For Exercises 49-50, use Cramer’s rule to solve for the indicated variable.
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College Algebra (Collegiate Math)
- The discriminant of ax2 + bx + c = 0 is defined by_________.arrow_forwardSolve the following systems using Cramer’s rule. 2x1 + 2x2 - x3 = 3 3x1 - 4x2 + 2x3 = 1 8x1 - x2 - 3x3 = 4arrow_forwardUse Cramer’s rule to solve each of the following systems: x1 + 3x2 + x3 = 1 2x1 + x2 + x3 = 5 −2x1 + 2x2 − x3 = −8arrow_forward
- In the following diagram, AB∥EH∥FC 5.1.1 Eˆ1 5.1.2 Hˆ2 5.1.3 x 5.1.4 y 5.1.5 marrow_forwardfind A1 ∩B1 , GIVEN THAT U= {x ∈ z/ - 7} A= {x ∈ Z+ /2 < x < 6} B= {X ∈ Z- / - 6 < X < - 2}arrow_forwardDetermine which of the equations below could be the class equationgiven in the proof of Theorem 24.2. For each part, provide yourreasoning.a. 9 = 3 + 3 + 3b. 21 = 1 + 1 + 3 + 3 + 3 + 3 + 7c. 10 = 1 + 2 + 2 + 5d. 18 = 1 + 3 + 6 + 8arrow_forward
- Use Cramer’s rule to solve each of the following systems: 2x1 + 3x2 = 2 3x1 + 2x2 = 5arrow_forwardIf A ∈ R^n×n is invertible, show that AB is similar to BA for all B ∈ R^n×n.arrow_forwardA meteorologist claims that the average high temperature for the month of August in Chicago, Illinois is 83 degrees. If the residents of Chicago do not believe this to be true. what hypothesis should they test? Let mu be the average high temperature for the month of August in Chicago. Group of answer choices H0: mu = 83 versus Ha: mu < 83 H0: mu = 83 versus Ha: mu > 83 H0: mu = 83 versus Ha: mu is not equal to 83arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning