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

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Question 987157: Calculate the turning point of the quadratic function
y=4x^2-7x+3

Click here to see answer by Fombitz(32388) About Me 

Question 987132: (8,9); x+ 2y=7
Click here to see answer by Alan3354(69443) About Me 

Question 987176: 1. what does the difference of eleven times a number and 6 results in four times the difference of three times the number and 1 equal to?
2. a 121 cm board is cut into two pieces. if one piece is 35 cm shorter than the other, how long are the two pieces?
3. The lengths of the sides of a triangle are x+2,3x+5,and 5x. if the perimeter is 70, find the length of the sides?
the length of the intermediate side is?

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

Question 987353: I don't understand how to do the problem: x%2F4 = 2%2B%28x-3%29%2F3.
Click here to see answer by Boreal(15235) About Me 
Question 987353: I don't understand how to do the problem: x%2F4 = 2%2B%28x-3%29%2F3.
Click here to see answer by ikleyn(52781) About Me 
Question 987353: I don't understand how to do the problem: x%2F4 = 2%2B%28x-3%29%2F3.
Click here to see answer by Alan3354(69443) About Me 

Question 987369: A line passes through (-1,7) and (2,10)
What is the equation of the line?

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

Question 987376: Pls need help
1. the length of the sides of a triangle are x+2,2x+3 and 5x. If perimeter is 21 find the lengths of the sides?
the length of the shorts side is?
the length of the longest side is?
the length of the intermediate is?

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

Question 987389: Please help me solve this equation for a parallel line and a perpendicular line: y=1/4x-2; where the pass through points are (8, -1)
Thank you so much in advance,
C. Strickland

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

Question 987398: I dont understand this please help and please show work so i can know how to do this

Solve the system of equations using algebra. Verify your solution by graphing the system or by substituting your solution back into the original equations. (If an answer does not exist, enter DNE.)
N(m)=2.00m+4.10
B(m)=2.20+3.40

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

Question 987222: 1. During one week on Jessica's fantasy football team, Miles Ahead earned 10 more points than three times the number of points earned by Jake Smith. If they combined for 62 points, how many points did each player earn for Jessica?
2. the length of the sides of a triangle are x+2,2x+3 and 5x. If perimeter is 21 find the lengths of the sides?
the length of the shorts side is?
the length of the longest side is?
the length of the intermediate is?
3.
triangle has -one side is x+6
another side is 3x+5
last side 3x+6
what is the three dimensions of the triangle?

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

Question 987226: The length of the segment MN is 10 units. M is at (5,7) and E is at (1,y). Find y.
Click here to see answer by macston(5194) About Me 

Question 987538: Given an equation of a line, find equations for lines perpendicular to it going through specified points. Find the appropriate equations and points from the table below. y=1/4x-2 (8,-1)

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

Question 987624: simplify the following expression by combining like terms.
1. 7y-26-9y+35=

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

Question 987627: 1. four times the sum of -2 and a number yields the difference between 10 and 5 times the number is?
Click here to see answer by vleith(2983) About Me 
Question 987627: 1. four times the sum of -2 and a number yields the difference between 10 and 5 times the number is?
Click here to see answer by Edwin McCravy(20055) About Me 

Question 987626: list the terms and the coefficient of this expression
1. w^3-4w^2-7w+9

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

Question 987533: given 3y<=4,2x+3y<=8, x>=3
do you use 3 inplace of x
if I have to sketch the feasibility region defined by the above restraints how do I if there is only y=4 and y= 2/3. I have to label the edges of the region with numbers and the extra with letters as well as find and present the coordinates of the extrema.Assuming x and y are both equal to or greater than zero. Could you work a problem out like that where you show me how to do the linear equations so I can plot it

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

Question 987659: Please help me solve this problem:
Sketch the graph of the function with the given rule.
f(x) = 9 − x2
find the domain and range of the function.

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

Question 987663: So I have a linear equation f(t)= 100(0.2)^t/4
Using this I am supposed to show that the halving time is constant no matter what t we consider, if you add +t=1.725 to any value for t, the value is halved.
I know how to express this in words, as it's fairly intuitive, but I'm not sure how to demonstrate it in mathematical notation for any value of t.
It would be very helpful if you could also show the halving time values over the range of f(0) to f(10)
Thanks.

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

Question 987658: Please help me solve this problem:


Find the domain and range of the function. Use interval notation to write your result.

f(x) = 2x − 7

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

Question 987670: t (minutes) is a function, f, of a (millilitres) so T= f(a)
1)If f(5)=18, what is the meaning of this statement?
2) If f' (5) = -3 what is the meaning of this statement

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

Question 987453: Which is the function satisfying the following condition f(4)-f(-2)= 1 ?
Click here to see answer by solver91311(24713) About Me 

Question 987776: 1. the difference of five times a number and 5 results in twice the difference of three times the number and 3.
the unknown number is?

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

Question 987708: Graph the function and its parent function. Then describe the transformation.
g(x)= -|x-1|-1/2

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

Question 987781: 1. a small can of an energy drink contains 8 or more calories than 4 times the number of calories in a shot of the same energy drink. If a small can and shot contain a total of 133 calories, how many calories are in each drink?

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

Question 987766: What is the slope of4.8 and 12.3
Click here to see answer by Alan3354(69443) About Me 

Question 987910: m=-1/2,b=5 in slope form

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

Question 987916: Sketch a line with given slope M and Y-intercept b. Write its slope intercept form m=-1/2,b=5
Click here to see answer by solver91311(24713) About Me 

Question 988044: Hi I would like to know how to solve 5/6y-3/4y=-3
Click here to see answer by Alan3354(69443) About Me 

Question 988027: The books says to write an equation in slope intercept form for the line that satisfies each set of conitions.
The problem says: passes through (3,2),perpendicular to the graph of 4x-3y=12
*How do I write this in intercept form?*

Click here to see answer by josgarithmetic(39617) About Me 
Question 988027: The books says to write an equation in slope intercept form for the line that satisfies each set of conitions.
The problem says: passes through (3,2),perpendicular to the graph of 4x-3y=12
*How do I write this in intercept form?*

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

Question 988091: Whackedmhard sports is planning to introduce a new line of tennis rackets . The fixed costs for the new line are $25,000and the variable cost of producing each racket is $60 . If the racket sells for $80 , find the number of rackets that must be sold in order to break even .
Click here to see answer by Boreal(15235) About Me 
Question 988091: Whackedmhard sports is planning to introduce a new line of tennis rackets . The fixed costs for the new line are $25,000and the variable cost of producing each racket is $60 . If the racket sells for $80 , find the number of rackets that must be sold in order to break even .
Click here to see answer by solver91311(24713) About Me 

Question 988087: What is the slope of the x axis ? How about the y axis ?
Click here to see answer by Alan3354(69443) About Me 

Question 988179: Can you make a table or recursive/explicit formula out of a sideways parabola? And if so how?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 988175: Find an equation for the line perpendicular to the line −5x + 7y = −1 having the same y-intercept as x − 3y = −8.
Click here to see answer by josgarithmetic(39617) About Me 

Question 988186: How to solve the next problem.
(3m)to the 2nd+(2n-4m) to the 3rd for the given values; m = -3 and n = -5

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

Question 988218: 3x+4=12x+5
This is what I"ve tried but don't know if I'm right. Plus I need to know how to check my work.
3x+4=12x+5 I saw somewhere that I make the 4 a - why do I make it a negative?
then add 4 to both sides
3x=12x+9 then divide all by 3
x=4x+3
Where do I go from here and please show me how to check my work. Thank you and God bless.

Click here to see answer by josgarithmetic(39617) About Me 
Question 988218: 3x+4=12x+5
This is what I"ve tried but don't know if I'm right. Plus I need to know how to check my work.
3x+4=12x+5 I saw somewhere that I make the 4 a - why do I make it a negative?
then add 4 to both sides
3x=12x+9 then divide all by 3
x=4x+3
Where do I go from here and please show me how to check my work. Thank you and God bless.

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

Question 988115: Write an equation for the line that passes through (1,-4) and is parallel to the line 4y=x-16
Click here to see answer by Fombitz(32388) About Me 

Question 988353: 3y=-4x-6
I missed 3 days of school due to being sick, i wasnt there for the notes, how do i solve?

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

Question 988382: plot the points.
f(x) = -3/5x + 28/5
For the rise and run plot, I got (-5,8) but the book had (-4,8). I don't think my answer is wrong because I counted off from 5 at the y-axis 3 units up, and run 5 units to the left which gave me (-5,8). Is the answer from the book a typo or am I wrong?

Click here to see answer by Boreal(15235) About Me 
Question 988382: plot the points.
f(x) = -3/5x + 28/5
For the rise and run plot, I got (-5,8) but the book had (-4,8). I don't think my answer is wrong because I counted off from 5 at the y-axis 3 units up, and run 5 units to the left which gave me (-5,8). Is the answer from the book a typo or am I wrong?

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

Question 988448: What is the vertex form of y=-3x^2 + 1? Please show steps.
Click here to see answer by josgarithmetic(39617) 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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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