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Bob has £500 and gives 70% to Edmund and 40% of what is left to George. Work out how much money each person has.

Bob - £90, Edmund - £350, George - £60.

MD
Answered by Martina D. Maths tutor
1755 Views

Solve the inequality 5x + 3 ≤ 3x − 6.

x ≤ -4.5

MD
Answered by Martina D. Maths tutor
4290 Views

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 ...

WL
Answered by William L. Maths tutor
4199 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 requ...

JG
Answered by James G. Maths tutor
7370 Views

Express 3(x^2) - 12x + 5 in the form a(x - b)^2 - c.

Starting with a(x - b)^2 - c, if we expand the bracket we get:

a(x^2 - 2xb + b^2) -c

Since we need to end up with the coefficient on x^2 being 3 and in the expression above x^2 is only multi...

LH
Answered by Lucy H. Maths tutor
9564 Views

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