Whats the rule for this pattern, 3,1.5,0,-1.5,-3

1 answer:

5 0

The pattern subtracts 1.5 for each number in the pattern. 3-1.5 is 1.5. 1.5 minus 1.5 is zero. 0 minus 1.5 is -1.5. -1.5 minus 1.5 is negative 3. If we apply this rule to the next value, it would be -3 minus 1.5 which is equal to 4.5. The value after that would be 6, applying the same rule.

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kap26 [50]

1 is ur answer Step-by-step explanation:

4 0

2 years ago

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$