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

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Question 1001146: Make a table represent the function g(x) = |x-3|; D = {-2,-1,0,1,2}
Click here to see answer by fractalier(6550)

Question 1001295: I am studying for a elementary algebra test. I have some problems. Can you help/

Click here to see answer by rothauserc(4718)

Question 1001326: I need to find the x intercept and the y intercept of the graph of the equation.
-4y + x = 8
Click here to see answer by Boreal(15235)

Question 1001310: What is the equation of the line that passes through (-3,-1) and has a slope of 3/5? Write the answer in slope intercept form.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1001467: What is y= 3-x coordinate pairs ?
Click here to see answer by Alan3354(69443)

Question 1001631: (4,7) and is perpendicular to the Y axis

Click here to see answer by ikleyn(52778)

Question 1001714: -3x-2y=6
Click here to see answer by fractalier(6550)

Question 1001699: X-Y=2. X+Y=244
Click here to see answer by fractalier(6550)

Question 1001681: |x+4|≥ 2
Click here to see answer by fractalier(6550)

Question 1001733: diferentiate with respect to x:f(x)=4x+3
Click here to see answer by Fombitz(32388)

Question 1001759: graph of the linear equation 2x − 3y = 6
Please show work.
Click here to see answer by Boreal(15235)

Question 1001758: 4. Which of the following choices describes the range of the relation below?
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5)}
A. {1}
B. {1, 5}
C. {1, 2, 3, 4, 5}
D. {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5)}
E. none of the above
Please explain how you came to answer.

Click here to see answer by MathLover1(20849)

Question 1001667: What is each piece of information telling about the function exactly?
The function has these properites:
f(0) = 0
f'(1) = 0
lim x->∞ f(x) = 0
lim x->-∞ f(x) = 0
lim x->-1 f(x) = ∞
f'(x)>0 on (-∞,-1)U(1,∞)
f'(x)<0 on (-1,1)
f"(x)>0 on (-∞,-1)U(-1,3)
f"(x)<0 on (3,∞)
Please explain these have an exam and I need to know how to construct a graph from this information.
Thank you

Click here to see answer by jim_thompson5910(35256)

Question 1001832: Graph each linear equation
y = x - 9
Click here to see answer by solver91311(24713)

Question 1001902: . Take a piece of string, no more than 40 cm long, and tie the ends together to make it into a loop. Use your thumbs and fingers to make a rectangle with the string. Hold it over a piece of graph paper to make right angles (so that you can see the size of your rectangle. Use the units on your graph paper to measure the length l and width w of each rectangle. Record the measurements to the nearest tenth of a centimeter (or if your ruler only has inches, use inches for the entire exercise). Complete the first two columns in the table that follows. You will need to make five rectangles for this activity. Be sure to include rectangles where the length is greater than the width and where the width is greater than the length.
Length (l) Width (w) Area (A)
7.5 cm 3.5 cm 26.25 cm
3 cm 8 cm 24 cm
4.5 cm 6.5 cm 29.25 cm
3.5 cm 7.5 cm 26.25 cm
8.5 cm 2.5 cm 21.25 cm
3. Graph the length and area of each rectangle (length on the horizontal axis and area on the vertical axis)
6. How long is your loop of string? Write an expression for the width of any rectangle in terms of the length of your string.
My loop is 12 cm long and the string is 24 cm long
7. Write a function for the area of any rectangle in terms of the length

8. Graph the function on the same coordinate plane you used in #3.

9. Does your graph match the function exactly? If not, explain why.

10. Find the vertex of the graph of the area function in #7. What is the meaning of the vertex?

Click here to see answer by Theo(13342)

Question 1001922: Graphing x-y<2

Click here to see answer by Edwin McCravy(20054)

Question 1001962: Given the two lines
� 2x − y = −8
� x + 2y = 10
determine which of the following best describes their relationship to each other.
A. parallel
B. perpendicular
C. congruent
D. skew
E. none of the above
Please explain.

Click here to see answer by MathLover1(20849)

Question 1002000: y≤1-3x
Can you graph this?
Click here to see answer by jim_thompson5910(35256)

Question 1002007: Find the x-intercepts of y = a(x − 6a) 2 − 4a 3 in terms of a.
Click here to see answer by josgarithmetic(39617)

Question 1002130: (2, -2) and (0, 7)writing the equation in y=mx+b form
Click here to see answer by Alan3354(69443)

Question 1002214: For a man to box as a welterweight he must weigh more than 140 lbs but at most 147lbs
Please help

Click here to see answer by jim_thompson5910(35256)

Question 1002279: Graph each linear equation
7x + 2y = 5
Click here to see answer by josgarithmetic(39617)

Question 1002279: Graph each linear equation
7x + 2y = 5
Click here to see answer by mananth(16946)

Question 1002277: Solve each problem by writing a linear function
Luke's motorcycle has a 4.5 gal gas tank and uses 1.4 gal to travel 63 miles. At what rate is the gasoline consumed (in gal/mi)? Write a linear function, G, that models the number of gallons left in the tank after he travels M miles, assuming the tank was full when he started. How many gallons are left in the tank after he travels 180 miles.
Click here to see answer by josgarithmetic(39617)

Question 1002276: Solve each problem by writing a linear function
The enrollment at Green Mountain Christian School is increasing at rate of 18 students per year. If the enrollment was 226 in the fall of 2011, write a linear function that models the enrollment. Use your function to predict the number of students enrolled in the fall of 2031.
Click here to see answer by josgarithmetic(39617)

Question 1002372: Write the equation of the parabola described below in VERTEX FORM.
vertex at open parentheses negative 3 comma space 2 close parentheses and passes through open parentheses negative 5 comma space negative 8 close parentheses
Click here to see answer by Boreal(15235)

Question 1002424: Y <= -2x + 4
Click here to see answer by fractalier(6550)

Question 1002453: Find the equation of the line that passes through (5,2) and (7,-8)
Click here to see answer by MathLover1(20849)

Question 1002509: Write an equation in slope- intercept form of the line that passes through the given points. (2,6) and (-4,-2)

Click here to see answer by Boreal(15235)

Question 1002505: Graph each system.
3𝑥−4𝑦≤6
𝑦≥1

Click here to see answer by mananth(16946)

Question 1002665: Consider the function. F(x)=-7x+4
a.) Find the inverse of f(x) and g(x). Show and explain work
b.) Draw the graphs of f(x) and g(x) on the same coordinate plan. Explain how your graph shows that the function are inverses of each other.
Click here to see answer by Boreal(15235)

Question 1002685: How do I graph y >= 3x/4 + -3/2 ?
Click here to see answer by josgarithmetic(39617)

Question 1002718: Solve the following system of equations by graphing.
x-y=2 and x+y=8
Click here to see answer by MathLover1(20849)

Question 1002784: Solve the following system of equations by graphing
-3x-2y=0
3x-y=18
Click here to see answer by mananth(16946)

Question 1002854: it has been said that newspapers are disappearing, replaced by various electronic media. the average circulation of newspapers in the United States y, in millions, from 2003 to 2007 can be modeled by the equation y= -1.9 x + 59, where x represents the number of years after 2003.
a. find the x-intercept of this equation(round to the nearest tenth)
b. what does this x-intercept mean?
Click here to see answer by Cromlix(4381)

Question 1002850: find the area of the rectangle whose vertices are the points with coordinates (5,2),(5,-6),(0,-6),(0,2)
Click here to see answer by Cromlix(4381)

Question 1002884: Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so:
8x-2y=16
4x=y+8
Click here to see answer by MathLover1(20849)

Question 1002882: Solve the following system of equations by graphing
x+2y=2
2x+4y=20
Click here to see answer by Fombitz(32388)

Question 1002883: Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so
9x-2y=7
18x-4y=14
Click here to see answer by MathLover1(20849)

Question 1002880: Solve the following system of equations by graphing
-3x-2y=0
3x-y=18
Click here to see answer by MathLover1(20849)

Question 1002937: ) Given the linear equation: 5x-2y=10
a) Convert the equation to slope-intercept form. State the slope of the line and the y-intercept as an ordered pair.
Please explain and show answer.

b) Use the slope and the y-intercept to graph the line represented by the equation.
Please explain and show all work.
Click here to see answer by stanbon(75887)

Question 1002994: -y=-7x+32 how do you put this into a slope intercept form? and same with this one 7y+42=-14x? also how do you sketch a graph of each line with questions like these y=-3x-3? and y=4 and y=x+1?
Click here to see answer by Boreal(15235)

Question 1003047: I need help solving this inequalitiy -2(x+8) less than or equal to -10
Click here to see answer by rfer(16322)

Question 1003056: 3x-6 < 3
Click here to see answer by MathLover1(20849)

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