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3 years ago

6

What is the average miles per gallon for all new cars? Using Consumer Reports, a random sample of 35 new cars gave an average of

21.1 mpg.
What is the variable?

1 answer:

sweet [91]3 years ago

8 0

The variable is the average miles per gallon.

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(3squared)squared x(10cubed)squared

kiruha [24]

Hii :))

$\tt {(3 ^{2} )}^{2} \times {(10^{3}) }^{2} \\ \tt = (3 \times 3) ^{2} \times {(10 \times 10 \times 10)}^{2} \\ \tt \: = {9}^{2} \times 1000 ^{2} \\ \tt = (9 \times 9) \times (1000 \times 1000) \\ = \tt \: 81 \times 1000000 \\ = \boxed{\tt \: 81000000}$

__________________

$\overbrace{ \underbrace{ \mathfrak{ \: \infty \: Carry \: on \: Learning \: \infty }}}$

ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ

3 0

2 years ago

Read 2 more answers

Given y = log3(x + 4), what is the range?

lora16 [44]

Answer:

The range is all real numbers.

The domain is all reals numbers that are greater than -4.

Step-by-step explanation:

$y=\log_3(x+4)$ only exists when $x+4$ is positive.

You can take the log of a negative or 0 number.

So $x+4>0$ implies $x>-4$ . (I just subtract 4 on both sides.)

So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.

Now the range. The range is where the curve exist for the y-values.

The equivalent exponent form of $y=\log_3(x+4)$ is $3^{y}=x+4$

We can solve this for x be subtract 4 on both sides:

$x=3^y-4$

Now here y can be anything; there are no restrictions on the exponent.

Also if you look at the graph of $y=\log_3(x+4)$ you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).

Let's think about the inverse I found above a little more (I'm going to swap x and y).

$y=3^x-4$ .

If we look at the domain and range of this we can just swap it to get the domain and range of $y=\log_3(x+4)$ .

$y=3^x-4$ is an exponential function of 3^x that has been moved down 4 units.

The range since it has been moved down 4 units is $(-4,\infty)$ .

The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.

So swapping these to find the domain and range of $y=\log_3(x+4)$ :

Domain: $(-4,\infty)$

Range : $(-\infty,\infty)$

4 0

2 years ago

Gardeners planted bushes in the city park. They wanted 1/3 of the bushes to be rose bushes and 1/4 of the rose bushes to be pink

den301095 [7]

3/4

your answer is D hope i helped

4 0

3 years ago

Read 2 more answers

Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Supp

Alina [70]

What is the change in the total cost for each book printed?
$25
What is the cost to get started (before any books are printed)?
$1250

4 0

2 years ago

PLS HELP ME! Write a rule (function) for the data in this table.

yKpoI14uk [10]

Answer:

y = x - 3

<h3>How I know I'm correct:</h3>

if you plug in the numbers from the table, it checks out.

y = x - 3

0 = 3 - 3

0 = 0

y = x - 3

1 = 4 - 3

1 = 1

y = x - 3

2 = 5 - 3

2 = 2

and so on

5 0

3 years ago