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To factorise a quadratic in the form ax^2+bx+c we need to find 2 numbers which add to get b and multiply to get c. In this case a=1, b=1 and c=-12. Two numbers which add to 1 and multiply to -12 are 4 and...

80F = 100 | F = 10/8 | 3(10/8) = 3.75 | Therefore, 3.75% of the batteries are faulty.

The curve and the line will intersect when the two expressions are equal, so:4x²+ 5x + 3 = x + 2 (eliminating y and putting the expressions in terms of one variable).4x²+ 4x + 1 = 0(...

6x² + 4x - 10 = 0
6x² + 10x - 6x - 10 = 0
2x(3x + 5) - 2(3x + 5) = 0
(2x - 2)(3x + 5) = 0
Case 1:
2x - 2 = 0
2x = 2
x = 1
Case 2:
3x +...

Evaluate each bracket first. We have:(2a + a)x(5a - a) = (3a)x(4a)Then, multiply both brackets.(3a)x(4a) = 12a²