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Factorise x^2 - 14x + 49

(x - 7)^2

SK
Answered by Shikhar K. Maths tutor
3095 Views

Define what is meant by GDP, and explain the limitations of using it as a proxy for economic growth.

GPD, or Gross Domestic Product, can be defined as the total value of goods and services produced in an economy over a given period of time; specifically, GDP includes all private and public consumption, g...

Answered by Economics tutor
2060 Views

A curve has the equation y = 4x^2 + 5x + 3 and a line has the equation y = x + 2. Show that the line and the curve have one point of intersection.

Set the equations equal to each other: 4x^2 + 5x + 3 = x + 2Collect terms and set equal to 0: 4x^2 + 4x + 1 = 0Factorise the equation: (2x + 1)(2x + 1) = 0Can now find the value of x: 2x + 1 = 0, therefor...

FG
Answered by Francesca G. Maths tutor
6308 Views

A curve has the equation y=x^2+4x+4 and a line has the equation y=2x+3. Show the line and curve have only one point of intersection and find its coordinate..

First set the equations equal to each other: x^2+4x+4 = 2x+3.Rearrange for x in form ax^2+bx+c : x^2+2x+1=0Factorise: (x+1)^2=0. Repeated root, hence only one intersection. x=-1. Using y=2x+3, y=1. So coo...

EF
Answered by Ewan F. Maths tutor
4194 Views

Discuss the depiction of nature in two paintings by British artists.

The way in which British artists depicted nature changed considerably as different artists of different periods adapted it to their contemporary. Before the eighteenth-century paintings of nature was seen...

JS
2204 Views

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