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Express x^2-4x+9 in the form (x-p)^2+q where p and q are integers

The first step would be to expand the second equation:(x-p)^2+qx^2-px-px+p^2+q

this simplifies to x^2-2px+p^2+q

After this you examine the two equations and identify their similariti...

Answered by Mark N. • Maths tutor

14811 Views

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

13749 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

9296 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

5178 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

5680 Views