The next three terms of the sequence 20, 40, 80, 160,… are 320, 640, and 1280.

What are the domain and range of this function?

Stells [14]

Answer:

Domain: $-5\leq x$

Range: $-4\leq y$

Step-by-step explanation:

<u>Domain</u>

The graph shows the points in which the domain is located. To find the Domain, go to the point in the x-axis (the horizontal line) and note the number where the point lies. For this question, the Domain lies in -5 and 1. Once you've found that, it's time to write it down. To do that you'll need to write the number at the most left before the one at the right. So it should be -5 less than/equal to X. Now since the point at the right is an "open-circle", x is less than the number at the most right. Not the same as a <u>closed circle.</u> So at the end of the process, you should have gotten -5 less than/equal to X less than 1 = $-5\leq x$ .

<u>Range</u>

The graph shows the points in which the range is located. To find the Range, go to the point in the y-axis (the vertical line) and note the number where the point lies. For this question, the Range lies in -4 and 7. Once you've found that, it's time to write it down. To do that you'll need to write the number at the most left before the one at the right. So it should be -4 less than/equal to X. Now since the point at the right is an "open-circle", x is less than the number at the most right. Not the same as a <u>closed circle.</u> So at the end of the process, you should have gotten -4 less than/equal to X less than 7 = $-4\leq y$ .

7 0

3 years ago

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

2 years ago

What is negative three fifths subtract three tenths?

mixas84 [53]

-3/5 turns into -6/10
-6/10 - 3/10 = -9/10
-9/10

6 0

3 years ago

Which table do not represent y as a function of x

Bezzdna [24]

Answer:

Which tables are you talking about?

(✿◠‿◠)

7 0

3 years ago

At a conference the organizer determined at 32% of the attendees were between the ages of 18 and 29 there were 216 attendees in

miss Akunina [59]

Answer:

675 total attendees at the conference.

Step-by-step explanation:

Let x represent total attendees at the conference.

We have been given that at a conference the organizer determined at 32% of the attendees were between the ages of 18 and 29. There were 216 attendees in this age range. We are supposed to find the total attendees at the conference.

To find the number of total attendees at the conference, we will set as equation where 32% of x is equal to 216.

$\frac{32}{100}x=216$

$0.32x=216$

$\frac{0.32x}{0.32}=\frac{216}{0.32}$

$x=675$

Therefore, there were 675 total attendees at the conference.

8 0

3 years ago