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Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.

To begin we need to simplify the expression. First we multiply out (4x–5)^2 to get 16x2+40x+25 and then we multiply out 5x(3x – 8) to get 15x2-40x. This makes the whole expression 16...

HW
Answered by Hannah W. Maths tutor
9988 Views

Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.

A curve crosses the x-axis when y=0, if we put that into the equation above we get the quadratic equation 0=8-4x-2x2. The solutions to this equation are the values of x where y=0, which is the ...

HW
Answered by Hannah W. Maths tutor
7895 Views

What factors affect the lattice enthalpy of an ionic solid?

We must remember that negative energies (in any context) generally represent energetically stable configurations and as the energy of a system increases, it will become more unstable.

Firstly, ioni...

SD
7949 Views

What are the similarities and differences between mitosis and meiosis?

Mitosis is the process by which a cell divides to give rise to two identical diploid daughter cells and is how all somatic cells are produced. Meiosis is the process by which a cell gives rise to four gen...

NS
Answered by Natasha S. Biology tutor
21513 Views

Can you explain induction and go through an example?

Induction is a method that can be used to prove that a mathematical statement holds for possitive integers, n. It usually consists of four steps, as follows:  1) Basis: Show that the statement to be prove...

AS
3126 Views

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