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Determine (27/8)^3/2

Understanding we can split it into numerator and denominator and find individually.Understanding that ^1/3 is same as cube root and why, by considering that ^2 is squaring27^2/3 = 3^2 = 98^2/3 = 2^2 = 4 =9/4
JT
Answered by James T. • Maths tutor
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Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6

3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: x =...
MF
Answered by Megan F. • Maths tutor
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x - 2y = 1 , x^2 + y^2 = 13 find the solutions to this quadratic equation

equation 1) x - 2y = 1equation 2) x 2 + y 2 = 13 Rearrange equation 1 to: x = 1+2ysubstitute into equation 2: (1+2y) 2 + y 2 =13expand first bracket: (1+2y)(1+2y) +y 2 =13(1+4y+4y 2 ) +y 2 = 13Collect like t...
CS
Answered by Caitlin S. • Maths tutor
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solve y=3x+4, x=y+1

Equation 1) y=3x+4Equation 2) y=x+1 Rearrange equation 2 into terms of x as this is the simplest: x= y-1 (We do this by subtracting 1 off of each side to get X by itself)Substitute new equation 2 into 1: y=3...
CS
Answered by Caitlin S. • Maths tutor
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Explain through Darwin's Theory of evolution how species become better adapted to their environment.

Darwin's Theory suggests that all populations have variation between them, this variation is primarily caused by mutations in DNA. If an individual within a species gains a beneficial mutation it will be mor...
CS
Answered by Caitlin S. • Biology tutor
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