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6x-9y=3
x+3y=0
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The goal is to get y alone.
1. 6x-9y=3 (divide by 3 to the whole equation)
2x-3y=1 (subtract 2x from both sides)
-3y=-2x+1 (divide by -3 to the whole equation)
y=2/3x-1/3
Just use random x values, to find some y values
x | y |
0 | -1/3 |
1 | 1/3 |
2 | 1 |
(0,-1/3)(1,1/3)(2,1)
2. x+3y=0 (subtract x from both sides)
3y=-x (divide by three to both sides)
y=-x/3
x | y |
0 | 0 |
1 | -1/3 |
2 | -2/3 |
Note there are a ton more points, you just keep using different x values to find more points.
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35 9.485 5.355"56" 270 23.6 26 28.7 8.3804 4.2476"57" 270 24.1 26.5 29.3 8.1454 4.2485"58" 306 25.6 28 30.8 8.778 4.6816"59" 540 28.5 31 34 10.744 6.562"60" 800 33.7 36.4 39.6 11.7612 6.5736"61" 1000 37.3 40 43.5 12.354 6.525"62" 55 13.5 14.7 16.5 6.8475 2.3265"63" 60 14.3 15.5 17.4 6.5772 2.3142"64" 90 16.3 17.7 19.8 7.4052 2.673"65" 120 17.5 19 21.3 8.3922 2.9181"66" 150 18.4 20 22.4 8.8928 3.2928"67" 140 19 20.7 23.2 8.5376 3.2944"68" 170 19 20.7 23.2 9.396 3.4104"69" 145 19.8 21.5 24.1 9.7364 3.1571"70" 200 21.2 23 25.8 10.3458 3.6636"71" 273 23 25 28 11.088 4.144"72" 300 24 26 29 11.368 4.234"73" 5.9 7.5 8.4 8.8 2.112 1.408"74" 32 12.5 13.7 14.7 3.528 1.9992"75" 40 13.8 15 16 3.824 2.432"76" 51.5 15 16.2 17.2 4.5924 2.6316"77" 70 15.7 17.4 18.5 4.588 2.9415"78" 100 16.2 18 19.2 5.2224 3.3216"79" 78 16.8 18.7 19.4 5.1992 3.1234"80" 80 17.2 19 20.2 5.6358 3.0502"81" 85 17.8 19.6 20.8 5.1376 3.0368"82" 85 18.2 20 21 5.082 2.772"83" 110 19 21 22.5 5.6925 3.555"84" 115 19 21 22.5 5.9175 3.3075"85" 125 19 21 22.5 5.6925 3.6675"86" 130 19.3 21.3 22.8 6.384 3.534"87" 120 20 22 23.5 6.11 3.4075"88" 120 20 22 23.5 5.64 3.525"89" 130 20 22 23.5 6.11 3.525"90" 135 20 22 23.5 5.875 3.525"91" 110 20 22 23.5 5.5225 3.995"92" 130 20.5 22.5 24 5.856 3.624"93" 150 20.5 22.5 24 5.856 3.624"94" 145 20.7 22.7 24.2 5.9532 3.63"95" 150 21 23 24.5 5.2185 3.626"96" 170 21.5 23.5 25 6.275 3.725"97" 225 22 24 25.5 7.293 3.723"98" 145 22 24 25.5 6.375 3.825"99" 188 22.6 24.6 26.2 6.7334 4.1658"100" 180 23 25 26.5 6.4395 3.6835"101" 197 23.5 25.6 27 6.561 4.239"102" 218 25 26.5 28 7.168 4.144"103" 300 25.2 27.3 28.7 8.323 5.1373"104" 260 25.4 27.5 28.9 7.1672 4.335"105" 265 25.4 27.5 28.9 7.1672 4.335"106" 250 25.4 27.5 28.9 7.2828 4.5662"107" 250 25.9 28 29.4 7.8204 4.2042"108" 300 26.9 28.7 30.1 7.5852 4.6354"109" 320 27.8 30 31.6 7.6156 4.7716"110" 514 30.5 32.8 34 10.03 6.018"111" 556 32 34.5 36.5 10.2565 6.3875"112" 840 32.5 35 37.3 11.4884 7.7957"113" 685 34 36.5 39 10.881 6.864"114" 700 34 36 38.3 10.6091 6.7408"115" 700 34.5 37 39.4 10.835 6.2646"116" 690 34.6 37 39.3 10.5717 6.3666"117" 900 36.5 39 41.4 11.1366 7.4934"118" 650 36.5 39 41.4 11.1366 6.003"119" 820 36.6 39 41.3 12.4313 7.3514"120" 850 36.9 40 42.3 11.9286 7.1064"121" 900 37 40 42.5 11.73 7.225"122" 1015 37 40 42.4 12.3808 7.4624"123" 820 37.1 40 42.5 11.135 6.63"124" 1100 39 42 44.6 12.8002 6.8684"125" 1000 39.8 43 45.2 11.9328 7.2772"126" 1100 40.1 43 45.5 12.5125 7.4165"127" 1000 40.2 43.5 46 12.604 8.142"128" 1000 41.1 44 46.6 12.4888 7.5958"129" 200 30 32.3 34.8 5.568 3.3756"130" 300 31.7 34 37.8 5.7078 4.158"131" 300 32.7 35 38.8 5.9364 4.3844"132" 300 34.8 37.3 39.8 6.2884 4.0198"133" 430 35.5 38 40.5 7.29 4.5765"134" 345 36 38.5 41 6.396 3.977"135" 456 40 42.5 45.5 7.28 4.3225"136" 510 40 42.5 45.5 6.825 4.459"137" 540 40.1 43 45.8 7.786 5.1296"138" 500 42 45 48 6.96 4.896"139" 567 43.2 46 48.7 7.792 4.87"140" 770 44.8 48 51.2 7.68 5.376"141" 950 48.3 51.7 55.1 8.9262 6.1712"142" 1250 52 56 59.7 10.6863 6.9849"143" 1600 56 60 64 9.6 6.144"144" 1550 56 60 64 9.6 6.144"145" 1650 59 63.4 68 10.812 7.48"146" 6.7 9.3 9.8 10.8 1.7388 1.0476"147" 7.5 10 10.5 11.6 1.972 1.16"148" 7 10.1 10.6 11.6 1.7284 1.1484"149" 9.7 10.4 11 12 2.196 1.38"150" 9.8 10.7 11.2 12.4 2.0832 1.2772"151" 8.7 10.8 11.3 12.6 1.9782 1.2852"152" 10 11.3 11.8 13.1 2.2139 1.2838"153" 9.9 11.3 11.8 13.1 2.2139 1.1659"154" 9.8 11.4 12 13.2 2.2044 1.1484"155" 12.2 11.5 12.2 13.4 2.0904 1.3936"156" 13.4 11.7 12.4 13.5 2.43 1.269"157" 12.2 12.1 13 13.8 2.277 1.2558"158" 19.7 13.2 14.3 15.2 2.8728 2.0672"159" 19.9 13.8 15 16.2 2.9322 1.8792
Need help with exponential functions
An exponential model should be used to model data if:A scatter plot of ln y versus ln x fits a linear pattern.A scatt ...
Need help with exponential functions
An exponential model should be used to model data if:A scatter plot of ln y versus ln x fits a linear pattern.A scatter plot of y versus ln x fits a linear pattern.A scatter plot of y versus x fits a linear pattern.A scatter plot of ln y versus x fits a linear pattern.Which system of equations can be used to find the exponential function that passes through the points ) and ?a. 2 = a(25/4)^b 4 = a(625/4)^bb. 25/4 = ab^2 625/4 = ab^4c. 25/4 = a(2)^b 625/4 = a(4)^bd. 2 = ab^(25/4) 4 = ab^(625/4)Which system of equations can be used to find the power function that passes through the points (2, 10) and (8, 25)?2 = a(10)^b8 =a(25)^b10 = a(2)^b25 = a(8)^b2 = ab^108 = ab^2510 = ab^225 = ab^8Complete the sentence with the best answer.A power model should be used to model data if:a. A scatter plot of ln y versus ln x fits a linear pattern.b. A scatter plot of ln y versus x fits a linear pattern.c. A scatter plot of y versus ln x fits a linear pattern.d. A scatter plot of y versus x fits a linear pattern.Which table of values shows ln y versus x for the data below?a. b. c. d. Which of the following exponential models can be used to model the data below?a. b. c. d. Which exponential function goes through the points and ? a. b. c. d. Which of the following tables of values shows ln y versus ln x for the data points below?a. b. c. d. Which of the following power models can be used to model the data below? a. b. c. d. Find a power function that passes through the points (2.9, 9.4) and (7.3, 12.8). a. b. c. d.
How is the rejection region defined and how is that related to the z-score and t
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to ...
How is the rejection region defined and how is that related to the z-score and t
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?
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