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When do two simultaneous equations have a solution?

This question was put to someone during their teacher training. This is a good question to ask, it is very important in maths to know that something you intend to study does actually exist. To explain the qu...
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Answered by Dylan D. • Maths tutor
3561 Views

8^(3/4)*2^(x) = 16^(4/5). Work out the exact value of x.

8 = 2^3 and 16 = 2^4. Substituting these into the above equation, we get 2^(9/4)*2^(x) = 2^(16/5). Using the laws of indices, we can derive the equation (9/4) + x = (16/5). In decimal form, this is 2.25 + x ...
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Answered by Katherine S. • Maths tutor
6520 Views

Make x the subject of the formula 4(2x-y) = 3ax - 5

4(2x-y) = 3ax - 5Step 1 - Expand 8x - 4y = 3ax - 5Step 2 - Collect like terms 8x - 3ax = 4y - 5Step 3 - Factorise x(8-3a) = 4y - 5Step 4 - Isolate x x = (4y - 5)/(8-3a)
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Answered by Adam S. • Maths tutor
3738 Views

When should I use the present subjunctive?

The subjunctive is a mood expressing the uncertainty or doubt of a speaker. To express this uncertainty, the speaker switches from the indicative (hablo/hablas/habla/hablamos/hablais/hablan) to the subjuncti...
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Answered by Alarice H. • Spanish tutor
2360 Views

Identify three types of long-term memory and explain how each type is shown in an example of your choice.

One type of Long Term Memory is procedural memory. An example of when this is used is when riding a bike for example as an individual is remembering a muscle-based memory. Procedural memories are often recal...
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Answered by Fiona T. • Psychology tutor
3200 Views