what is x?
(Factorise)
X^2 + 7x + 11 = 0
(Use the quadratic formula)
£132 in the ratio 3:8 as 36 and 96.
A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two quantities of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol. As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio= 3:8
Now, total = 3+ 8 = 11
So, First
£132 x 8/ 11
= 12 x 8
= 96
and, second
132 / 3/11
= 12 x 3
= 36
Hence, £132 in the ratio 3:8 as 36 and 96.
Learn more about ratio here:
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The student's answer is incorrect because they failed to factor out a common factor of 8. The correct factorisation of the trinomial 8x^2 -8x-16 is 8(x - 2)(x + 1).
The student's answer of (x-2)(x+1) is incorrect for the trinomial 8x^2 -8x-16. The first step in factoring a trinomial is to look for a common factor in all terms. In this case, we have a common factor of 8, so we can rewrite the trinomial as 8(x^2 - x -2). Then we can factorise the quadratic equation, x^2 - x - 2, within the parenthesis using the general formula ax²+bx+c = 0, where the solutions or roots can be calculated using the formula -b ± √b² - 4ac over 2a. Factoring this equation gives us (x - 2)(x + 1) but because of the initial 8 we factored out, the correct factoring of the trinomial would be 8(x-2)(x+1).
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keep your answer in simplified radical form.