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Solve the inequality 5x + 3 ≤ 3x − 6.

x ≤ -4.5
MD
Answered by Martina D. Maths tutor
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Graph question Q1a in AQA 2016

This is the link for the question, http://filestore.aqa.org.uk/sample-papers-and-mark-schemes/2016/june/AQA-ELEC1-QP-JUN16.PDF The diagram shows the relationships bewteen letters. C and D are the inverse of ...
WL
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Express 9^(3x + 1) in the form 3^y , giving y in the form ax + b, where a and b are constants.

9^ (3x + 1) We know that 3 to power of 2 equals 9. 3x3 = 3^2 = 9, = 3^ (2 * [3x + 1]) We simply the term because 2 * [3x + 1] = 6x + 2 = 3^ ( 6x + 2) This term is in the form of 3^ y, so we know that y = 6x ...
WL
Answered by William L. Maths tutor
5277 Views

Describe the Free fantasia style used by C.P.E Bach in the late 18th Century.

Free Fantasia as a style became highly popular in the late 18 th Century, with C. P. E. Bach being a prominent composer withint this style. However, he wrote very little upon this style and rarely discussed ...
TH
Answered by Thomas H. Music tutor
4401 Views

A tunnel has height, h, (in metres) given by h=14-x^2 where x is the horizontal distance from the centre of the tunnel. Find the cross sectional area of the tunnel. Also find the maximum height of a truck passing through the tunnel that is 4m wide.

Firstly, solve 0=14-x^2 to find the horisontal distance to the edges of the tunnel. x1=sqrt(14), x2= -sqrt(14). Integrate h=14-x^2 between x1 and x2 28*sqrt(14) -(2(sqrt(14)^3))/3. This is the required area ...
JG
Answered by James G. Maths tutor
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