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

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Question 55127: Find an equation of the containing the pair of points (0,7) and (5,2).
Click here to see answer by psbhowmick(878) About Me 

Question 55147: Please Solve. –3(x + 1) = 2(x – 8) + 3
–3(x + 1) = 2(x – 8) + 3 [Use the Order of Operations to solve (PEMDAS)]
-3x-3=2x-16+3 [Combine like-terms if possible]
-3x-3=2x-13 [Isolate all of the terms with variables]
-3x-2x=-13+3 [Combine like-terms]
-5x=-10 [Solve for x]
x=-10/-5
x=2

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

Question 55152: 28x – 2(10x – 0.365) = 7x + 0.035
Click here to see answer by checkley71(8403) About Me 

Question 55141: A long-distance phone call costs $0.96 for the first minute and $0.72 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $6.
Please,
Thank you :)

Click here to see answer by Hook(36) About Me 

Question 55151: Solve and graph the solution set. 3x > or = 7x + 20
Click here to see answer by funmath(2933) About Me 

Question 55187: what would -1/4 look like on a graph
Click here to see answer by stanbon(75887) About Me 

Question 55028: 2) In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and the maximum number of riders possible.
Graph:
Graph Type

What is the slope of the graph?

bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
Answer:
Show work in this space:



If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Answer:
Show work in this space:




3) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?
Answer:
Show work in this space.


b) How far have you traveled after 4 hours?
Answer:
Show work in this space.
c) How far have you traveled after t hours (i.e., write a linear function that expresses the distance traveled, d, as a function of time, t).
Answer:



d) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 3 hours?
Answer:
Show work in this space.
e) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 4 hours?
Answer:
Show work in this space.
f) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled t hours (i.e., write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t).
Answer:

Click here to see answer by Hook(36) About Me 

Question 55183: Mrs. Levy sells cookie bouquets. She can make no more than 15 bouquets in one week. Small bouquets sell for $25 and large bouquets sell for $55. If she prefers to make no more than 7 large arrangements a week, how many of each size should she sell to maximize her weekly sales?
the inequalitites i got were:
s+l<(or equal to)15
8s+7l<(or equal to)585
s>(or equal to)0
l>(or equal to)0


is that correct?

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

Question 55216: Solve the system by graphing, addition and substitution methods.
–4x + 7y = –10
x – 5y = 9

Click here to see answer by venugopalramana(3286) About Me 

Question 55215: Solve the system by graphing, addition and substitution methods.
3x – y = 1
3x – y = 2

Click here to see answer by venugopalramana(3286) About Me 

Question 55214: Solve the system by graphing, addition and substitution methods.
4x – 4y = –8
y = 2 + x

Click here to see answer by venugopalramana(3286) About Me 

Question 55256: how to graph an equation on graph paper?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 55397: The book is asking me to match a graph to an equation. How do I take y-4=-(3/2)(x+1) and read it as a graph? I see a graph that has a point at the coordinates (1,-4) and a different one at (-1,4). Please help!!! Thank you for any help you can provide. Thank you, thank you, and...thank you.
Click here to see answer by funmath(2933) About Me 
Question 55397: The book is asking me to match a graph to an equation. How do I take y-4=-(3/2)(x+1) and read it as a graph? I see a graph that has a point at the coordinates (1,-4) and a different one at (-1,4). Please help!!! Thank you for any help you can provide. Thank you, thank you, and...thank you.
Click here to see answer by Cintchr(481) About Me 

Question 55433: i have a graph thats y=f(x) the line starts in the right corner and runs through y1 and x1, the questions are:
1. explain why f represents the graph of a function?
2. use the graph to find a reasonable estimate of f(-2)
3. what is the domain of f?
4. what is the range of f?
thanks for your help..

Click here to see answer by Edwin McCravy(20054) About Me 

Question 55426: write the standard form of the equation of the circle with the given center
(-2, -4) and radius 6

Click here to see answer by funmath(2933) About Me 

Question 55535: Graph the functions
f(x)=-2x-5
McGraw Hill 6th edtion, chapter 7.5 exercise #22
Thanks for your time!!!!

Click here to see answer by funmath(2933) About Me 

Question 55559: Noya drives into the city for a show. Because of traffic, she averages only 15mph. On her drive home she averages 35mph. If her total time s 2 hours, how long does it take her to drive into the city?
Click here to see answer by Hook(36) About Me 

Question 55501: 2) In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and the maximum number of riders possible.
Graph:
Thanks for any help you may provide I don,t know how to graph this could you help please thank you tine

Click here to see answer by Hook(36) About Me 

Question 55674: question: solve each of the following systems by graphing
3x-6y=9
x-2y=3

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

Question 55671: question: solve each of the following systems by graphing
2x-y=4
2x-y=6

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

Question 55727: Are the quandrants of a graph numbered, and if so, are they numbered one through 4 using Roman numerals?
Click here to see answer by stanbon(75887) About Me 
Question 55727: Are the quandrants of a graph numbered, and if so, are they numbered one through 4 using Roman numerals?
Click here to see answer by funmath(2933) About Me 

Question 55784: QUESTION: SOLVE EACH OF THE FOLLOWING SYSTEMS BY SUBSTITUTION
5X-2Y=-5
Y-5X=3 I believe your substituting for the y

Click here to see answer by checkley71(8403) About Me 

Question 55792: wat is a box polt or a box graph
Click here to see answer by stanbon(75887) About Me 

Question 55796: Dear tutor,
I am a 15 year old student at Roane County High School, I have a comprehension problem with Math and do not understand it as easy as many others, and my teacher doesn't explain it well enough for me to understand. So if you could help me understand this Math problem and how to do it, it would be greatly appreciated. Now please understand that I can't use the signs that it has listed so I will just spell it out THANKS SO MUCH
Selena
Ok here are my directions- Write and inequality for this situation.
The U.S Postal service limits the size of the packages to those in which the length of the longest side plus the distance around the thickest part is less than or equal to 108 inches.
If you could help me understand that a little bit better it would be greatly appreciated!!!!

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

Question 55799: please help me to solve this question, the length of a rectangle is 2inches more than twice it's width. If the perimeter of the rectangle is 34 inches, find the dimensions of the retangle. I agains thank you in advance for your timely help
Click here to see answer by checkley71(8403) About Me 

Question 55801: QUESTION: SOLVE EACH OF THE FOLLOWING SYSTEMS BY SUBSTITUION
20. 8X-4Y=16 I BELIVE YOUR SUBSTITUING FOR Y
Y=2X-4
28. 4X-12Y=5
-X+ 3Y=-1

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

Question 55804: The Wilsons are remodeling their bathroom. A new vanity and sink will cost $151, the mirror and lights will cost $179.75, and a new tub with vinyl behind it will cost $191. The plumber will install everything and will charge a certain percent of the total cost of the material for his labor. What is the greatest percent the Wilsons can afford to pay to keep the total for material and labor less than $1000?
THANK YOU!!!

Click here to see answer by checkley71(8403) About Me 

Question 55808: find the midpoint of the line segment whith the given points
(2, 1), (6, 8)

Click here to see answer by checkley71(8403) About Me 

Question 55806: find the distance between the pair of points (-2 -6), (7, -3)
Click here to see answer by checkley71(8403) About Me 

Question 55809: This question seems to have me stummped, Im not sure exactly sure how to correctly solve it, is there any out there that can help me tackle this task?
The question is 8x-4y=16
y=2x-4
Thank your for your kindness and generosity in advance.

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

Question 55835: FIND THE VALUES FOR M AND B IN THE FOLLOWING SYSTEM SO THAT THE SOLUTION TO THE SYSTEM IS (-3,4)
5X+7Y=B
MX+Y=22

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

Question 55851: Please Help Slove -15<5x-5<=5
Click here to see answer by Cintchr(481) About Me 

Question 55842: Question: solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state wheter the system is dependent or inconsistant. The problem is
10x+2y=7
y=5x+3
Can someone help to solve this?

Click here to see answer by Cintchr(481) About Me 

Question 55868: find the distance between the pair of points
(-1, -4) and (-5, -7)

Click here to see answer by Cintchr(481) About Me 

Question 55844: ok this is the right problem now, please help to solve 3x-6y=9
x-2y=3
please solve by graphing, thank you in advance nightowl!

Click here to see answer by venugopalramana(3286) About Me 

Question 55873: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.


b) What is the equation for the line of symmetry for the graph of this function?
Answer:



c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.

Explanation of graphing.

d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:



Thank you tine

Click here to see answer by funmath(2933) About Me 
Question 55873: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.


b) What is the equation for the line of symmetry for the graph of this function?
Answer:



c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.

Explanation of graphing.

d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:



Thank you tine

Click here to see answer by venugopalramana(3286) About Me 

Question 55908: Can someone help me on this problem?
I need to find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4)
Thanks,
Sher

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

Question 55909: Can someone please help me with this problem?
I need to use the concept of slope to determine if the given figure is a parallelorgram or a rectangle.
I showed up above the page number and book, in case you have it.
I appreciate it.
Sher

Click here to see answer by funmath(2933) About Me 

Question 56013: Heather received grades of 80, 75, and 86 on three algebra tests. What must her grade be on the next test if her average for the four tests is to be at least 82?
Thank You!!! :)

Click here to see answer by Lacey020991(49) About Me 

Question 56001: Heather received grades of 80, 75, and 86 on three algebra tests. What must her grade be on the next test if her average for the four tests is to be at least 82?
Thank You!!! :)

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

Question 55986: QUESTION: SOLVE THE SYSTEM BY GRAPHING
X+Y=3
X+Y=-1

Click here to see answer by Lacey020991(49) About Me 

Question 55985: QUESTION: SOLVE THE SYSTEM BY GRAPHING
X+Y=4
-X+Y=2

Click here to see answer by Lacey020991(49) 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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