Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). write your answer in scientific notation.

Step-by-step explanation:

To multiply it , first we multiply the numbers.

46.2  times 5.7 is 263.34

Now we multiply the exponents. To multiply exponents we apply exponential property.

When the exponents with same base are in multiplication then we add the exponents

Now we write it in scientific notation. Move the decimal point after the first number. So we move decimal point 2 places to the left

find out the value of b

step-by-step explanation:

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: