Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 62754: WHAT IS THE MAXIMUM VALUE OF y=-x^2+6x?
This is a quadratic with a=-1 and b=6
The maximum point occurs when x=-b/(2a)
x=-6/(-2)=3
When x=3, y= -3^2+6(3)=9
Maximum at (3,9)
Cheers,
Stan H.

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Question 62754: WHAT IS THE MAXIMUM VALUE OF y=-x^2+6x?
This is a quadratic with a=-1 and b=6
The maximum point occurs when x=-b/(2a)
x=-6/(-2)=3
When x=3, y= -3^2+6(3)=9
Maximum at (3,9)
Cheers,
Stan H.

Click here to see answer by stanbon(26297) About Me 
Question 62754: WHAT IS THE MAXIMUM VALUE OF y=-x^2+6x?
This is a quadratic with a=-1 and b=6
The maximum point occurs when x=-b/(2a)
x=-6/(-2)=3
When x=3, y= -3^2+6(3)=9
Maximum at (3,9)
Cheers,
Stan H.

Click here to see answer by jai_kos(139) About Me 

Question 62759: GIVE THE EQUATION FOR THE CIRCLE WITH CENTER C(3,-2) AND RADIUS 4.
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Question 62761: WHAT IS THE x-INTERCEPT AND y-INTERCEPT OF THE EQUATION 5x-3y=30?
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Question 62761: WHAT IS THE x-INTERCEPT AND y-INTERCEPT OF THE EQUATION 5x-3y=30?
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Question 62763: IF f(x)=x(x+3)(x-1), USE INTERVAL NOTATION TO GIVE ALL VALUES OF x WHERE f(x)>0.
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Question 62874This question is from textbook
: how do i take problem step by step
This question is from textbook

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Question 62671: Please help me to sketch the following line by method of Linear Function or straight lines.
7. y = (2/3)x-4
8. 8x-3y=24
9. slope=-3/4
Thanks, I am grateful for your help.

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Question 62913: rewrite this as a function of x
4x-6y= - 30

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Question 62938: pay=0.05(sales)+120 (a) identify and (b) interpret the meaning of both the slope and y-intercept
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Question 62940: fahrenheit=9/5 celsius+32 (a) identify and (b) interpret the meaning of both the slope and the y-intercept.
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Question 62940: fahrenheit=9/5 celsius+32 (a) identify and (b) interpret the meaning of both the slope and the y-intercept.
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Question 62939: MHR=220-age (a) identify and(b)interpret the meaning of both the slope and the y-intercept.
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Question 62961: Find the solution by graph:
4x-20=5y
8x-10y=12

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Question 63044: Hi. Yes i don't understand the x and the y thing and how to put the slope on the coordinate plane
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Question 63088: My question are true or false questions.
The coordinate (4,-3) is part of the solution set of the linear inequality y>2x-12
The coordinate (2,4) is not part of the solution set of the linear inequality

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Question 63105: Fine the value of r so the line that passes through each pair of points has the given slope.
(-4,3), (r,5), m=1/4

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Question 63124: "Write an equation in slope-intercept form for the line that satisfies the given conditions."
14.) x-intercept is -6, y-intercept is 2.
" Please help me I am having a hard time with this. Thankyou for being helpful.

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Question 63184This question is from textbook
: Is (-5,3) a solution of 3x-2y=9?This question is from textbook

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Question 63134: How do you get y+(-6)=1.3(x+7) in standard form?
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Question 63155: THE GRAPH OF y=(x-3)(x-5)(x-a). DETERMINE THE VALUE OF a.
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Question 63152: THE GRAPH OF f(x)= 6x-10 OVER 2x-A. FIND THE VALUE OF a.
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Question 63148: LET f(x)=x3-8x2+17x-9. USE THE FACTOR THEOREM TO FIND OTHER SOLUTIONS TO f(x)-f(1)=0,BESIDES x=1.
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Question 63222: I have many word problems to solve that are similar to this one, but I need help with the questions on this one word problem so I can use it as an example to look at and answer the other problems on my own. Here is the word problem and questions below......... In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.

Given the description above, 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 find the maximum number of riders possible. The vertical axis is the number of riders per day, and the horizontal axis is the fare.

What is the graph and graph type?
What is the slope of the graph?

1)The 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?

2)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?

3) It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a)How far have you traveled after 3 hours?
b)How far have you traveled after 4 hours?
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.
d)How far will you HAVE LEFT to travel to reach St. Louis after you have traveled 3 hours?
e)How far will you HAVE LEFT to travel to reach St. Louis after you have traveled 4 hours?
f)How far will you HAVE LEFT to travel to reach St. Louis after you have traveled t hours? i.e. write a linear function that expresses the distance to be traveled to reach St. Louis, s, as a function of time, t.





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Question 63295: (6,y) (3/2,4/5) when m=2/3
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Question 63317: if i have the equation y=2x+4,
and have to subtract -8/3 from the slope what would it equal?

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Question 63312: Dear Tutor,
I don't understand how to solve slope and direct variation. I really need help because I'm going to have an exam on it soon!


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Question 63162: A RECTANGLE IS PLACED UNDER THE PARABOLIC ARCH GIVEN BY f(x)=27-3x2 BY USING A POINT (x,y) ON A PARABOLA. WRITE A FORMULA FOR THE FUNCTION A(x) THAT GIVES THE AREA OF THE RECTANGLE AS A FUNCTION OF THE x-COORDINATE OF THE POINT CHOSEN.
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Question 63146: THE POLYNOMIAL f(x) DIVIDED x-3 RESULTS IN A QUOTIENT OF x2+3x-5 WITH A REMAINDER OF 2. FIND f(3).
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Question 63371: 6x -3y =-54 find the slope and y intercept of the line
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Question 63429This question is from textbook
: An airplane flying over Albuquerque at an elevation of 33,000 feet begins its descend to land at sante fe, 50 miles away. If the elevation of santa fe is 7000 feet, what should be the approximate slope of descend, expressed as a percent?This question is from textbook

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Question 63470This question is from textbook
: Ok I am having a heck of a time trying to figure theses out. Here is an example of one, can anyone give me any tips on hints that I could ask myself as to where to start?
Graph an equation of the form y = mx + b
y = 5x - 4
Thank you
This question is from textbook

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Question 63499This question is from textbook algebra 1
: hi, good afternoon
i am having problems with my 7th grade algebra homework
based on slopes
my problem is:
"Find the slope, if it exsists of each of these lines"
x=9
how do you solve that?
please help and thank you for your time =D
This question is from textbook algebra 1

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Question 63504: I am having problems understanding
this problem
i have to express the equation in a slope-intercept form
its
(-6,-2) m= 5/2
please help me! i'd apreciate it
thank you =)

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Question 63517:
Hi I am having problems with this: Solve the following equation:

3x = 15·4x-2

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Question 63599: help!
Nutts nuts has 75lbs of chashew and 120lbs of peanuts. These are to be mixed in 1 pound packages as follows:a low grade mixture that contains 4ounces of cashew and 12ounces of peanuts. High grade mixture contains 8 ounces of cashew and 8 ounces of peanuts. On the low-grade mixture a profit of $0.25 a package is to be made while the high-grade mixture profit is to be $0.45 a package. How many packges of each mixture should be made to botain a maximum profit?
x=# of packages of low grade mixture
y=# of package of high grade mixture
The profit P is given by the linear equation
p=($0.25)x + ($0.45)y

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Question 63597: complete the ordered pair solution for the given equation
3x-2y=10 (2,_),(-2,_)

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Question 63596: determine if the ordered pair is a solution for the given equation (3,0) x+2y=6
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Question 63649: Please help me solve these problems.
Solve 6x-0.37=5(x-0.28)
Solve the syslem by substitution.
2x+2y=0
y=4x+0
Solve by addition 5x-4y=-5
x=2y=-7
Please help me solve these problems
Thank you
MM

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Question 63824: Write an equation of the line that has each pair of intercepts.
x-intercept: -3, y-intercept: 5

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Question 63906: WHAT IS THE STANDARD FORM OF Y-5=-2/3(X+1)
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Question 63929: What is the equation for the line that passes through the point (-2,2) and has a slope of 5?
a. y = 5x + 2
b. y = 5x + 12
c. y = 5x - 2
d. none of these


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Question 63799: A survey of 100 commuters showed the following; 59 drove the freeway, 49 wore seat belts, 42 listened to the radio, 20 listened to the radio and wore seat belts,29 listened to the radio and drove the freeway, 31 drove the freeway and wore seat belts.12 did all three. How many did none of these things?
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Question 63946This question is from textbook college algebra
: determine the slope of the line by the equation
3y-2=x/5 (/ means over the number)
find the equation, in slope-intercept form, of the line passing through the point with specified slope.
point (0,-3); slope of 3/4
point (0, 6); slope of 4
Find the equation , in standard form, of the line passing through the specified points.
(-1,3) and (2,-1)
(4/3, 1) and (2/5, 3/7)
This question is from textbook college algebra

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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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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