Which property is not used to simplify the following expression?

Thanks for the help!

NikAS [45]

Answer:

A

Step-by-step explanation:

So we have the piecewise function:

$f(x)= \begin{cases}\sqrt{2x} & \text{if }x$

And we want to find f(8).

Since our input value is 8, choose the equation that fits our input.

The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.

The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.

The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.

So:

$f(x)=42\text{ if }x\geq 8$

$f(8)=42$

There're nothing more to do, we're done :)

The answer is A.

Edit: Improved Format

3 0

3 years ago

1.Assume that 20 squirrels are put in an enclosed wildlife ranch and the squirrel population grows for the next 5 years, as show

stiv31 [10]

Answer:

For the first group we have the pairs:

year population

0 20

1 80

2 320

3 1,280

4 5,120

5 20,480

Here we can see that the population quadruples each year

(4*20 = 80, 80*4 = 320, 320*4 = 1,280, etc...)

then the population equation is:

P(0) = 20

P(1) = 20*4

P(2) = (20*4)*4 = 20*4^2

We already can see the pattern, then we can write this relationship as:

P(t) = A*(4)^(t)

Where:

t represents time in years, and A is the initial population, that we know it is 20, then:

P(t) = 20*(4)^t

This is the function that represents the table.

B) Now we have a group of 20 squirrels and the population triples each year, with the same reasoning than before we can write the equation that models this situation as:

Q(t) = 20*(3)^t

C) Now, if the initial population of the second group is 40, the equation becomes:

Q(t) = 40*(3)^t

The population by year 3 is given by replacing t by 3, then:

Q(3) = 40*(3)^3 = 1080

And the population of the other group in year 3 is seen in the table, it is 1,280, then the population of the first group is bigger by year 3, and it is greater by:

1,280 - 1,080 = 200

So the first group is larger by 200 squirrels.

3 0

3 years ago

HELP HELP PLEASE IMPORTANT

Yuliya22 [10]

Answer:

2010

Step-by-step explanation:

1/2(24)(20)=240

50*45=2250

2250-240=2010

6 0

3 years ago

I need help answering this question as soon as possible. i don’t understand it

earnstyle [38]

Answer:

B)

Step-by-step explanation:

Given f(x) = ( 7 - 8x )²

let f(x) be y,

y = ( 7 - 8x )² .............to find inverse we have to make x the subject.

±√y = 7 - 8x

-8x = √y - 7

x = (±√y - 7 ) / -8

Then,

Inverse of ( 7 - 8x )² is $-\frac{\sqrt{x}-7}{8},\:-\frac{-\sqrt{x}-7}{8}$ and is a function.

3 0

2 years ago

Hans made $323 for 17 hours of work. at the same rate, how much would he make for 8 hours of work?

Contact [7]

$152. Hope this helps!

6 0

3 years ago