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3 years ago

How to determine open interval on which the function is increasing?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

7 0

Answer:

To find when a function is increasing, you must first take the derivative, then set it equal to 0, and then find between which zero values the function is positive. Now test values on all sides of these to find when the function is positive, and therefore increasing.

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What is the distance between the penguins and the fish tanks?

astraxan [27]

Answer:

the distance between the penguins and the fish tanks is 81 ft

Step-by-step explanation:

Let A is the point of whales

Let B is the point of Sharks

Let D is the point of Dophines

Let P is the point of penguins

Let F is the point of Fish tank

From a look at the photo, we can find some special properties that:

AB//PF

In triangle ABD and DPF we have

∠BAD=∠PFD(Alternate angles)
∠ADB=∠PDF(Vertically opposite angles)

By AA rule, ABD and DPF are similar to each other

Therefore, using the similarity property, we have:

$\frac{AD}{DF}$ = $\frac{AB}{PF}$

$\frac{30}{45}=\frac{54}{x}\\x=\frac{54{\times}45}{30}\\x=81feet$

So the distance between the penguins and the fish tanks is 81 ft

8 0

3 years ago

Read 2 more answers

261 is the quotient of r and 263

sertanlavr [38]

Answer:

68,643

Step-by-step explanation:

work backwards

261×263=68,643

68,643÷263=261

7 0

2 years ago

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

The inverse of f(x)=x^2 is also a function t/f

vodka [1.7K]

The Answer is false.

the function f (x) = x 2 is NOT one-to-one, and therefore cannot have an inverse.Therefore, the function f (x) = x 2 does NOT have an inverse.

3 0

3 years ago

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Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l

Gelneren [198K]

She would have to pay $30.53
24x.6=1.44
24+1.44=25.44
25.44/.2=5.088
25.44+5.09 (you had to round it up because it's money)
Which equals 30.53
I hoped this helped :)

6 0

2 years ago

Read 2 more answers