3. Algebraically determine the value of n using the equation below Expectations = 42 n! (n-2)! Each step is written out as an equation, with expressions or values clearly stated on both sides. Solving each factor individually e.g. (7x+1)(x6) = 0 7x+1 = 0 x-6=0 x = 1, 6 If multiple solutions are determined, reasoning is provided for any claims of solutions being extraneous. MODULE 8

Q: -12 -4n = 20 Solve for N

A: Given, -12 - 4n = 20 => -4n = 20 + 12

Q: Solve for x. −1+ 1+x+x² + ··· + x² + 10 n where|x|<1. 3 x king and you will earn half credit for…

A: x = 1/5Explanation:

Q: a = 2x + 6xz solve for x

A: The given equation is: a = 2x + 6xz  To solve this equation for x, take the x common from the right…

Q: Can you solve b for this question! Solve it on paper

A: We have to solve part (b) as asked.

Q: Solve for the value of “x" |3 -4 7 2.) – 5x = 8 2 -6 -5 91

A:

Q: 3х +2 7а + 5 5а + 9 x+6

A: 1)The (7a +5) side of a First triangle is equal to the 5a+9 side of second triangle.  2) The side…

Q: 3. 3 2 P + 40 -7P+2 }}

A: Given differential equation  D3+4D2-7D+2=0

Q: solve the equestion y-8/5 +2=2/5-y/3

A: Given:

Q: 1. 4x + 7 = 3x + 4 - x

A: To solve 4x+7=3x+4-x

Q: Solve the equation In(n²+ 12) = In(-9n - 2) %3D

A:

Q: Show that the equation e +-23D0 has no real root which is less than 1.

A:

Q: Solve for X in the equation, where -1 5 5 -2 0 5 0 4 -1 A = and B 1 0 4 2X = A + B X =

A:

Q: 7. Solve for X given 27 and B = -1 -5 2 -4 4 A = 0 -9 -5 7X - 2A =-4B ) -9 3

A:

Q: X - 2y = 3  3x = 6y + 9 solve by substition

A:

Q: Find £-¹{ g²-6s+13} 1 S L

A:

Q: r. (13x – 32)° (7x+22)

A:

Q: X +2x, = 4 X; – 3x, – 3x, = 2 Xy + xj = 0

A: We will use substitution method to find the value of unknowns.

Q: The value X1.1 -2 x1 + - X1 + x2 + 7 x3 = -6 4x1 — Х2 — Хз %3D 3 6 x2 + x3 = 9

A:

Q: 12) Solve for x: /8r - 2= V5x + 10

A:

Q: d) Solve (0.8x?y³z– 0.6xy²z² +0.4y²) + (0.2y²)

A:

Q: 3. a) Solve (7 + 4x) = (5x - 2) + 2                        2                3   b) (3P)1/2 + M = N…

A:

Q: 5) Solve for x. (7x- 20) (4x + 16)°

A: Given angles are pair of alternate exterior angles. Therefore, They are equal.

Q: Find the exact solution for 10e4x+2 + 5 = 62x-1.

A: Given equation 10e4x+2+5=56 We have to find the exact solution for a given equation. Formula Used:…