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Circle the correct letter: The equation x^3 - 30x^2 + 108x - 104 = 0 has a) No real roots; b) Exactly one real root; c) Three distinct real roots; d) A repeated root.

Firstly, the polynomial is a cubic, and so we know what its graph looks like, hence it must have at least one real root, and a) is false. Computing a root would be time consuming, so instead we adopt a diffe...
VC
Answered by Valerio C. • MAT tutor
4106 Views

What is the solution to the system of equations defined by (1) x+2y = 4 and (2) y+2x = 6?

We rearrange equation (1) to obtain an expression in terms of x. We then substitute this expression in place of x in equation (2), rearranging to find the numerical value of y. This value of y can then be su...
JH
Answered by Jake H. • Maths tutor
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What is the value of the integral of e^x from x = 1 to x = 2?

As the derivative of e^x is e^x, so is the integral (plus some constant). As we wish to find the value of the integral from x = 1 to x = 2, we substitute x=2 into e^x, and from that we subtract e^x with x=1....
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Answered by Jake H. • Maths tutor
4602 Views

What is the difference between a Magistrates Court and a Crown Court?

It is helpful to know here that both of these courts are for criminal purposes. A Magistrates court will typically be used for smaller crimes such as not paying your speeding fine or being caught with drugs,...
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Answered by Lily O. • Law tutor
27373 Views

When do you use the present subjunctive in spanish?

The most important thing to remember is that the present subjunctive (and past) is a mood rather than a tense. It doesn't refer to the time at which an action takes place but instead is used in impersonal ex...
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Answered by Emma W. • Spanish tutor
6613 Views