All categories

2 years ago

Determine the domain on which the following function is decreasing.

Mathematics

1 answer:

kow [346]2 years ago

7 0

Step-by-step explanation:

The correct domain is [3,8].

You might be interested in

The same number of people live on the islands Beautiful Sunrise and Gorgeous

aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem, we have that:

We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.

There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

$P = \frac{a}{x} \times 100\%$

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

$\frac{x + a}{x - a} = 7$

We can find a <u>as a function of x</u> to find the percentage:

$\frac{x + a}{x - a} = 7$

$7(x - a) = x + a$

$7x - 7a = x + a$

$8a = 6x$

$a = \frac{3x}{4}$

Then, the percentage is:

$P = \frac{a}{x} \times 100\%$

$P = \frac{\frac{3x}{4}}{x} \times 100\%$

$P = \frac{3}{4} \times 100\%$

$P = 75\%$

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0

2 years ago

What is the gcf of 3xy and 42xy

nignag [31]

Since 3 divides 42, 3xy itself is the greatest common factor of 3xy and 42xy.

Answer: 3xy

7 0

2 years ago

Evaluate the expression when m=-6.<br> 2<br> m + 5m - 4

Brums [2.3K]

Answer:

Step-by-step explanation:

m^2 + 5m - 4

Let m = -6

( -6) ^2 + 5(-6) -4

Exponents first

36 + 5(-6) -4

Then multiply

36 -30 -4

Then subtract

6 -4

5 0

3 years ago

‼️‼️‼️‼️‼️

kykrilka [37]

Answer: 13 dimes and 7 quarters I think

Step-by-step explanation:

6 0

2 years ago

Help pls it’s easy I’m just slow lol

IgorLugansk [536]

Answer:

12.65

Step-by-step explanation:

4 0

2 years ago