For homework plss help

B, C, D and E are correct options

Step-by-step explanation:

Here, we want to get the correct options;

a. We simply divide the next term by the previous term so that we get the common ratio

That would be 16/-8 = -32/16 = -2

As we can see, the common ratio is -2 which means that the option cannot be correct

b. The 5th term is mathematically;

ar^4 = -8 * (-2)^4 = -8 * 16 = -128

This is correct

c. The 7th term is

ar^6 = -8 * (-2)^6 = -512

5th term is ar^4 = -8 * (-2)^4 = -128

So -512/-128 = 4

As we can see, this option is correct

d. 8th term is 1024

8th term is ar^7

= -8 * (-2)^7 = 1024 which is correct

e. 10th term is ar^9 = -8 * (-2)^9 = 4096

9th term is ar^8 = -8 * (-2)^8 = -2048

This is correct

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: