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- Solve by eliminating variables: x - 6y = -22, 2x + 4y - 3z = 29 and 3x - 2y + 5z = -17.At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers to her blog has been doubling every 6 months, thanks to some successful appearances on television. 1. By what factor is the number of subscribers increasing every month? I 2. Select all equations that represent the number of subscribers, S, in terms of m months since the beginning of the year (when she had 150 subscribers).Solve by graphing. 4x − 5y = 27 y= 9 − 4x (x, y) =
- Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, select all the equations that can be solved to find Sylvie’s hourly earnings. 110 – 16 = 10h 110 = 16h + 10 16 = 110 – h 110 = 16 + 10h 110 + 16 = 10hJane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road to B, or she could drive to some point, P, between B and C and then drive to B. If Jane drives her tractor 8 miles per hour across the field and 17 miles per hour on the road, find the point, P, where she should cut across the field to minimize the time it takes to reach B. [Hint: time = distance rate .]Solve the quadratic equation by completing the square. x2+9x-2=0 Here is how far I got: x2+9x-2=0 (adding 2 to both sides) x2+9x=2 (half of 9 is 9/2, and (9/2)2 is 81/4) x2+9x+81/4=2+81/4 (adding 81/4 to both sides) This is where I got stuck: That after adding 81/4 to both sides of the equation, it is x2+9x+81/4=89/4 Can someone tell me please how they got to 89/4?
- Decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation. y" - y' + y = (8e^6t + 4t)^8 If no, please explain why.Solve by Gauss-elimination: 3x+4y+5z =18, 2x- y+8z =13, 5x-2y +7z =20two numbers when multiplied equal 27 if one number is x and the other number is greater than x by 6 reprensent the infortion in an equation and express as a quadratic equation
- Solve by using either the addition method or the substitution method.1/8x + 1/5y = -31/207/8x + y5/8 = -31/4Mikayla believes that her score on an upcoming test can be modeled by the equation y=6.3x+60y=6.3x+60 where xx represents the number of hours spent studying, and yy represents Mikayla's test score. Assuming this equation is accurate, predict Mikayla's test score if she studies for 1.5 hours. Assuming this equation is accurate, predict Mikayla's test score if she studies for 4 hours.The chess club has $249 in its general fund and wants to raise additional funds to send its members out oftown for an upcoming tournament. The club decides to sell chess piece key chains as a fund-raiser. Aquantity of 192 key chains are purchased for $0.42 each, and all of them are sold for $2.50 each.Which of the equations below model this situation and can be solved to find x, the new balance in the club’sgeneral fund, after the fund-raiser? Select all that apply.A. $249 – 192($0.42) + 192($2.50) = xB. $249 + 192($2.08) = xC. 192($249 – $0.42 + $2.50) = xD. $249 + 192($0.42) + 192($2.50) = xE. $249 + 192($0.42 – $2.50) = xF. $249 + 192($2.50 – $0.42) = x