Express the distance 4,300,000 meters using scientific notation in meters, and then in millimeters.

4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.

Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.

Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:

4,300,000 turns into 4.300000

Step 2) Count the number of digits you've moved.

Above, we moved 6 spaces to the left.

Step 3) Add the decimal to the front, and then 10^the number of spaces you moved

4.3 (from step one) × 10^6 (from step two)

= 4.3 × 10^6

It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

hope this , good luck!