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3 years ago

Absolute value of 7 and one eigth

1 answer:

3 0

The absolute value of 7 and 1/8 is 7 and 1/8! If you have to add these two values then it would be 7 1/8. Absolute value just means both values will be positive. Hope this helps!

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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

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

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

7 0

3 years ago

Help! It is my Chinese school homework!

Tresset [83]

Answer:

Step-by-step explanation:

8 0

3 years ago

Hup meh please........

natulia [17]

Answer:

the answer is

<h2>HOPE IT HELPED </h2>

3 0

3 years ago

Read 2 more answers

Complete a b and c if you do one it would mean alot

victus00 [196]

Answer: I don't see what your talking about here, so I can't help you.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve and graph 7 > c + 18?

Kryger [21]

7 - (c + 18) > 0
-1 (c + [11])
~Now multiply each of the sides by -1~
c + 11 < 0
~Then , subtract 11 from each of the sides that you're working with~
c < -11
~Lastly, "c" becomes a negative~
-c - 11.0 > 0

Therefore your answer would have to be:
c < -11

8 0

3 years ago