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

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Question 86192: sketch the graph of the parabola
Find (f-g)(-4) when f(x)= x+2 and g(x) = x-3

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

Question 86190: sketch the graph of the parabola
y=-5x(squared)

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

Question 86356: Graph the solution set of each of the following inequalities. Here are some examples of how to use text characters to do the graphing (we’ll be using only the following symbols: less than “<” (for the arrow pointing to the left), greater than “>” (for the arrow pointing to the right), dash (for light lines) “-“, equals (for heavy lines) “=”, plus “+” (for a point of interest), capital “O” (for a point that is not part of the solution), and asterisk “*” for a point that is part of the solution.
x < 1: <=====+===O----->
0 1

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

Question 86388: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the hundredth's place.

a) Show coordinates in this space.

Show work in this space.


b) Show graph here.

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

Question 86444: im having problems with my algebra.
can you help me with the solution to 3x-y=6
and 2x-y=8

Click here to see answer by scianci(186) About Me 

Question 86449: Hello, i was wondering if anyone could help me with this one problem. I did get an answer but i wasnt sure if i was right.
The worlds copper reserves were 950 million tons in 2004; total annual consumption was 16.8 million tons.
A- Assuming the copper consumption continues at the same level, write an equation for the remaining copper reserves, R , as a function of time, t (in years since 2004)
B-Find the intercepts and graph the function
C- what is the significance of the intercepts to the worlds copper supply?

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

Question 86458: Translate the following statements into inequalities. Let x represent the number in each case.
82) 2 times a number, increased by 28, is less than or equal to 6 times that number.

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

Question 86475: Hello I need to know how to complete:
Graph the equation y=x(squared) + 2
thanks

Click here to see answer by chitra(359) About Me 

Question 86467: How do i graph x=1
Click here to see answer by Edwin McCravy(20054) About Me 

Question 86495: Hello, I really need some help with this problem 3x - 4y - 12 < 0 Thank you in advance
Click here to see answer by tutorcecilia(2152) About Me 

Question 86483: An open-top box is to be constructed from a 4 foot by 6 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer:

b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here.

c) Using the graph, what is the value of x that will produce the maximum volume?
Answer.

Click here to see answer by Nate(3500) About Me 
Question 86483: An open-top box is to be constructed from a 4 foot by 6 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer:

b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here.

c) Using the graph, what is the value of x that will produce the maximum volume?
Answer.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 86557: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula,A=P(1+r/n)nt (nt is sq small letters ) , let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the hundredth's place.
a) Show coordinates in this space.
Show work in this space.


b) Show graph here.




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

Question 86559: Hi thank
you Cecilia, for the solution to my other problem, Here is another one I am not sure of: Use several points to graph. If f(x)= xsquared - 5x + 11. Find f(-3). I have an answer of 17, but am not sure. Thank you for your much needed help

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

Question 86566: Hi,
my final question is : Graph and shade,2x>-6y. What I did was plug in 1 for x and y and I got an answer of 2>-6, which is true. Again thank you for your help

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

Question 86605: Graph the solution set of each of the following inequalities. Here are some examples of how to use text characters to do the graphing (we’ll be using only the following symbols: less than “<” (for the arrow pointing to the left), greater than “>” (for the arrow pointing to the right), dash (for light lines) “-“, equals (for heavy lines) “=”, plus “+” (for a point of interest), capital “O” (for a point that is not part of the solution), and asterisk “*” for a point that is part of the solution.
x > 1: <-----+---O=====>
0 1
x > 1: <-----+---*=====>
0 1

74) 7(x – 3) > 5x – 14



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

Question 86691: Word problems get me so confused. Can someone point me in the right direction with these.
In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?

The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.

Click here to see answer by checkley75(3666) About Me 

Question 86692: I have been working on this one till my head hurts and I made myself more confused than needs to be.
A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?

Click here to see answer by checkley75(3666) About Me 
Question 86692: I have been working on this one till my head hurts and I made myself more confused than needs to be.
A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 86693: Ok stuck on this one.
Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?

Click here to see answer by scott8148(6628) About Me 
Question 86693: Ok stuck on this one.
Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?

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

Question 86669: Please help me with the following problems.
Solve the following system of linear inequalities by graphing.
x-2y>4
x<4 (under both greater/lesser signs, is a line)

Find the y-intercept
3x-y=-15
Are the following lines parallel, perpendicular, or niether.
L1 through (-4,-7) and (1,3)
L2 through (2,6) and (4,10)

Find the slope of the line passing through the points (11,20) and (8,2)
I would really appreciate some help and a possible step by step on how to works these. I am a slow learner with algebra.

Click here to see answer by Flake(45) About Me 

Question 86702: When there is only 2 I have no trouble but when 3 or more is added I get all messed up.
Solve each of the following systems of linear inequalities graphically.

3x-y<=6
x>=1
y<=3

Click here to see answer by Flake(45) About Me 

Question 86668: Please help me with the following problems.
Solve the following system of linear inequalities by graphing.
x-2y>4
x<4 (under both greater/lesser signs, is a line)

Find the y-intercept
3x-y=-15
Are the following lines parallel, perpendicular, or niether.
L1 through (-4,-7) and (1,3)
L2 through (2,6) and (4,10)

Find the slope of the line passing through the points (11,20) and (8,2)
I would really appreciate some help and a possible step by step on how to works these. I am a slow learner with algebra.

Click here to see answer by Flake(45) About Me 

Question 86615: In his television program, Notes from a Small Island, aired in February 1999. Bill discused the future of the British aristocracy. Because not all families produce and hier, 4 or 5 noble lines die out each year. At this rate, Bill says, if no more peers are created, there will be no titled families left by the year 2175.
A) Assuming that on average 4.5 titled families die out each year, write an equation for the number, N , of noble houses left in year t, where t =0 in the year 1999.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 86738: Write the equation 2=6x-3y in standard form.
Click here to see answer by checkley75(3666) About Me 

Question 86894: This is another one I don't undersrtand. In order to write the equation (in slope intercept form) of the line passing through the points (3,1) and (4,2)
I have to graph it right?
I need a step-by-step on that too.
Thanx


Click here to see answer by jim_thompson5910(35256) About Me 
Question 86894: This is another one I don't undersrtand. In order to write the equation (in slope intercept form) of the line passing through the points (3,1) and (4,2)
I have to graph it right?
I need a step-by-step on that too.
Thanx


Click here to see answer by dolly(163) About Me 

Question 86893: This is actually in preperation for a test on this chapter. I don't understand graphing and sloping real well. It's not the artithmatic that's the problem for me, it's remembering the formulas (step by step.
Here's an example:
Find the slope and the y-intercept of the line given by 4x-9y=15.
Can I get a step-by-step on how to solve this?
Thanx

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

Question 86987: Please help me graph this inequalitie on rectangular coordinate system.
y is equal to or greater than -x - 2

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

Question 87014: Help me graph this please.
y > 1/3x + 1

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

Question 87015: Find the equation of the line that passes through the point (1, -3) and is parallel to the line y = -2x + 4
Click here to see answer by jim_thompson5910(35256) About Me 

Question 87018: Sketch the graph of the following functions
h(x) = -x^2 + 2

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

Question 87016: Sketch the graph of the following function
f(x) = x^2 - 2

Click here to see answer by tutorcecilia(2152) About Me 

Question 87017: Sketch the graph of the following functions
g(x) = (x - 2)^3 + 2

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

Question 87097: write en equation for a slope intercept form that passes through (2,-6) and (1,3)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 87127: What are the slope and y-intercepts of x=-9?
Click here to see answer by Nate(3500) About Me 

Question 87153: Which number is closest to the slope of the line: 3y+2x-13=0

A. -2/3
B. 1
C. 1/4
D. 3/2

Click here to see answer by tutorcecilia(2152) About Me 

Question 87161: I'm not sure how you would graph this?
y>x+1
y<3/2x+3
graph their solution set?

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

Question 87184: A particular line has a slope of 3. Which pairs of points are possibly on the line?
A. (-2,3)and (0,6)
B. (1,4) and (3,8)
C. (-3,-4) and (0,2)
D. (2,-1) and (-1, -10)

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

Question 87192: A line has an equation of 2x-(2/3)y=4What is the slope and the y-intercept?
slope=-4/3, y-intercept =4
slope=2, y-intercept=-2/3
slope=3, y-intercept=6
sloope=-2, y-intercept=5

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

Question 87193: which of the points is on the line 3y-4x=7?
(-4,8)
(2,5)
(1,0)
(5,-2/3)

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

Question 87190: What is the equation of the line that includes the points (3,6) and (-1,-6)?
y=3x-3
y=(3/4)x+5
y=4x+1
y=2x+3/4

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

Question 87194: What is the equation of the line passing throughhe point (2,0)?
y=-2x-1
y=(1/2)x-1
y=x-4
y=3x+3

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

Question 87189: What is the slope of the line representing the following equation?
3y-4x=2
A. 4/3
B. -3/5
C. 1/8
D. -4/7

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

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975