What is the value of lim 2x+3/4x-5 a. 3/5 b. 1 c. 1/2 d. 0

First of all, thank you for sharing the illustration of this problem. Without the illustration it would be hard to come up with an answer, since there are various kinds of limit and your own, typewritten instructions did not specify which.

Here you're finding the limit as x approaches infinity. Both 2x and 4x (as shown in the illustration grow larger continually and without bound, as x increases. As this happens, the other terms (+3 and -5) are simply overpowered by the x terms. If you choose to ignore these other terms for this reason, then your expression will be

2x

and this approaches the value 1/2 as x grows increasingly large in the

4x original expression.

So the limit of that expression, as x grows large without bound, is 1/2.

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:

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^