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Prove that the multiple of an even number and an odd number is always even.

2n is even, so (2n+1) is odd ; Multiplying even by odd gives: 2n(2n + 1) ; which is a multiple of 2, thus even * odd = even.
OT
Answered by Oliver T. • Maths tutor
7004 Views

A person leaves their flat at 8:00am and travels to work at an average speed of 32 mph. They arrive at work at 9:15am. Calculate the distance they travel to work.

SUVAT equations give s = vt ; v = 32mph ; t = 1h 15mins = 1.25h ; s = 32 * 1.25 = 40 miles
OT
Answered by Oliver T. • Maths tutor
3589 Views

Write x^2+6x+14 in the form of (x+a)^2+b where a and b are constants to be determined.

Completing the square is a method that can be used to solve the quadratic equation x^2+6x+14 in the form of (x+a)^2+b. The way we find a and b is as follows:For constant a , is found by halving the coefficie...
CD
Answered by Chara D. • Maths tutor
9539 Views

Most cases of scarlet fever occur in children. Adults have usually developed immunity to a toxin that the Streptococcus bacteria produce during infection. Explain how an adult develops immunity to the toxin.

Previous exposure to the toxin confers immunity by eliciting an immune response whereby b-cells differentiate into plasma cells allowing the production of antibodies. These will in turn stimulate production ...
GS
Answered by Georgia S. • Biology tutor
9474 Views

Factorise x^2 + 4x + 4

Factorising takes the form of (x+a)(x+b) where in this case: a+b = 4 anda*b=4this is taken from the original equations coefficient to x and the constant value.factorising gives (x+2)(x+2) which is equivalent...
RS
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