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Solve 13-x > 3+4x

13-x-3>4x
10>4x+x
10>5x
2>x
x<2

NE
Answered by Nathan E. Maths tutor
5330 Views

Solve the following set of simultaneous equations: 3x + 2y = 15 & 9x + 4y = 1

  1. Label your equations 1 and 2.
  2. Look to eliminate one of your variables to create a third equation with only one variable.
  3. To do this multiply the first equation by 2 to obtain: 6x +...
CA
Answered by Chris A. Maths tutor
6528 Views

Find the equation of the tangent at x=1 for the curve y=(4x^2+1)^3

The tangent is the straight line passing through x=1, touching the curve only at that point. For x=1, y=(4+1)^3=125 Using the chain rule we obtain dy/dx = 38x(4x^2+1)^2. To then get the gradient ...

JH
Answered by Jacob H. Maths tutor
3674 Views

If the fourth term in an arithmetic sequence is, u4 = 12.5, the tenth is u10 = 27.5. Find the common difference and the 20th term.

The equations for an arithmetic sequences are 1) Un = u1 + (n - 1)d 2) Sn = n/2(2*u1 + (n-1)d) 3) Sn = n/2(u1 + un)

The first step is to calculate the common difference, d. This is done using the f...

NK
Answered by Ndalukile K. Maths tutor
2780 Views

Solve these simultaneous equations: 3y + x = 18 and x - 4y = -10.

Write x in terms of y using one of the equations. Then substitute it in the second equation, which is then only in terms of y. Find y. Then you can easily find x.

Answer: x = 6 and y = 4.

TE
Answered by Tess E. Maths tutor
3448 Views

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