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Solve this I will graph it Y greater than or equal to -4 Xgreater than or equal to 5 8-3x>_ 23 and 4x-4> 8 -3x >= 15 and 4x > 12 x <= -5 and x > 3 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 -----] (------ -3/8x>_ -7/16 Multiply by -8/3 and flip the sign: X <= 7/6 Hockey team receive 2 points when they win and 1 when they tie. One season, a team won a championship with 69 point. They won 12 more games than they tied. How many wins and how many ties did the team have? W = 12 + t 2w + t = 69 2(12+t) + t = 69 24 + 3t = 69 3t = 45 T = 15 W = 27 8x-b<_ -5 or x-8>_ 7 PLEASE REWRITE THIS ONE, should it say “b”? ¾{5x-1/2}-2/3<4/3 Add 2/3 ¾(5x – ½) < 2 Mult 4/3: (5x – ½) < 8/3 Add ½: 5x < 19/6 Divide by 5: X < 19/30 The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by formula, or model, I= 700w/h to second power, where w = weight, in pounds. And h = height, in inches. Jerome is 76 inches tall. What weights will keep his body mass index between 19 and 28? PLEASE confirm that it says 700w/h^2, not just h, but h squared 19 < 700*w/76^2 < 28 19*76^2 < 700w < 28*76^2 19*76^2/700 < w < 28*76^2/700 Rounded: 157 < w < 231 0.3x-0.2y = 4 0.2x+0.5y = -75/17 X = 100/17 Y = -190/17 The perimeter of a rectangle is 208 inches. The length exceeds the width by 70 inches. Find the length and the width. 208 = 2w + 2l L= w + 70 208 = 2w + 2(w+70) 208 = 4w + 140 4w = 68 W = 17 L = 87 Solution is (5,-5) Is the system consistent or inconsistent and are they dependent or independent Consistent, independent (since there is exactly one solution) A bank offers two checking plans. The anywhere plan charge 25 cents per check. The accucheck plan costs 4.48 A MONTH, PLUS 19 CENTS PER CHECKS. For what number of check will the accucheck plan cost less than anywhere plan? 25x = 448 + 19x 6x = 448 X = 74.6666666 Round to 75 checks Solve . clssify the system as consistent or inconsistent and the equation as dependent or independent. 6x- y =31 6X+7Y = 23 X = 5, y = -1 Y + 2< 6 Y<4 2 3 4 5 6 -------) X + Y<4 WRITE INTERVAL FOR THE SET{X|-1>X>-5} (-5,-1) --- assuming that there are no >= Solve . clssify the system as consistent or inconsistent and the equation as dependent or independent. X= 9 Y= -8 PLEASE rewrite this Solve by the substitution method 8x +3y = -47 -5x + y = 38 X = -7, y = 3 Determine whether the given numbers are solution of the inequality 1,-17,-11,-2 y-10>2y-4 -y-10 > -4 -y > 6 Y < -6 1 NO, -17 YES, -11 YES ,-2 NO 5(5-4x) + 7x < 4 (7 +4x) 25 – 20x + 7x < 28 + 16x 25 – 13x < 28 + 16x -13x < 3 + 16x -29x < 3 X > -3/29 Solve by the elimination method 3x + 3y = -21 4x- 3y = -42 X = -9, y = 2 Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turn out twice as many units of plywood as lumber. It makes a profit of $25 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $13000. P = 2L 25L + 50P = 13000 25L + 100L = 13000 L = 104 P = 208 Determine whether the ordered pair is a soution of the inequality (-6,8); 4x + y<-8 4*-6 + 8 = -16 YES, -16 < -8