Kevin has these four number cards: 3 5 7 and 9. the mean is 6 he takes another card. 3 5 7 9 ‘?’. the mean of the 5 cards is still six. what number is on the new card?

The new number would have to be 6.

Step-by-step explanation:

In order to find the mean you add all numbers and divide by how many numbers you added together. In this case you would add 3, 5, 7, and 9 and divide by 4 to get 6. If the median of the cards is still six you could multiply 6 and 5 because you have 5 numbers. Then subtract 9, 7, 5, and 3 which will give you six.

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:

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation: