Ask question

Ask question

All categories

3 years ago

13

Simplify 4 + 3/7x -2 - 2/7x

1 answer:

Roman55 [17]3 years ago

6 0

Answer:

It's X/7+2

Step-by-step explanation:

First. group the like terms:

3/7x-2/7x+4-2

Then, add the similar elements:

3/7x-2/7x=1/7x+4-2

1/7x=x/7

=x/7+4-2

=x/7+2

You might be interested in

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

3 years ago

Find the answer to each of the fot

stich3 [128]

Answers:
1 is -8
2 is 29
3 is -15
4 is -1

Hope this answer helps and have a nice day

3 0

3 years ago

Concert each mixed number to a fraction greater than 1, or each fraction greater than 1 to a mixed number.

melisa1 [442]

1. Would be 58/11
Because we convert the mixed number to an improper fraction, 5x11+3/11. We then would multiple the numbers with gives us 55+3/11. We add that giving us 58/11

7 0

3 years ago

What is the corresponding growth decay factor of the given annual rate of +200%

Alina [70]

2000 should be it I'm pretty sure

4 0

3 years ago

Show your solution follow the steps<br>need an answer, please need an answer, please.

Alex777 [14]

Answer:

after calculating I got this answer.

hope this answer helps you dear...take care

8 0

3 years ago