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State the nth term of the following sequence: 3, 7, 11, 15, 19

First we look at the jump between each term:7-3=4, 11-7=4, 15-11=4, 19-15=4So we know that the difference in each step is 4. So our expression with look like 4n+d for some number d.Comparing what we have ...

HD
Answered by Huw D. Maths tutor
6681 Views

The equation (k+3)x^2 + 6x + k =5 has two distinct real solutions for x. Prove that k^2-2k-24<0

We argue using the discriminant of a quadratic polynomial. For a quadratic ax^2 + bx + c=0, the discriminant D is D = b^2 - 4ac. When this quadratic has two distinct real roots, we have that D > 0. So ...

HD
Answered by Huw D. Maths tutor
15841 Views

I don't understand why the function "f(x)=x^2 for all real values of x" has no inverse. Isn't sqrt(x) the inverse?

I don't understand why the function "f(x)=x^2 for all real values of x" has no inverse. Isn't sqrt(x) the inverse?
I like to think of a function a bit like a machine. It takes in a number, ...

BM
Answered by Benjamin M. Maths tutor
5278 Views

What is the central dogma of molecular biology?

It explains the flow of information in biological systems, especially in eukaryotes. It can be simplified to "DNA makes RNA makes protein". This explains how DNA, which is passed down the genera...

KM
Answered by Kalyan M. Biology tutor
4232 Views

Is breaking the law always immoral? Discuss.

Most importantly, answers to essay questions in the LNAT need to be relevant and well-written. These are the qualities of a good lawyer.
The answer to this question should therefore demonstrate a ba...

BW
Answered by Beatrice W. LNAT tutor
2563 Views

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