4
1/4 x 4/1 1 x 4= 4 4 X 1= 4 1/4 X 4/1= 4/4 = 1 The answer is 1.
Use the chain rule:d/dx √(4 - x) = d/dx (4 - x)1/2= 1/2 (4 - x)-1/2 x d/dx (4 - x)= 1/2 (4 - x)-1/2 x -1= -1/2 (4 - x)-1/2 or -1/2√(4 - x)
x - 4 = 1 4 + 1 = x Therefore, x = 5
y = x - 4/x so gradient = dy/dx = 1 + 4/x2 When y = 3, x - 4/x = 3 x2 - 3x - 4 = 0 so x = -1 or x = 4 When x = -1, gradient = 1 + 4/(-1)2 = 1 + 4/1 = 1+4 = 5 When x = 4, gradient = 1 + 4/(4)2 = 1 + 4/16 = 1+1/4 = 1.25
ten 24 x A = 6 4 x A = 1 4/4 x A = 1/4 = 1/1 x A = 1 x A = A 40 x A = 40 x 1/4 = 40/4 = 10
1/x = 4Take reciprocals of both sides: x = 1/4
x2 - 3x - 4 = 0 so (x+1)(x-4) = 0, so x+1 = 0 and x-4 = 0, so x = -1 or 4
x-1 = 4 Add 1 to both sides: x-1+1 = 4+1 x = 5
16(x+5)**2=1 (x+5)**2=1/16 (x+5)=2root(1/16) (x+5)=1/4 x=1/4-5 x= 1/4-20/4 x=-19/4 16(-19/4+5)**2=1 16(-19/4+20/4)**2=1 16(1/4)**2=1 16(1/16)=1 1=1
The inverse of x is written as 1/x. If we divide that by x, we get 1/x/x, which can also be written as 1/x * x/1 = x/x = 1. Then we add 4, 1 + 4 = 5.
5x2 - x - 4 = 0(5x + 4) (x - 1) = 05x + 4 = 05x = -4 ===> x = -(4/5)x - 1 = 0 ==> x = 1
4, 16, 32, 128, 5124 x 4(1-1) = 4 x 1 = 44 x 4(2-1) = 4 x 4 = 164 x 4(3-1) = 4 x 8 = 324 x 4(4-1) = 4 x 32 = 1284 x 4(5-1) = 4 x 128 = 512Nth term=a x r(n-1), where a is first term and r is common ratio between two terms.