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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
OW
Answered by Oliver W. • Maths tutor
4708 Views

Solve the simultaneous equation: 4x-11y=34 and 2x+6y=-6

When solving a simultaneous equation, we will use the elimination method. This method sees us removing or ‘eliminating’ the x or y term. First we need to find the lowest common multiple of the x and y terms ...
CB
Answered by Charlie B. • Maths tutor
3670 Views

Will a solid ionic compound conduct electricity ?

Electricity is conducted by electrons or ions. In order for an ionic compound to conduct electricity, the ions must be able to move freely and carry the charge throughout the solution. A solid ionic compound...
SR
Answered by Sabah R. • Chemistry tutor
2772 Views

A curve with equation y = f(x) passes through the point (4,25). Given that f'(x) = (3/8)*x^2 - 10x^(-1/2) + 1, find f(x).

f'(x) = (3/8) x^2 - 10x^(-1/2) + 1Each term must be integrated (increase the power by 1 and divide by the new power), remembering to include + c.f(x) = (3/8) (x/3)^3 - 10*(2x)^(1/2) + x + cf(x) = (1/8) x^3 -...
OW
Answered by Oliver W. • Maths tutor
9134 Views

Find the roots of 2x^2-2x=3, leaving your answer in it's simplest exact form.

First we need to rearrange our equation so it is in the correct form of ax 2 +bx+c=0.So we'd move the 3 over to the left hand side to give us 2x2-2x-3=0.We need to use the quadratic formula. Using x=( -b+/-(...
JA
Answered by Jake A. • Maths tutor
5165 Views