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Factorise the following equation: y = 2x^2 + 4x - 6

For this question, it is best to first take out a factor of 2 from the equation. This will leave you with y=2(x 2 +2x-3). We then need to work out the two numbers that will multiply to -3 and add to 2. We ca...
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Answered by Stephen C. • Maths tutor
4962 Views

Give the value of 15^0.

15 0 = 1 Anything to the power of 0 is always 1. See the examples below: 10 0 = 1; 25 0 = 1; 50 0 = 1.
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Answered by Ellie P. • Maths tutor
11506 Views

log_a(36) - log_a(4) = 0.5, what is a?

This is an example of a question you might face during a higher maths examination. It is also a great question to test what your understanding of logarithms and powers are. I have given a quick explanation b...
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Answered by Nasir A. • Maths tutor
1401 Views

Solve simultaneously 2x-y=2, 3x+2y=17 to calculate values of x and y.

This problem can be solved through substitution. The first equation provided in the question should be rearranged to give y=2x-2. This equation for y can be directly substituted into the second equation. Thi...
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Answered by Wasif R. • Maths tutor
6521 Views

Given that 3^(-3/2) = a* 3^(1/2), find the exact value of a.

3^(3/2) = a * 3^(1/2) 3^(1/2) * 3^(-2) = 3^(3/2)Therefore a must be equal to 3^(-2)a = 1/9
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Answered by Oliver W. • Maths tutor
4563 Views