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Solve the following inequality: x^2 + x -12<0

Firstly we have to factorize the quadratic. We do this by finding two numbers that multiply to -12 and add to 1.Looking at the factors of 12 we can see that x 2 +x-12= (x-3)(x+4)because -3 x 4 = 12 and 4-3=1...
JS
Answered by Joy S. • Maths tutor
8295 Views

Make y the subject of the following equation: 2x - y = 5

If we want to make y the subject of our equation, we need to re-arrange our equation so that y is on its own on one side of the equation. Such as y=...To re-arrange our equation, we need to decide if we want...
MW
Answered by Myles W. • Maths tutor
12760 Views

What is legitimacy and how is it gained?

Legitimacy is rightful authority. This means the right to assert power over other people. Legitimacy according to political thinker Max Weber has 3 sources:Traditional - this means that people see it somethi...
SR
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When do I use "sein" and when do I use "haben" in the past tense

&quot;Sein&quot; means literally &quot;to be&quot;. &quot;Haben&quot; means &quot;to have&quot;. When using the past tense, where there is motion you use &quot;sein&quot; with the appropriate pronoun and the...
SR
Answered by Sebastian R. • German tutor
2126 Views

Solve (3x-2)/4 -(2x+5)/3 =(1-x)/6

The easiest way to solve this is to first eliminate the denominators by multiplying the whole expression by the lowest common multiple of 4, 3 and 6. In this case it is 12. If each fraction is multiplied by ...
MA
Answered by Mariam A. • Maths tutor
18570 Views