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Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?

The graph represents the system of inequalities A. 3x+2y is less than or equal to 3 and 3x+4y is greater than or equal to 2. B. 3x+2y is less than 3 and 3x+4y is greater than 2. C. 3x+2y is greater than 3 and 3x+4y is less than 2. D. 3x2y is greater than or equal to 3 and 3x+4y is less than or equal to 2. .

The test point satisfies both of the inequalities in the system represented by the graph.

  A. 3x+2y is less than or equal to 3 and 3x+4y is greater than or equal to 2.

Step-by-step explanation:

Both lines on the graph are solid, so both inequalities must include the "or equal to" case. (This eliminates choices B and C.)

The graph is shaded below the line 3x+2y=3, so the corresponding inequality is 3x +2y ≤ 3. (This eliminates choice D.)

The correct system of inequalities is choice A:

The point (-2, 3) is in the solution set for both inequalities.

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!