Tutors Answer Your Questions about Equations (FREE)
Question 925738: Please help me solve these problems:
"Find the rule to fit this In/Out tables. You may find it helpful to draw out the first and second differences.
1.
IN OUT
1 14
2 17
3 20
4 23
5 26
6 ?
Rule: "The OUT is...
____________________
2.
IN OUT
1 8
2 11
3 16
4 23
5 ?
6 ?
Rule: "The OUT is...
___________________
3.
IN OUT
1 5
2 20
3 45
4 80
5 ?
6 ?
Rule: "The OUT is...
____________________"
I noticed some patterns in OUT of these problems but cannot create rule equations for each problem.
1. Pattern: the difference between the next OUT and previous OUT is 3.
17 - 14 = 3, 20 - 17 = 3, 23 - 20 = 3, 26 - 23 = 3. So OUT for IN 6 will be 29 (26 + 3 = 29).
2. Pattern: the difference between the next OUT and previous OUT is increased each time by 2.
11 - 8 = 3, 16 - 11 = 5, 23 - 16 = 7 (5 - 3 = 2, 7 - 5 = 2). So I could find
OUT for IN 5 and OUT for IN 6:
IN 5 OUT 32 (7 + 2 = 9, 23 + 9 = 32)
IN 6 OUT 43 (9 + 2 = 11, 32 + 11 = 43)
3. Pattern: the difference between the next OUT and previous OUT is increased each time by 10.
20 - 5 = 15, 45 - 20 = 25, 80 - 45 = 35 (25 - 15 = 10, 35 - 25 = 10). So I could find OUT for IN 5 and OUT for IN 6:
IN 5 OUT 125 (35 + 10 = 45, 80 + 45 = 125)
IN 6 OUT 180 (45 + 10 = 55, 125 + 55 = 180).
Please help me with finding rule equations.
Thank you,
Inna
Click here to see answer by josgarithmetic(39617) |
Question 926109: A pair of equations is shown below:
y = 3x - 5
y = 6x - 8
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Click here to see answer by TimothyLamb(4379)  |
Question 926527: According to a candy company, packages of a certain candy contain 17% orange candies. Suppose we examine 100 random candies.
A. What is the standard error? Round to three decimal places
B. We expect (blank) % orange candies, give or take (blank) round to one decimal place
thank you!
Click here to see answer by stanbon(75887) |
Question 927127: Janet drove 355 miles south along Interstate 5, starting in Seattle, Washington, at 5:30 AM. She reached her exit at 1:00 P.M. She stopped at rest areas twice, once for 34of an hour, and once for 12an hour. What was her average speed, to one decimal point, while she was driving (taking out the time for the stops)?
Click here to see answer by josmiceli(19441)  |
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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, 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