Solve for the unknown quantity on the following equations:

3x 1 4 2
a. ÄÄ + Ä = 9 c. ÄÄÄÄÄÄÄ + Ä = 3
4 4 (x + 1) 3

2 1 1 3
b. Ä + Ä = 4 d. Ä - Ä = 2
x 3 a b


a. 8x + 36
b. 10a2 + 6a
c. 6x2 + 9xy
d. 3xy + 7y2

Mathematics

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Simplify by combining pairs of like terms.-28p - 6p2  + 12p - 7p2

A. 16p - 13p2 B. -16p + 13p2 C. -16p - 13p2 D. -40p - 13p2

Mathematics

Determine the discriminant of the quadratic equation. Use the value of the discriminant to determine whether the quadratic equation has two rational solutions, two irrational solutions, one repeated real solution, or two complex solutions that are not real.x2 - 5x - 6 = 0

A. Two irrational solutions B. One repeated real solution C. Two complex solutions that are not real D. Two rational solutions

Mathematics

Solve the problem. Round your answer to the nearest tenth, when appropriate. Use the formula , as needed.Find the pH if [H3O+] = 1.0 × 10-3.

A. 3 B. 11 C. -11 D. -3

Mathematics

Determine between which two consecutive whole numbers each square root lies.

A. 13 and 14 B. 12 and 13 C. 10 and 11 D. 11 and 12

Mathematics