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Express '2x^2 + 8x + 30' in the form 'a(x+b)^2 + c'

b = B/2A = 8/(2x2) =8/4 = 2
c = C-((B^2)/4A) = 30-((8^2)/(4x2)) = 30-64/8 = 30-8 = 22
=> 2x^2 + 8x + 30 = 2(x+2)^2 + 22

Answered by Charles C. • Maths tutor

4345 Views

y = 2ln(2x + 5) – 3x/2 , x > –2.5 find an equation to the normal of the curve when x = -2

2x + 5y = 11

Answered by Shabeer A. • Maths tutor

4905 Views

Solve the following simultaneous equations: A. 2x-2y=18 and B. 3x+y=23

Step 1: Rearrange one equation to make y the subject. In equation B, we can move the 3x to the other side, making it negative and making the equation y=23-3xStep 2: Substitute our new value for y into equ...

Answered by Sahil M. • Maths tutor

3884 Views

The probability that it rains on a given day is 0.15. The probability that a football match is cancelled when it rains is 0.65. If it doesn't rain, the probability that the match is not cancelled is 0.95. What is the chance that the match is cancelled?

The aim here is to find the probability that the football match is cancelled in both the case that it rains and in the case that it doesn't. This helps to break the question down; we can find the probabil...

Answered by Matthew T. • Maths tutor

6057 Views

How do you solve simultaneous equations.

Step 1. Pick one of the equations and move all of the x values to one side of the equal and move all others to the other side e.g X = 2y + 3Step 2. Make sure the X value is not times by a number e.g 2...

Answered by Taylor M. • Maths tutor

2598 Views