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f(x)=3x+c g(x)=cx+8 fg(x)=6x+d Work out c and d.

fg(x) means f of g of x fg(x) = 3(cx+8) + c = 3cx + 24 + c = 6x + d 3cx = 6x 3c=6 c=2 24 + c = d 24+2=d=26
CF
Answered by Ceri F. • Maths tutor
3774 Views

Can you explain the quadratic formula?

The quadratic formula is used to solve the quadratic equation. Although methods like factorising or completing the square can easily be used, this offers another method which can be used for more difficult e...
SI
Answered by Shazeaa I. • Maths tutor
4556 Views

Show that y=3x-2 and 3y-9x+5=0 are parallel.

Parallel lines have the same gradient (same 'm' value in y=mx+c). Therefore m=3 for both equations; if they are parallel lines. The second equation needs to be rearranged for y to determine this. 3y-9x+5 = 0...
NG
Answered by Nicole G. • Maths tutor
15280 Views

Factorise 7x +14

7(x + 2)
AM
Answered by Ajay M. • Maths tutor
8644 Views

Solve these 2 equations simultaneously: 7x+y=1 and 2x squared - y=3

7x+y=1 (1) -> y= 2x 2 - 3 (3) 7x + 2x 2 -3-1=0 -> (2x-1)(x+4)=0 so 2x-1=0 so 2x=1 so x=0.5 and x+4=0 so x=-4 7(0.5)+y=1 so y=1-3.5 so y=-2.5 and 7(-4) +y=1 so -28+y=1 so y= 29 Full answer: x=0.5 y=-2.5...
HV
Answered by Hannah V. • Maths tutor
4075 Views