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Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6

Factorise the quadratic: (4x + 3)(x - 2)

x = -0.75

x= 2

Now substitute these...

DA
Answered by Damilola A. Maths tutor
10301 Views

Why is it not '我是好'? In basic adjectival sentences, why is the copula verb 'to be' not used?

Take the simple sentence 'I am good' - 'I' is the subject, 'am' is the first-person of the verb 'to be', and 'good' is the adjective.In English, the verb 'to be' is needed in adjectival sentences to link ...

KY
Answered by Kwan Yee L. Mandarin tutor
7612 Views

How do we differentiate y=a^x when 'a' is an non zero real number

Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(ax) ln(y)=x(ln(a))    using our rules of logsFrom here we differentiate. T...

MJ
Answered by Marcus J. Maths tutor
8110 Views

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x2+8x+(m-7)=0From here we can see it takes the form ax2+bx+...

MJ
Answered by Marcus J. Maths tutor
5102 Views

What are cases?

Every word has a function in a sentence. Sometimes, we can take words away and the sentence still makes sense. However, at other times, some words are essential for the sentence to not sound 'odd.' Say...

ML
Answered by Marcus L. German tutor
4586 Views

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