What is the value of 4530 divided by 10³  a. 0.453 b. 4.530 c. 45.30 d. 453.0 

We first would have to figure out what would 10 to the power of 3 is.

10 x 10 x 10 = 1,000

Then, we do what the problem is really asking.

4,530 ÷ 1,000 = 4.53

Your B. 4.530

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:

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d