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Out of a sample of 80 batteries, 3 are faulty. What percentage of the batteries are faulty?

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

Answered by Patrick S. Maths tutor
6151 Views

Show the curve y = 4x^2 + 5x + 3 and the line y = x + 2 have exactly one point of intersection

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(...

Answered by Jacob H. Maths tutor
2489 Views

Factorise and find the solutions of the equation 6x^2 + 4x -10 = 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 +...

Answered by Cathy H. Maths tutor
3609 Views

Simplify the expression: (2a + a)x(5a - a)

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

Answered by Jonas O. Maths tutor
3810 Views

Solve 6/(x-3) + x/(x+4) = 1

(6(x+4) + x(x-3) )/ ((x-3)(x+4)) = 1 obtain a common denominator and write as one fraction. (6x+24+x2-3x ) /( x2-3x+4x-12) = 1 multiply out the brackets. (x2+3x+24)/ (x

Answered by Jana R. Maths tutor
2113 Views

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