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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
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Answered by Benjamin M. • Maths tutor
14692 Views

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

(2x+1) 2 &lt; 9(x-2) 2 4x 2 +4x+1 &lt; 9(x 2 -4x+4)4x 2 +4x+1 &lt; 9x 2 -36x+360 &lt; 5x 2 -40x+35Apply quadratic equation solving formula (40+30)/10=7 and (40-30)/10=1hence x&lt;1 and x&gt;7
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Answered by Alejandra T. • Maths tutor
9903 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)
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Answered by Alejandra T. • Maths tutor
5547 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= 9x 2 -11To find the gradient of a tangent at a specific point P we substitute the coordinates of P in...
CW
Answered by Chloe W. • Maths tutor
6134 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 yearly i...
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Answered by Arlind L. • Maths tutor
20866 Views