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

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Question 988474: How do I "sketch the restricted function and state the domain and range in interval notation, of the following:"
f(x)=x^2
f(-2)=
Graph f(x) if x> -2

This is one question and it is typed exactly how the problem looks on my paper. Only difference, this problem is missing an empty graph under it. Thank you in advance!

Click here to see answer by Edwin McCravy(20055) About Me 

Question 988538: Find the equation of the line.
1). Through (2,-1), parallel to y=3x-6
2). Through (-6,10), perpendicular to y=2x+3

Click here to see answer by josgarithmetic(39617) About Me 

Question 988520: tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat, as shown. The area of the square mat is half the area of 1 of the rectangular mats. total area=81 ft squared. write and solve the equation to find the area of 1 rectangular mat. the length of a rectangular mat is twice the width. use guess and check and revise to find the dimensions of 1 rectangular mat.
Click here to see answer by macston(5194) About Me 

Question 988610: Solving a system by elimination:
{(x-1)/2 + (y+2)/3 = 4
{x - 2y = 5

Click here to see answer by Alan3354(69443) About Me 

Question 988704: What is x-y=0?
and x+y=0?
how do you solve this and equations like this?

Click here to see answer by solver91311(24713) About Me 

Question 988771: How do constraints work? How do you write them? My teacher didn't go over the topic much and I have homework on it. It is confusing and I don't even know what it is. I have tried multiple websites but they don't teach it well. Please help!
P.S. Are constraints just limits to what a variable could be? Like, do they tell you that a variable has to be between for example 0 and 9?

Click here to see answer by stanbon(75887) About Me 
Question 988771: How do constraints work? How do you write them? My teacher didn't go over the topic much and I have homework on it. It is confusing and I don't even know what it is. I have tried multiple websites but they don't teach it well. Please help!
P.S. Are constraints just limits to what a variable could be? Like, do they tell you that a variable has to be between for example 0 and 9?

Click here to see answer by josgarithmetic(39617) About Me 

Question 988813: In the slope-intercept form, the equation consists of the slope and y-intercept. The y-intercept is where the line intercepts the y-axis and the x-intercept is where the line intercepts the x-axis. The ordered pair for the y-intercept is (0, b) and the ordered pair for the x-intercept is (a, 0).
1. How would you find the x- & y-intercept for an equation? Explain.
2. Find the intercepts for the following equations:
a. x + y = 4
b. 2x - 3y = 18

Click here to see answer by solver91311(24713) About Me 

Question 988716: Find the slope-intercept form of the line which passes through the given points. (Let y be the dependent variable and let x be the independent variable.)
P(−3, 4), Q(1, −9)

Click here to see answer by solver91311(24713) About Me 

Question 988805: Solve and graph. X-4y=16
Click here to see answer by Fombitz(32388) About Me 

Question 988682: F (x)=mx+b such that f (2)=4 and the straight line represented by f has slope -1
Click here to see answer by Fombitz(32388) About Me 

Question 988757: A rectangle is 12m longer than it is wide. Its perimeter is 68m. What is its length and width?
Click here to see answer by Fombitz(32388) About Me 

Question 988892: The difference quotient, D, is defined by the equation D=f(x+h)-f(x)/h
find D if f(x)=2x^2+7x+9

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

Question 988922: Find the slope of the line that passes through each pair of points.
1. (2,-7),(5,-5)
2. (-2,-3),(0,-5)
3. (4,-1.5), (4,4.5)
Graph the line passing through the given point with the given slope.
4. (-3,-1),m=-1/5

Click here to see answer by josgarithmetic(39617) About Me 
Question 988922: Find the slope of the line that passes through each pair of points.
1. (2,-7),(5,-5)
2. (-2,-3),(0,-5)
3. (4,-1.5), (4,4.5)
Graph the line passing through the given point with the given slope.
4. (-3,-1),m=-1/5

Click here to see answer by macston(5194) About Me 

Question 988940: A rectangular skating rink measures 30 m by 14 m. It is to be doubled in area by extending each side by the same amount. Determine how much each side should be extended,
Click here to see answer by macston(5194) About Me 

Question 988946: Find a general form of an equation of the line through the point A that satisfies the given condition.
A(2, −3) through B(−1, 3)

Click here to see answer by josgarithmetic(39617) About Me 

Question 989051: Find the equation of the line passing through the point open parentheses minus 3 comma 5 close parentheses and
parallel to the line with equation y equal minus 2 x plus 4 .
perpendicular to the line with equation minus 2 x plus y equal 0 .

Click here to see answer by Boreal(15235) About Me 

Question 989065: I'm confused on how to answer this: x/-5=11
Click here to see answer by Timnewman(323) About Me 

Question 989076: 7x+y=4
Click here to see answer by Alan3354(69443) About Me 

Question 989081: Solve the system by elimination 4x + y = -1, 2x-y= -5
Click here to see answer by Alan3354(69443) About Me 

Question 989114: what is 2y=x+9 x=y-6
Click here to see answer by josgarithmetic(39617) About Me 

Question 989110: Solve for x
3x^2-24=0

Click here to see answer by solver91311(24713) About Me 

Question 989334: I'm stuck on this question. I'm supposed to obtain a substitution that would satisfy the equation by using one of the ordered pairs, which are the following.
(9,5) (8,-5) (3,-7) and (12,5).
The question is this.
y = 1/3x + 1

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

Question 989347: f(x)=3x-b pases through (1,1) what is b?
Click here to see answer by josgarithmetic(39617) About Me 

Question 989362: Find a linear equation whose graph is the straight line with the given property. Through (2, −9) and (1, 1)

Click here to see answer by josgarithmetic(39617) About Me 

Question 989373: The distance between Kansas City, MO and Minneapolis, MN is 460 miles. Michelle leaves KC driving 55 miles per hour while at the same time Herman leaves Minneapolis driving at 60 miles per hour. If both take I-35, how much time will it take before they meet?
Click here to see answer by solver91311(24713) About Me 

Question 989412: A farm owner makes his apple juice and cranberry juice how much would you charge if he makes his 8 L of apple juice selling for a 0.45 per liter with 10 L of cranberry juice selling for 1.08 per liter

I tried 8(0.45) + 10 (1.08) and got 14.40 and it was incorrect what did I do wrong and how do I correctly solve this problem?

Click here to see answer by josgarithmetic(39617) About Me 

Question 989409: A grocer mixed pecans that cost $5.00/ kg with walnuts that cost 5.80/kg to create a 40 kg mixture how many kilograms of pecans are needed if blend is worth 5.50/kg?

I tried multiplying the 3 and dividing by 5.50 but I'm not really sure how to solve please help?

Click here to see answer by josgarithmetic(39617) About Me 

Question 989407: Can someone please help me solve this system by substitution?
+x%5E2%2B4y%5E2=20
+xy=4+

Click here to see answer by josgarithmetic(39617) About Me 

Question 989522: Can someone please show me how to work this problem?:
"What is the equation of a line that passes through the points (0, 1) and (6, -2) ?"
Thank you.

Click here to see answer by macston(5194) About Me 

Question 989545: What is -4x+6y=3 in slope intercept form

Click here to see answer by Fombitz(32388) About Me 
Question 989545: What is -4x+6y=3 in slope intercept form

Click here to see answer by solver91311(24713) About Me 

Question 989542: QUESTION: Apple sells 1200 of their iPods at price of 200. They know that for every $5.00 decrease in price , 75 more iPods will sell but they will not drop the price below 115.00. write the number of iPods n as a function of the price p.
Click here to see answer by josmiceli(19441) About Me 

Question 989590: Hi, I have a problem that deals with linear equations with three variables:
SOLVE:
x+y=7
y+z=8
x+2z=2
and no, I cannot simply use matrices to solve this question. I tried eliminating 'z' from the second and third equation, but I got stuck because I can't eliminate 'z' from the first equation. Please help and thank you so much to whoever helps!

Click here to see answer by stanbon(75887) About Me 
Question 989590: Hi, I have a problem that deals with linear equations with three variables:
SOLVE:
x+y=7
y+z=8
x+2z=2
and no, I cannot simply use matrices to solve this question. I tried eliminating 'z' from the second and third equation, but I got stuck because I can't eliminate 'z' from the first equation. Please help and thank you so much to whoever helps!

Click here to see answer by MathTherapy(10552) About Me 

Question 989652: How do I put y=-4x-7 in standard form

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

Question 989618: Hi,
I need help with a problem and I cannot use matrices for it.
SOLVE:
x+y=7
y+z=8
x+2z=2
THANK YOU!

Click here to see answer by rothauserc(4718) About Me 
Question 989618: Hi,
I need help with a problem and I cannot use matrices for it.
SOLVE:
x+y=7
y+z=8
x+2z=2
THANK YOU!

Click here to see answer by Edwin McCravy(20055) About Me 

Question 989695: Given the equation y = 2x -7, write a linear equation in point slope form that is parallel to the line (5.1). Then change the equation to slope-intercept form.
I need to understand the steps and see the answer so I know how it was figured out. This will help me to finish all the other problems. Right now I don't know if what I come up with is accurate. Thank you! Keri and Logan

Click here to see answer by jim_thompson5910(35256) About Me 
Question 989695: Given the equation y = 2x -7, write a linear equation in point slope form that is parallel to the line (5.1). Then change the equation to slope-intercept form.
I need to understand the steps and see the answer so I know how it was figured out. This will help me to finish all the other problems. Right now I don't know if what I come up with is accurate. Thank you! Keri and Logan

Click here to see answer by josgarithmetic(39617) About Me 

Question 989620: .5x=3 in standard form
Click here to see answer by macston(5194) About Me 

Question 989803: Sum of the digits of a two digit number is 10 when we interchange the digits it is found that the resulting number is greater than the original number by 36


PLAEASE HELP ME NOW ITS URGENT!!!!!!!!!!

Click here to see answer by ikleyn(52781) About Me 

Question 989950: what is the standard form of the quadratic function y=-5(x+2)^+18
Click here to see answer by stanbon(75887) About Me 

Question 990045: what is the equation of the tangent line and normal line of to the ellipse x^2+2y^2=9 perpendicular to the line 4x-y=6
Click here to see answer by Alan3354(69443) About Me 

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27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045