10/25/2007===blue=========== Solve by linear combination. Show work. 1. 2x+2y=6 (-1,4) 4x+2y=4 2. -2y -6 +x = 0 (-2,-4) 4x-3y=4 3. (3/2)x-(1/2)y=3 (16/5, 18/5) -x+2y=4 If Ax +By = C Dx +Ey = F then CE-BF x= ------------- AE-BD and AF-CD y = ----------- AE-BD NOTE how the program crashes. Program SYST completes the computation. PROGRAM:SYST :Input "A",A :Input "B",B :Input "C",C :Input "D",D :Input "E",E :Input "F",F :C*E-B*F -> G :A*F-C*D -> H :A*E-B*D -> I :G/I ->X :H/I ->Y :Disp X :Disp Y Solve by linear combination. Show work. 1. 2x+4y=6 x-3y=6 2. Ax + By = C Dx + Ey = F 10/24/2007===gray=========== DO now. 1. There are pennies and dimes and nickels in a bank. There are 6 more dimes than nickels. There are three fewer pennies than nickels. Write an expression for the value of the coins. (coins) (pennies)+5(nickels)+10(dimes) (n-3)+5(n)+10(n+6) pg 18, #53 An apple has 29 more calories than a peach, 13 fewer calories than a banana. If a peach has p calories, then there are ? calories in a fruit salad made with one apple, 2 peaches, and one banana. (fruit salad) 1(apples)+ 2(peaches)+1(banana) 1(p+29)+ 2(p)+1(banana) PG 17, #31? write the expression, not the equation You know x+y=17 that means that -x -x ------------ y=17 -x the answer is 17-x, an expression pg 18,#53: (fruit salad) 1(apples)+2(peaches)+1(banana) 1(29+p)+2(p)+1(13+p) 29+p + 2p + 13 + p 4p +42 10/24/2007===yellow=========== DO now. 1. There are pennies and dimes and nickels in a bank. There are 6 more dimes than nickels. There are three fewer pennies than nickels. Write an expression for the value of the coins. coins PG 17, #31 write the expression, not the equation You know x+y=17 that means that -x -x ------------ y=17 -x the answer is 17-x, an expression pg 18,#53: (fruit salad) 1(apples)+2(peaches)+1(banana) 1(29+p)+2(p)+1(13+p) 29+p + 2p + 13 + p 4p +42 pg 55 #20, 24 24. 2 + (-9) + (-y ) + (-11) -7 + -11 + -y -18 - y -18 + -y 20. (-3 2/5) + (- 1 4/5) = - 5 1/5 26. 21 + 4b -17 -12 4b + 21 -17 -12 4b +4 -12 4b - 8 30. 4x + [8 + (-5) + (-7)] 4x + [3 + (-7)] 4x + [-4] 4x - 4 23-30. Solve by linear combination. Show work. 1. 2x+4y=6 x-3y=6 2. Ax + By = C Dx + Ey = F 10/25/2007===red=========== Solve by linear combination. Show work. 1. 2x+2y=6 (-1,4) 4x+2y=4 2. -2y -6 +x = 0 (-2,-4) 4x-3y=4 3. (3/2)x-(1/2)y=3 (16/5, 18/5) -x+2y=4 If Ax +By = C Dx +Ey = F then CE-BF x= ------------- AE-BD and AF-CD y = ----------- AE-BD NOTE how the program crashes. Program SYST completes the computation. PROGRAM:SYST :Input "A",A :Input "B",B :Input "C",C :Input "D",D :Input "E",E :Input "F",F :C*E-B*F -> G :A*F-C*D -> H :A*E-B*D -> I :G/I ->X :H/I ->Y :Disp X :Disp Y 10/24/2007===green=========== Study for quick quiz on statistics and normal curves. 1. There are 400 students in a high school. If their heights are normally distributed, what percent are in the 5th stanine? 2. Suppose you know the average height is 180 cm, and the standard deviation is 6 cm, how many students are taller than 192 cm? 10/24/2007===pink=========== 1. There are 400 students in a high school. If their heights are normally distributed, what percent are in the 5th stanine? 2. Suppose you know the average height is 180 cm, and the standard deviation is 5 cm, how many students are taller than 196 cm? 10/23/07 blue========= Solve a system by linear combination. 2y+x=6 4x -2y=12 2x-y= -3 2x-y= -5 2x-y=-3 8x-4y=-12 10/23/2007 ============gray 1. Get out yesterday's work & homework & put it on desk. 2. DO NOW: Simplify: [-2+3[4(2-3)-5(4)^0]]-3 PG 17; write the expression, not the equation You know x+y=17 that means that -x -x ------------ y=17 -x the answer is 17-x, an expression pg 18,#53: (fruit salad) 1(apples)+2(peaches)+1(banana) 1(29+p)+2(p)+1(13+p) 29+p + 2p + 13 + p 4p +42 10/23/2007 ============yellow 1. Get out yesterday's work & put it on desk. 2. DO NOW: Simplify: [-2+3[4(2-3)-5(4)^0]]-3 PG 17, #31? write the expression, not the equation You know x+y=17 that means that -x -x ------------ y=17 -x the answer is 17-x, an expression pg 18,#53: (fruit salad) 1(apples)+2(peaches)+1(banana) 1(29+p)+2(p)+1(13+p) 29+p + 2p + 13 + p 4p +42 1:48 PM 10/23/2007 === green==== standard deviation - standard average spread stanine = standard nine intervals 1. Draw a normal, bell, curve. 2. Label the number or symbol in the center of the bottom number line. given: 2, 4, 6, 8, 20 3. compute mean 4. compute mode 5. compute median every villain is lemons. 10/23/2007 PINK========= stanine standard deviation normal curve with stanines normal curve with stanines\fs average - a one number description of a set of numbers *mean, x bar - add up the numbers and divide by how many numbers there are (5+5+10+0+5)/5 = 5 mean is 5 *median- the middle number when numbers are listed from lowest to highest 5, 5 ,10, 0, 5 ---> 0,5,5,5,10 median is 5 *mode- the number that has the highest frequency uses on a report card employer politician example: 5, 5 ,10, 0, 5 range - difference between highest and lowest standard deviation - the standard average spread ================= 10/22/07 BLUE=========== intersecting independent parallel inconsistent coincident dependent y=mx+b Ax+By=C the slope is not A, not C, not B, not A/B, is -A/B Solve system mentally. 1. slopes are different therefore 1 solution x-2y= -2 -3x-6y=-6 2. same slope, different intercepts, therefore parallel and NO SOLUTION y=-2x+4 y=-2x+5 3. 5x+5y=10 10x+10y=12 4. y=4x-1 8y=8x+8 HW: pg 128-129: orals,1-31 odd 10/22/07 GRAY ========== MONDAY: pg 16: 1-54 odd, finish LITE TUESDAY: pg 55 orals, 1-43 odd, pg 57/1-14 odd WEDNESDAY: pg 55/1-43 even, 57/1-14 evens THURSDAY: quiz & other QB PUT your name in ink on each sheet. exp3to5 1235... x+1 -3x 5x 7x-3 the value of some dimes decreased by twice as many nickels five less than triple a number 5 decreased by tripple a number many nickels 10/22/07 YELLOW ========== MONDAY: pg 16: 1-54 odd, finifh LITE TUESDAY: pg 55 orals, 1-43 odd, 57/1-14 odd WEDNESDAY: pg 55/1-43 even, 57/1-14 evens THURSDAY: quiz & other QB the value of some dimes decreased by twice as 10x - 2x(5) 10x - 10x = 0 five less than triple a number 3x-5 5 decreased by tripple a number 5 - 3x many nickels 10/22/07 RED=========== Solve system mentally. 1. x-2y= -2 -3x-6y=-6 2. y=-2x+4 y=-2x+5 3. 5x+5y=10 10x+10y=12 4. y=4x-1 8y=8x+8 HW: pg 128-129: orals,1-31 odd 10/22/2007 PINK========= average - a one number description of a set of numbers *mean, x bar - add up the numbers and divide by how many numbers there are (5+5+10+0+5)/5 = 5 mean is 5 *median- the middle number when numbers are listed from lowest to highest 5, 5 ,10, 0, 5 ---> 0,5,5,5,10 median is 5 *mode- the number that has the highest frequency uses on a report card employer politician example: 5, 5 ,10, 0, 5 range - difference between highest and lowest standard deviation - the standard average spread 1. There are 400 students in a high school. If their heights are normally distributed, what percent are in the 5th stanine? 2. Suppose you know the average height is 180 cm, and the standard deviation is 6 cm, how many students are taller than 192 cm? pointless, inconsiquential, trivial!