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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 many...
AR
Answered by Alice R. • Maths tutor
6750 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 will give the x coordinate x = 9/16 Sub into equation for y coordinate y = (9/16) 0.5 Solve fo...
AM
Answered by Arnold M. • Maths tutor
6687 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
3661 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
5295 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. z 1 +z 2 = (3+2i)+(4-i) = 7+i b). (b) For part b, multiply the brackets out, remembering that i 2 =-1. z 2 x z 3 = (4-i)(1...
JS
Answered by Jaspa S. • Maths tutor
14279 Views