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tangare [24]
3 years ago
10

Solve the proportion

Mathematics
1 answer:
motikmotik3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

2 +  1 = 3. 3/3 = 1

2/2 = 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
Part 5:
miss Akunina [59]

4

One in 1200 are not particularly good odds. On the other hand, winning the lotto is 1 chance in 13,000,000 which if you've ever played the lotto you know that those odds are good enough to insure that if you played for the rest of your life and you are 18 not expect to live to 80 and you have 104 [given 2 draw a week] chances of winning per year, it likely won't happen. One in 1200 is better but still not good, especially with only 1 draw.


3

As a fraction her probability of winning is 1/2000 which is 0.000833333 as a decimal. You can put that in as


1

÷

1200

=

if you are not sure how your calculator works.


2

Sample Space = {1,2,3,4 .... 1198,1199,1200}

The outcome depends on sophies number. Either 1 number can be chosen or all of them can.


1

The sample space is the integers from 1 to 1200 inclusive.

8 0
3 years ago
PLEEEEEAAASE HELP ME<br> IM GIVING 52 POINTS FOR THIS
-BARSIC- [3]

Answer:

dont scam people

Step-by-step explanation:

4 0
2 years ago
What is you’re typical approach to solving a math problem that looks too difficult or intimidating
kherson [118]

Answer:

People are more likely to avoid approaching difficult situations as they fear failure or looking bad to others if they get it wrong. They lack the point of view of being looked upon as brave for attempting something that others avoid.

4 0
2 years ago
Complete the sentences.
Contact [7]

Answer:

700,000

Step-by-step explanation:

To explain this, we need to know the basics.

If you look at the number 790,390, you should automatically know that you can also write the same number as:

700,000 + 90,000 + 300 + 90

How did we do this?

Because each number in 790,390 has a <u>value.</u>

In fact, we can do this for any number! Like this:

12,345

You can also write the same number like this:

10,000 + 2,000 + 300 + 40 + 5

Back to the original question. If there is a seven in the hundred thousands place, that means that the 9 is equal to 700,000

Examples:

12,345

The 3 in this number stands for 300, since it is in the hundreds place.

678,900

The 7 in this number stands for 70,000 because it is in the ten thousands place

Now you know!

6 0
2 years ago
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