In Problems 5–14 solve the given linear system.
11.
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- #6 onlyarrow_forward11. The general equation for a family of quadratic functions is y = a(x + 1)(x - 3). Find the equation of the member that contains the point (-2, 15). * O y= (x+ 1) (x - 3) O y= 3(x + 1) (x – 3) O y = -3(x + 1) (x - 3) O y= -(x + 1) (x – 3)arrow_forward6. (2x +3y = 0 /2x x+2y =-1 9. (1 1 -X+-y 5 1, -x+y%3D10 4arrow_forward
- b. Are there any critical values for either graph? Where are the intersections between the two? What do these intersections represent? c. Find the points where the hours of daylight are at a maximum/minimum. Around what time of the year are these points? Compare the information. d. What tools did you use to solve this problem? What other ways could you have come to find the same solution? e. How many hours of daylight are in each location at t=5? at t=8?arrow_forwardIf L(x)=mx+b is the linearization of the cube root of 3x+1 at x=333 , then b=arrow_forward1. 3x + y – 2z = 10 6x – 2y + z = -2 x + 4y + 3z = 7arrow_forward
- 1.2 Find the general solution of dy -2x6 dr +y = y-4arrow_forward9. Deternine if S = (7 - 4x + 4x²,6 + 2x − 3x²,20 − 6x + 5x²) is linearly independent or dependentarrow_forward3) Personal taxes Suppose that the percent of total personal income that is used to pay personal taxes is given by y = 0.034x² – 0.044x + 12.642 where x is the number of years past 1990 (Source: Bureau of Economic Analysis, U.S. Department of Commerce). (a) Verify that x = 7 is a solution of 14 = 0.034x² – 0.044x + 12.642. (b) Find the year or years when the percent of total per- sonal income used to pay personal taxes is 14.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning