Simplify. Write your answers in the form of a+bi, where a and b are real numbers.3i(5 - 4i)

A. 12 - 15i
B. -12 + 15i
C. 12 + 15i
D. 15i - 12i2


Answer: C

Mathematics

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Estimate the volume of the solid that lies above the square R = [0, 4] x [0, 4] and below the elliptic paraboloid f( x, y) = 68 - x² -y².

What will be an ideal response?

Mathematics

Solve the problem.A manufacturer's cost is given by C = 100  + 200, where C is the cost and n is the number of parts produced. How many parts are produced when the cost is $2000?

A. 324 B. 46,656 C. 5832 D. 1800

Mathematics

Factor the trinomial completely, or state that the trinomial is prime.12x2 - 7xy - 12y2

A. (12x + 3y)(x - 4y) B. (4x + 3y)(3x - 4y) C. prime D. (4x - 3y)(3x + 4y)

Mathematics

Find the relative extrema of the function and classify each as a maximum or minimum.f(x) = x2 + 7x - 6

A. Relative maximum:  
B. Relative minimum:  
C. Relative minimum:  
D. Relative maximum:  

Mathematics