On a piece of paper, graph y < 3/4 x+2 then determine which answer matches the graph drew.

Step-by-step explanation:

Given inequality is .

To graph that inequality, first we need to graph the line . Then shade it for the inequality symbol <.

Graphing line can be done using two points.

plug x=0 into , we get:

Hence first point is (0,2)

Similarly plug any random number for x say x=4, we get:

Hence first point is (4,5).

Now we just need to graph both points and join them by a dotted line. because we have < not <=.

Next part is to test for shading.

Which can be done using any test point which is not on the given line. Say (0,0)

plug x=0,y=0 into .

0<2

which is true, hence shading will be in direction of test point (0,0).

Hence final answer will be the choice which looks like the graph attached below;

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!