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Find the co-ordinates of the turning point of the line with equation y = x^2 + ax + b that passes through (1, 47) and (2, 60)

y = x² + ax + bWhen x=1:47 = (1)²+ a(1) + b47 = 1 + a + b46 = a + bWhen x = 260 = (2)²+ a(2) + b60 = 4 + 2a + b56 = 2a + b Let this be equation 1Let 46 = a + b be equati...

Answered by Henry M. • Maths tutor

2560 Views

make into a cartesian equation= x=ln(t+3) y= 1/t+5

e^x= t+3 t= e^x -3therefore y= 1/e^x-3+5y= 1/e^x+2

Answered by Ryan P. • Maths tutor

4943 Views

John wants to invest £100 into a savings account for 15 years. If he invests in saving account A he will receive 3.5% simple interest and if he invests in savings account B he will receive 3% compound interest. Which account should he choose and why?

100 + (3.5 x 15) = 152.50 100 x 1.03¹⁵ = £155.80 Therefore he should choose savings account B because after 15 years he will have gained more money through interest than in account A...

Answered by Victoria D. • Maths tutor

2641 Views

Find the two real roots of the equation x^4 - 5 = 4x^2 . Give the roots in an exact form. [4]

x⁴ - 5 = 4x². In order to find the roots of this equation we must factorise it, and, to do so, it must be rearranged such that all the terms are on one side. Therefore, subtract 4x

Answered by Sanjay S. • Maths tutor

7643 Views

ABC is an isosceles triangle such that AB = AC A has coordinates (4, 37) B and C lie on the line with equation 3y = 2x + 12 Find an equation of the line of symmetry of triangle ABC. Give your answer in the form px + qy = r where p, q and are integers (5

As we know that AC = AB, then it must be the case that BC is the base of the triangle (because it is isosceles). Therefore, the line of symmetry of the triangle ABC goes through the point A, and is perpen...

Answered by Sanjay S. • Maths tutor

16858 Views