intercept form? What was the form that you used to find the initial equation? What do you need in order to find this equation, could you find an equation with just two points?
Click here to see answer by richard1234(7193)

Question 927142: 18. Determine whether the graphs of 2y �8x = 16 and y = � x -5 are parallel, perpendicular, or neither. Explain.
Click here to see answer by Fombitz(32388)

Question 927134: 8.Find the equation of the line passing thru (4, -6) and parallel to the line 2x �3y = 9.

Click here to see answer by Fombitz(32388)

Question 927135: 9. Find the equation of the line perpendicular to the line 2x �3y = 9 thru the point (4,6)

Click here to see answer by ewatrrr(24785)

Question 927143: 10. A new company is producing ant farms. They had a start-up fee of $200 and have supplies that cost $5 per ant farm. Write a linear equation that shows the cost for this new company creating a farms.
11. Using a table, find the cost to produce 8 farms, 10 farms and 12 farms. You will need to graph this below. Scale each axis.
12. Using your graph, find the cost to produce 20 and 22 of these ant farms.
13. What does the y-intercept in this specific problem tell you?
14. What does the slope indicate for this specific problem?
15. Write this equation for the cost in function notation. Find f (100).

Click here to see answer by stanbon(75887)

Question 927133: 7. Find the slope of the line passing thru these points
a. ( -2, 4) and ( -4, 8)
b. (3 , 5) and ( -5, -5)

Click here to see answer by Alan3354(69443)

Question 927140: 19. In 1995, there were 33.8 million cellular subscribers in the U.S.In 1999 there were 86 million.
a. Let x = 5 represent 1995 and x = 9 represent 1999. Find the average rate of change in the number of subscribers in the US.
b. Write a linear function that models the number of cellular subscribers in the US.
c. Interpret the average rate of change and the y-intercept using a complete sentence and be specific to this problem.
d. According to your calculations, how many cellular subscribers will there be in2012?
e. Is this a good estimation? Why or why not.

Click here to see answer by ewatrrr(24785)

Question 927132: Graph each equation. Construct a table of at least three values.
a. y = -x2-4
b. y = x-4
c. 3y = 6 x cubed -3

Click here to see answer by ewatrrr(24785)

Question 927137: 10. A new company is producing ant farms. They had a start-up fee of $200 and have supplies that cost $5 per ant farm. Write a linear equation that shows the cost for this new company creating a farms.
11. Using a table, find the cost to produce 8 farms, 10 farms and 12 farms. You will need to graph this below. Scale each axis.
12. Using your graph, find the cost to produce 20 and 22 of these ant farms.
13. What does the y-intercept in this specific problem tell you?
14. What does the slope indicate for this specific problem?

Click here to see answer by TimothyLamb(4379)

Question 926184: Maximize:
C = 3x + 4y
Constraints:
x + y ≤ 10
� x + y ≤ 5
2x + 4y ≤ 32
Click here to see answer by Fombitz(32388)

Question 927241: How would I graph this?
y= -4x-4
y=5x+5
when I solve it, I get (-1,0) But that is saying it's wrong
Click here to see answer by ewatrrr(24785)

Question 927553: How do I find the m and b of the equation y=-6x and graph it using rise and run?
Click here to see answer by Alan3354(69443)

Question 927553: How do I find the m and b of the equation y=-6x and graph it using rise and run?
Click here to see answer by rfer(16322)

Question 927555: How do I find m and b in the equation x=-6
Click here to see answer by josgarithmetic(39617)

Question 927781: What kind of sequence is the graph of this equation�
y=2 ^ x-1 (two to the power of x minus one)
Click here to see answer by MathLover1(20849)

Question 928035: Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.
Click here to see answer by josgarithmetic(39617)

Question 928083: Y=2x+6
Click here to see answer by ewatrrr(24785)

Question 928270: find the roots for:
xx + 6 x + 8 = 0
Click here to see answer by TimothyLamb(4379)

Question 928270: find the roots for:
xx + 6 x + 8 = 0
Click here to see answer by MathTherapy(10552)

Question 928395: how can i solve for y and state the slope and y intercept
y=-5/2x-5

Click here to see answer by Alan3354(69443)

Question 928527: Graph f(x)=-5x^2
Click here to see answer by ahenkemeyer(12)

Question 928528: Graph f(x)=-1/9x^2
Click here to see answer by ahenkemeyer(12)

Question 928524: graph f(x)=1/13x^2
Click here to see answer by ahenkemeyer(12)

Question 928523: Graph f(x)=18x^2
Click here to see answer by ahenkemeyer(12)

Question 928608: y= -x+3
and y= 4x -2
Click here to see answer by TimothyLamb(4379)

Question 928708: graph y=-2x+1
Click here to see answer by jim_thompson5910(35256)

Question 928660: Solve the following systems of inequalities using the graphing method,shade the solution set?
1. x≥5;y<3
Click here to see answer by Fombitz(32388)

Question 929132: The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of −0.3. See the figure below.
http://i.gyazo.com/edc311720eb8262dac67f4dcc2eb3f86.png
Suppose that the height of the candle after 15 hours is 24.5 centimeters. What was the height of the candle after 8 hours?
- - -
I get that the question is asking for 8 hours after the start of the burning, not 23 hours, but I just don't understand how to apply the slope here.
Click here to see answer by josgarithmetic(39617)

Question 929199: 7. find the slope of the line passing thru these points
a. (-2,4) and (-4,8)
b. (3,5) and (-5,-5)
Click here to see answer by Alan3354(69443)

Question 929193: 13. Determine whether the graphs of 2y-8x=16 and y=1/4x-5 are parallel, perpendicular, or neither. explain
Click here to see answer by TimothyLamb(4379)

Question 929201: 8. find the equation of the the line passing thru (4,-6) and (-3,5)
9. find the equation of the line with a slope of 0 and passing through the point (8,-6)
Click here to see answer by TimothyLamb(4379)

Question 929321: construct a table of values with at least 3 points. graph and state the slope, y-intercept, and x- intercept
c. 2x=-5
d. y=1/2x-5
Click here to see answer by MathLover1(20849)

Question 929197: graph each equation. construct a table at least three values.
a.) y=-x squared-4
b.) y=|4-x|
c.) 3y=6x cubed-3
Click here to see answer by Fombitz(32388)

Question 929617: A water-skiing instructor recommends that a boat puling a beginner skier have a speed less than 18 miles per hour. Write and solve an inequality that you can use to find the possible distances d (in miles) that a beginner can travel in 45 minutes of practice time.
Click here to see answer by jim_thompson5910(35256)

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