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

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Question 1164586: y= f(x-2) +2 . No formula for f is given
How do I graph this and explanation.

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

Question 1164587: Loudon Car Rental Company charges a $30 fee for the first 50 miles a compact car is driven. There is a $0.25 charge for every mile the car is driven over 50 miles. (So, there is no per mile charge for 0 - 50 miles driven).
(a) Write an equation that can be used to determine a car renter’s bill, B(x), given the amount of miles driven is called, x. Assume that the renter will drive over 50 miles before returning the car.

I put 30+ 0.25x is that correct

Click here to see answer by Theo(13342) About Me 

Question 1164623: You put17 gallons of gasoline​ (x) in your car. You know that this amount of gasoline will allow you to drive 459
miles​ (y).

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

Question 1164651: Find an equation that passes through ( - 2, - 1) and parallel to 2x - 3y = - 6.
Find an equation that passes through ( - 2, - 1) and perpendicular to 2x - 3y = - 6.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1164651: Find an equation that passes through ( - 2, - 1) and parallel to 2x - 3y = - 6.
Find an equation that passes through ( - 2, - 1) and perpendicular to 2x - 3y = - 6.

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

Question 1164646: a) Identify the x and y intercepts for the given linear equation
((x-2y))/3-12=((2x+4y))/3
b) Plot the graph for the given linear equation.
6x+3y=-36
Compute the slope of the line segment connecting the points (-4 , 20) and (-4 , 30).

Click here to see answer by greenestamps(13200) About Me 

Question 1164723: You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
q(p) =

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

Question 1164713: You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1180 log-ons per month. When you lowered the price to $2.50, the demand increased to 1475 log-ons per month.
(a) Construct a linear demand function for your Web site and hence obtain the monthly revenue R as a function of the log-on fee p.
R(p) =


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

Question 1164711: You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
q(p) =

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

Question 1164767: 1-pq=(2p-q)/(r) solve for p
Click here to see answer by josgarithmetic(39617) About Me 

Question 1164789: Find an equation for the linear function which has y-intercept (0,-2) and x- intercept (11,0)
Click here to see answer by Boreal(15235) About Me 

Question 1164839: a developer wants to purchase a plot of land to build a house the area of the plot can be described by the following expression: (5x+1)(6x-7) when x is measured in meters. multiply the binomials to find the area of the plot in standard form
Click here to see answer by solver91311(24713) About Me 

Question 1164875: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.) HINT [See Example 2.]
Through (2, 18) and (4, 162)
f(x) =

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

Question 1164874: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. HINT [See Example 1.] (If an answer does not exist, enter DNE.)
x −2 −1 0 1 2
f(x) 1.125 2.25 4.5 9 18
g(x) 12
6 3 1.5 0.75
f(x) =

g(x) =


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

Question 1164870: Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]
x 0 1 2
f(x) 900 540 324
f(x) =

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

Question 1164886: Find the slope (-4, 1) and 1, -2)
Click here to see answer by Alan3354(69443) About Me 

Question 1164905: find an equation of the line that satisfies the given conditions
through (1/2x, - 2/7) perpendicular to the line 4x-8y=1

Click here to see answer by greenestamps(13200) About Me 
Question 1164905: find an equation of the line that satisfies the given conditions
through (1/2x, - 2/7) perpendicular to the line 4x-8y=1

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

Question 1164904: Find an equation of the line that satisfies the given conditions.
Through (3, 5), parallel to the y-axis

Click here to see answer by greenestamps(13200) About Me 

Question 1164936: x takes 3 hrs more than y to walk 30 km. but if x doubles his pace he is ahead of y by 1 1/2 hours.find their speed of walking
Click here to see answer by josgarithmetic(39617) About Me 
Question 1164936: x takes 3 hrs more than y to walk 30 km. but if x doubles his pace he is ahead of y by 1 1/2 hours.find their speed of walking
Click here to see answer by MathTherapy(10552) About Me 

Question 1164950: an equation of the line that passes through (2, -1) and (-3, 3)
Click here to see answer by Alan3354(69443) About Me 

Question 1165014: A cab company charges an initial rate of $2.50 for a ride, plus $0.40 for each mile driven. What is the equation that models the total fee for using this cab company? Write into an equation and then graph it.
Click here to see answer by Boreal(15235) About Me 

Question 1165029: Find the nth term of the harmonic sequence
4/5,2/3,4/7,... n=12

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

Question 1165069: How do you solve y=1/2x+3 y=-1/4-3?

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

Question 1165130: Y=5/3x-4
Click here to see answer by Alan3354(69443) About Me 

Question 1165128: Write each equation in standard form. Identify A, B, and C.
9. y = x 10. y = 5x + 1

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

Question 1165245: Mark manages a store that sells cell phones. Each MX300 takes 6 hours to create the plastic pieces, 2 hours to create the electronics, and 10 hours of labor to assemble the final product. Each XL2000 requires 3 hours to create the plastic pieces, 4 hours to create the electronics, and 21 hours of labor to assemble the final product. The factory has 840 hours to create the plastic pieces, 360 hours to create the electronics, and 1880 hours of labor to assemble the final product each week. If each MX300 generates $4 in profit, and each XL2000 generates $19, how many of each of the cell phones should Mark have the store sell each week to make the most profit?
Click here to see answer by Theo(13342) About Me 

Question 1165348: Find a linear function ℎ given ℎ(1) = 4 and ℎ(−2) = 13. Find ℎ(2).
I'd really appreciate a response on this!!!Thanks.

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

Question 1165353: Find coefficients A and B such that 𝐴𝑥 + 𝐵𝑦 − 12 = 0. Given 𝑦 𝑖𝑛𝑡𝑒𝑐𝑒𝑝𝑡 = −6 𝑎𝑛𝑑 𝑠𝑙𝑜𝑝𝑒 = 1/2
It's basically find the standard form of a line. I'd really appreciate a response on this!!

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

Question 1165414: Use technology to find the exponential regression function through the given points. (Round all coefficients to four decimal places.) HINT [See Example 6.]
{(1, 2), (3, 5), (4, 9), (5, 19)}
f(x) =

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

Question 1165413: Use technology to find the quadratic regression curve through the given points. HINT [See Example 5.] (Round all coefficients to four decimal places.)
{(-1, 4), (-3, 7), (-4, 5), (-5, 3)}
y(x) =

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

Question 1165423: Which classification describes the following system of equations ?
12x+5y-3z=36
x-2y+4z=3
9x-10y+5z=27

Click here to see answer by Alan3354(69443) About Me 
Question 1165423: Which classification describes the following system of equations ?
12x+5y-3z=36
x-2y+4z=3
9x-10y+5z=27

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

Question 1165538: Write the system of equations that has (3.-4) as its only solution and both lines are perpendicular to each other.
I solved this problem like this but I am not sure if this is correct way of thinking. Thank you.
My solution: x+y=c, 3+(-4)=3-4=-1,
x-y=d, 3-(-4)=3+4=7,
My system of equation is:
y=-x-1
y=x-7
Both lines are perpendicular because -1times1=-1
Thank you.

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

Question 1165578: what is the slope to (-9 , 4) and (-9 , -2).
Click here to see answer by ikleyn(52781) About Me 

Question 1165595: Matthew needs to send a package from canada to indonesia, the distance from canada to indonesia, is 12,787 Km. The package arrived in Indonesia in 4 days, due to covid-19 the package was returned back to Canada, in 6 days. Estimate the speed of the trip.
I need to find the equation in order to the problem. Please solve the whole problem. Thanks

Click here to see answer by ikleyn(52781) About Me 
Question 1165595: Matthew needs to send a package from canada to indonesia, the distance from canada to indonesia, is 12,787 Km. The package arrived in Indonesia in 4 days, due to covid-19 the package was returned back to Canada, in 6 days. Estimate the speed of the trip.
I need to find the equation in order to the problem. Please solve the whole problem. Thanks

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

Question 1165755: 4,6 and -1,-14
Click here to see answer by greenestamps(13200) About Me 

Question 1165798: A local water park found that if the price of admission was $19, the attendance was about 1550 customers per week. When the price of admission was dropped to $16, attendance increased to about 2350 per week. Write a linear equation for the attendance in terms of the price, p. ( A=mp+b )
Click here to see answer by josgarithmetic(39617) About Me 

Question 1165844: A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve
Click here to see answer by ikleyn(52781) About Me 

Question 1165878: hey, i need help for this :) Find the point (𝑥,𝑦) on the line 𝑦=𝑥 that is equidistant from the points (6,8) and (8,0). Can you show me the steps too please, Thank you.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1165878: hey, i need help for this :) Find the point (𝑥,𝑦) on the line 𝑦=𝑥 that is equidistant from the points (6,8) and (8,0). Can you show me the steps too please, Thank you.

Click here to see answer by KMST(5328) About Me 

Question 1165958: Find the equation of the line shown. Enter your answer in point-slope form.
Slope:3/-4, Ordered pair (-10.5,-8)

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

Question 1165935: A woman bought some large frames for $16each and some small frames for $4ech at close out sale.if she bought 20 frames for $152,find how many of each type she bought
Click here to see answer by ikleyn(52781) 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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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, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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