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The probability a student in a school wears glasses is 3/7. There are 164 students who DON'T wear glasses. Find the number that wear glasses.

The probability they wear glasses is 3/7, which means the probability they don't is 1-3/7=4/7. This means 164 students make up 4/7 of the school. To find the number that wear glasses we need to find how m...

AR
Answered by Alice R. Maths tutor
6689 Views

The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]

Differentiate equation

dy/dx=0.5*x-0.5

Gradient is the same as the second equation

2/3=0..5*x-0.5 

Solving this ...

AM
Answered by Arnold M. Maths tutor
6615 Views

Find the points that the graph "y = x^2 -4x -14" touches the x-axis

(2+3√2, 0)  and (2-3√2, 0)

TC
Answered by Thomas C. Maths tutor
3591 Views

Differentiate (4x+9)^3

(3*4)(4x+9)^(3-1)

Where 4 is the derivative of inside the brackets and 3 is the power of the brackets.

Therefore the answer is 12(4x+9)^2

AT
Answered by Alexander T. Maths tutor
5229 Views

If z1 = 3+2i, z2= 4-i, z3=1+i, find and simplify the following: a) z1 + z2, b) z2 x z3, c)z2* (complex conugate of z2), d) z2/z3.

(a) For part a, simply add the real terms together and the imaginary terms together. z1+z= (3+2i)+(4-i) = 7+i b).     

(b) For part b, multiply the brackets out, remembering...

JS
Answered by Jaspa S. Maths tutor
14181 Views

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