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Solve the following simultaneous equations: x^2 + 2y = 9, and y = x + 3.

Label the two equations as the following: x2 + 2y = 9 y = x + 3 Equation 2 can be substituted into equation 1, giving: x2 + 2( x + 3 ) = 9Expanding the brackets and subtracting ...

XB
Answered by Ximena B. Maths tutor
4179 Views

What problems can one find with a utilitarian view of ethics?

One of the most important objections to utilitarianism is the objection from moral dilemmas. If one course of action can bring about more 'utility' or flourishing than another, then it is the moral thing ...

AD
2035 Views

How do I solve simultaneous equations by substitution?

You can solve simultaneous equations by either substitution or elimination. Say we have the equations:(1) 8y + 6x = 24 and (2) 2y - x = 6SUBSTITUTION METHODFirst, you need to find x in terms of y (or y in...

JN
Answered by Joshua N. Maths tutor
3016 Views

Find all values of x in the interval 0 ≤ x ≤ 2pi for 2sin(x)tan(x)=3

This questions involves the use of trigonometric identities, specifically [1] tan(x) = sin(x)/cos(x) and [2] sin2(x) + cos2(x) = 1.
Start by rearranging the given equations to ...

JC
Answered by Jasmin C. Maths tutor
6675 Views

Describe the role of bile in the digestive system

Bile is made in the liver and stored in the gall bladder. Bile emulsifies fatty acids and lipids, breaking large chains into smaller droplets. This increases the surface area for enzymes (lipase) to act o...

BP
Answered by Bella P. Biology tutor
16079 Views

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