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

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Question 740152: factor the gcf 60x-10
Click here to see answer by MathLover1(20849)

Question 740302: "Write the equation of the line that satisfies the given condition: contains the point (-1,1) and is parallel to the line x+2y=3."
I'm not sure how to go about this one. Any way I could get clear step by step help with the problem?
Thank you.
Click here to see answer by mananth(16946)

Question 740301: "Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form without any fractions.
(-2,5),(5,-3)."
I am not familiar with graphiing methods and graphing equations. I can't imagine how to take the ordered pairs and come up with an equation. Any step by step help would be greatly appreciated. Thank you.
Click here to see answer by mananth(16946)

Question 740297: graph 2x +4y =8 using x- and y- intercepts
Click here to see answer by mananth(16946)

Question 740336: Hi, doing some homework and got caught up on this part:
"A family plans a 360 mile trip. Let y=time traveled in hours and x=average speed in miles per hour. What is the equation that expresses the relationship between time traveled (y) and average speed (x)?"
Thankyou!

Click here to see answer by rothauserc(4718)

Question 740466:
The nile river is 394 kilometers longer than the amazon river. The two rivers have a total length of 12,986 kilometers. How long is each river
Click here to see answer by checkley79(3341)

Question 740570: How do I graph the function f(x)=2-log(base 3)x? Does it reflect about the y or x axis? which way along the graph does it shift? The value and the negative in front of the log(base 3) is confusing me. Thank you for your help!
Click here to see answer by josgarithmetic(39617)

Question 740642: How do I graph the logarithmic function f(x)=log(base 3)(-x)+2? How do I find the intercepts? I appreciate your help in advance.
Click here to see answer by josgarithmetic(39617)

Question 740595: Y=3/x I need to graph the function
Click here to see answer by jam123(18)

Question 740936: how to solve y=x+8
-x+y=8
Click here to see answer by Alan3354(69443)

Question 740934: how to solve 3x+4y=-36
-2x=4y=-16
Click here to see answer by Alan3354(69443)

Question 740937: how to solve y=4x-3
-4x+y=9
Click here to see answer by Alan3354(69443)

Question 741030: which of the following shows the graph of 4x-y=1

Click here to see answer by TutorBecky(6)

Question 741041: Solve the linear system by graphing.
y=2x-1
y=4x-5
Please Im honestly stumped and do not know how to do this problem please and thank you.
Click here to see answer by stanbon(75887)

Question 741235: find the slope-intercept form of the line whos slope is 4 and passes through the point ( -9, 11)
Click here to see answer by mananth(16946)

Question 741266: (9,5)and(10,7) find the slope of the line that goes through
Click here to see answer by stanbon(75887)

Question 298961: In a group of 55 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only?
(a) 15 (b) 25 (c) 35 (d) None of these
Q.2 Lines ax + by + d = 0 and ax + by + c = 0 are...
(a) parallel to each other (b) identical lines
(c) perpendicular lines (d) Parallel to the line y = x
Q.3 The average age of 15 students is 16 years. If teacher�s age is included the average increases
by 1. Find teacher�s age.
(a) 30 years (b) 32 years (c) 58 years (d) 60 years
Q.4
Ten turns of a wire are helically wrapped around a cylindrical tube with outside circumference 4 inches and length 9 inches. The ends of the wire coincide with
ends of the same cylindrical element. Find the length of the wire.
(a) 41 inches (b)36 inches (c) 40 inches (d) 90 inches
Q.5 A series of books was published at seven � year intervals. When the seventh book was issued, the sum of the publication years was 13,524. When was the first book published?
(a) 1932 (b) 1911 (c) 1918 (d) 1904
Q.6 If ,3cotAfind the value of cosecA
(a) 1 (b) �1 (c) �2 (d) 2
Q.7 The measure of an angle exceeds three times the measure of its supplement by 20. Find its measure.
(a) 90 (b) 140 (c) 110 (d) 60
The IITian�s Prashikshan Kendra
A Resonance of Brilliant Minds�! Page 2 of 8
Q.8 In 14,13,BCABABCand .15CAAlso, M is the midpoint of side AB and H is the foot of the altitude from A to BC. The length of HM is
(a) 6 (b) 6.5 (c) 7 (d) 7.5
Q.9 If 281715yxand ,361517yxfind ),(yx
(a) 1, 3 (b) 3, �1 (c) 3, 1 (d) None of these
Q.10 In 6,7,8,CABCABABCand side BC is extended, as shown in the figure, to a point P so that PABis similar to PCA. The length of PC is
(a) 7 (b) 8 (c) 9 (d) 10
Q.11 In ABCif AD is perpendicular to BC and DCBDAD2then
(a) BAC = 40� (b)  BAC = 35� (c)  BAC = 90� (d)  BAC = 60�
Q.12 In a triangle ABC, AB = 9, BC = 10, AC = 13 if G is centroid. The value of line GB is
(a) 25 (b) 20 (c) 310 (d) 320
Q.13 The value of 20cos420cot3is
(a) 1 (b) 1 (c) 0 (d) none of these
Q.14 If in a CBAABCsin2sincosthen ABCis
(a) equilateral (b) isosceles (c) right angled (d) obtuse angled

Q.16 In how many different orders may 5 students be seated in a row?
(a) 120 (b) 25 (c) 50 (d) 100
Q.17 In a meeting after every one had shaken hands with every one else, it was found that 105 handshakes were exchanged. How many members were present at the meeting?
(a) 12 (b) 13 (c) 14 (d) 15
Q.18 A man has 7 friends. In how many ways can he invite one or more of them to a party?
(a) 128 (b) 127 (c) 49 (d) 70
Q.19 In a quiz program, the ratio of correct answers to incorrect answers is 5 : 2. If 16 incorrect answers are given then the number of correct answers given is
(a) 80 (b) 40 (c) 20 (d) 30
Q.20 10 Men begin to work together on a job, but after some days, 4 of them left the job. As a result the job which could have been completed in 40 days is completed in 50 days. How many days after the commencement of the work did the 4 men leave?
(a) 25 (b) 30 (c) 10 (d) 15
Click here to see answer by Harshal Mahajan(1)

Question 741408: graph 3x+4y=-12
Click here to see answer by jim_thompson5910(35256)

Question 741449: Ok, in a bit of a pickle. I was given the following: F(x)= |x-2|
From here I am given a series of about 10 different transformations I am supposed to make using the F(x) provided and these transformations are things including shifting left and right, reflections, or a combination of changes. I have the original graphed and the coordinates I have are (-2,4), (-1,3), (0,2), (1,1), (2,0), (3,1), (4,2), (5,3). Then I was given the following transformation that I am supposed to apply to the original: f(x-2). Do I set it up as f(x-2) = |x-2| and get new x and y coordinates? Or do I just change the x value and keep the y's the same? When I change the x's and y's I end up with the original coordinates I have for the original function, so I assume I only change the x and keep the y's the same? Please help!!! I am also given other changes I am supposed to apply to the original function, which again is: F(x)=|x-2| The changes I am given are things such as : f(x+4), f(x+1)-2 , 3f(x) and f(2x) . What are these asking me to do?!?!
Click here to see answer by solver91311(24713)

Question 741555: Which equation best describes the relationship between x and y in this table?
x y
3 10
7 26
11 42
15 58

Click here to see answer by rothauserc(4718)

Question 741707: Find the value of c so that the line passing through (1,2) and (3,c) is parallel to y= -3x+5/2.
Click here to see answer by mananth(16946)

Question 741822: Please tell me if my answers are correct.
question #1
find w if √(w) + 9 =25
I have 256

Thanks so much!

Click here to see answer by fcabanski(1391)

Question 741942: Can you please show me how to graph y=2x+4
Click here to see answer by TutorBecky(6)

Question 742035: what is the equation of the line that has a slope of 5 and passes through the point (-2,6)
Click here to see answer by mananth(16946)

Question 742072: Can i get some help with this please! How do you
Calculate the perpendicular bisector of A AND B and also calculate an equation for the circle of the segment which AB is a DIAMETER using the points below:
A(-3,1)B(5,6)
Click here to see answer by josgarithmetic(39617)

Question 742433: Using 1 variable like w=width than writing an inequality how would you work this problem?
The length of a rectangular boat storage shed must be 4 meters more
than the width. The perimeter must be at least 120 meters. What widths
of the shed will make the perimeter at least 120 meters?
Click here to see answer by rothauserc(4718)

Question 742436: Need help with this please, I have a variable which is w=width now I need to write an inequality than solve for this problem. Sara is shopping for a new (used) car. In addition to the price of the car,
there is a 5% sales tax and a $200 title and license fee. If Hank decides
that he will spend less than $14,900 total, then what price range for the
car can he afford?
Click here to see answer by MathTherapy(10551)

Question 742489: Complete the square as an aid in graphing:
y = -x^2 - 4x - 6
Please show all work.
Click here to see answer by lwsshak3(11628)

Question 742516: Write an equation of the line perpendicualar to the line given by 2x+3y=7 and having the same y-intercept as the line given by 5x+2y=10
Click here to see answer by josgarithmetic(39617)

Question 742531: What is the equation of the line whose y-intercept is 3 and slope is 1?
Click here to see answer by richwmiller(17219)

Question 742531: What is the equation of the line whose y-intercept is 3 and slope is 1?
Click here to see answer by MathLover1(20849)

Question 742948: Would you please help me to solve this:
Simplify each expression.
a) (3xy^3)(2x^3 y)
b) 2y(2y + 3y^2) � y^2(3 � y)
Thanks

Click here to see answer by rothauserc(4718)

Question 743062: Write an equation that shifts the circle x^2+y^2=16 to the left 2 units and downward 5 unit. Sketch the graph and state the center and radius of the standard circle.
Click here to see answer by MathLover1(20849)

Question 743223: How do I write and graph an inequality for the following word problem: Suppose you are shopping at the fruit market. You want to spend no ore than $12.00 on apples and bananas. Bananas cost $2.00 per bunch, and apples cost $4.00 per bag.
Click here to see answer by davethejackal(28)

Question 743437: Graph the equation: 3x=4y=0

Click here to see answer by stanbon(75887)

Question 743443: A popular band recently returned from a successful tour where they played to at least 140,000 people. The number of people attending each of the three concerts can be represented by the following expressions.
Denver: 2x + 10,000;
Seattle: 2(2x + 10,000);
Las Vegas: 4x
Which of the following could represent the minimum number of people that attended the concert in Las Vegas?
A) 32,000
B) 40,000
C) 44,000
D) 64,000

Click here to see answer by stanbon(75887)

Question 743568: The line above goes through points (-5,5) and (0,1). Which equation matches the line plot above?
Click here to see answer by stanbon(75887)

Question 743688: I find it confusing. This given graph: http://i40.tinypic.com/lw480.png is stretched vertically by a factor of |1/3| but how would you determine that it is 1/3? I know the 'h' and 'k' values but the 'a' value really is confusing me. I even got a low grade because of it. Can you please explain to me? Any method when it comes to analyzing the 'a' in graphs? Thank you so much!

Click here to see answer by josgarithmetic(39617)

Question 743769: Hi I was wondering. I need help with my help with my math hw. I'm have to solve a problem. Solve each equation using substitution. Y =4/3x-2. Y=2/3x
Click here to see answer by Alan3354(69443)

Question 743953: 4.07

Write the equation of the line with a slope of -5 and a y-intercept of (0,3).

Click here to see answer by checkley79(3341)

Question 744171: Looking to write a quadratic equation in the form ax^2+bx+c=0 , having roots of 1+i and 1-i. Not good with the "i" usage. Does below look correct?
For X1 I foiled (1+i)(1-i) to get -1
X2 would be it's conjugate, 1
Using quadratic equation (x-x1)(x-x2) I came up with x^2+0x-1=0
Thanks for your help!

Click here to see answer by KMST(5328)

Question 744336: what is the graph given this point (-2,7) and this slope m=-2/3
Click here to see answer by stanbon(75887)

Question 744444: 2 < (x - 1)/ (2)< 3
Click here to see answer by MathLover1(20849)

Question 744580: 5(2x-1)-3=2(4x+1)
Click here to see answer by stanbon(75887)

Question 744580: 5(2x-1)-3=2(4x+1)
Click here to see answer by Cromlix(4381)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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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