Solve the following equations for x:

a. x2 + x - 6 = 0
b. 6x2 + 7x + 2 = 0
c. 3x2 + 12x - 36 = 0


a. x = 2, -3
1 2
b. x = -Ä, -Ä
2 3
c. x = -6, 2

Mathematics

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Determine all critical points for the function.f(x) = (x - 1)5

A. x = 1 B. x = 0 and x = 1 C. x = 1 and x = 5 D. x = 0, x = 1, and x = 5

Mathematics

If n is a natural number, then 10-n = . Negative powers of 10 can be used to write the decimal part of Hindu-Arabic numerals in expanded form. Express the expanded form as a Hindu-Arabic numeral.(3 × 10-1) + (7 × 10-2) + (9 × 10-3)

A. 3.79 B. 0.190 C. 0.379 D. 19

Mathematics

Provide an appropriate response.Use the following sets to give the elements in the indicated sets: U = {-3, -2, -1, 0, 1, 2, 3}, A = {-3, -2, -1}, B = {0, 1, 2}A ? B 

A. {-3, -2, -1, 0, 1, 2, 3} B. {-3, -2, -1, 0, 1, 2} C. {0} D. {}

Mathematics

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(x) = 3x5  on [1, 3] divided into 4 subintervals

A. 703.2 B. 175.8 C. 58.6 D. 103.8

Mathematics