Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.x2 + 7x - 6 = 0
A. One real solution
B. Two different real-number solutions
C. Two different imaginary-number solutions
Answer: B
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The peak of a roof is 19 feet tall. At the outside wall, 14 horizontal feet away, the roof is 8 feet tall. If the roof line were extended until it struck the ground, how many horizontal feet from the outside wall would that occur? ?
A. 10.72 feet B. 10.18 feet C. 14.00 feet D. 14.53 feet
Find the area of the figure using determinants.
A. 18.5 B. 17.25 C. 18.0 D. 19.0
Convert the constraints into linear equations by using slack variables.Maximize z = 4x1 + 12x2 + 7x3Subject to: 5x1 + 2x2 + x3 ? 12 x1 + 6x2 + x3 ? 24 x1 ? 0, x2 ? 0, x3 ? 0
A. 5x1 + 2x2 + x3 + s1 = 12 x1 + 6x2 + x3 + s2 = 24 B. 5x1 + 2x2 + x3 = s1 + 12 x1 + 6x2 + x3 = s2 + 24 C. 5x1 + 2x2 + x3 + s1 = 12 x1 + 6x2 + x3 + s1 = 24
Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.
A. (-4, 4, 0) B. (0, 4, -4) C. no solution D. (-4, 0, 4)