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Given that y = 2^x, express 4^x in terms of y.

4^x = (2*2)^x =2^x * 2^x = y^2

Answered by Benjamin M. • Maths tutor

12679 Views

Solve the inequality 􏰂|2x + 1|􏰂 < 3|􏰂x − 2|􏰂.

(2x+1)²< 9(x-2)²4x²+4x+1 < 9(x²-4x+4)4x²+4x+1 < 9x²-36x+360 < 5x²-40x+35Apply quadratic equation solving formula (...

Answered by Alejandra T. • Maths tutor

8974 Views

The exchange rate between dollars and euros(€) is €1 = $1.158 . (a) Felicity changes €4900 into dollars. Work out how many dollars she receives.

4900*1.158=5674.2/1Felicity receives $5670 (to 3sf)

Answered by Alejandra T. • Maths tutor

5002 Views

The curve C has equation y=3x^3-11x+1/2. The point P has coordinates (1, 3) and lies on C . Find the equation of the tangent to C at P.

In order to find the gradient of a tangent to the curve C we must differentiate our equation for C.dy/dx= 9x²-11To find the gradient of a tangent at a specific point P we substitute the coordin...

Answered by Chloe W. • Maths tutor

5454 Views

Naoby invests £6000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8029.35 Work out the value of x.

The answer to the question can take a backwards approach. i.e. in order for you to make £8029.35 in 5 years from £6000, what does the yearly interest need to be.Since the interest is compounded, the yearl...

Answered by Arlind L. • Maths tutor

19334 Views