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3 years ago

PLS HELP!!!!! OR I FAIL!!!

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

Step-by-step explanation:

+1 shifts the function up 1

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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

How do I solve 5 1/2 divided by -2 3/4

rusak2 [61]

$5\frac{1}{2}:(-2\frac{3}{4 })= \frac{11}{2}:(-\frac{11}{4})= \frac{\not11^1}{\not2^1}*(-\frac{\not4^2}{\not11^1})=-2$

7 0

3 years ago

Read 2 more answers

The sum of the squares of 2 consecutive negative integers is 41. What are the numbers? Which of the following equations is the r

VARVARA [1.3K]

Answer:
The two numbers are -5 and -4

Explanation:
Assume that the first number is x and that the second number is x+1.
We know that the sum of their squares is 41. This means that:
x² + (x+1)² = 41

We will expand the brackets and factorize to get the value of x as follows:
x² + (x+1)² = 41
x² + x² + 2x + 1 = 41
2x² + 2x + 1 - 41 = 0
2x² + 2x - 40 = 0
We can divide all terms by 2 to simplify the equation:
x² + x - 20 = 0 ..........> equation required in part II

Now, we can factorize this equation to get the values of x:
x² + x - 20 = 0
(x-4)(x+5) = 0
either x = 4 .........> rejected because we know that x should be negative
or x = -5 ...........> accepted

Based on the above calculations, the two numbers are -5 and -4

Hope this helps :)

8 0

4 years ago

Read 2 more answers

Need help with these!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Gelneren [198K]

Answer:

Step-by-step explanation:

8 0

3 years ago

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? NOTE: 1 yard

Sever21 [200]

432 characters can be expected to fit per yard of text. The following solution can be used:
Let x be the number of characters to be used in a yard
12 characters / in = x/ 36 in
(12 characters * 36 in) / in = x
x = 432 characters

Thank you for posting your question. Please feel free to ask me more.

4 0

3 years ago