Answer:
9
Step-by-step explanation:
![4a+7\\\\a=\frac{1}{2}\\\\=4[\frac{1}{2}]+7\\\\=2+7\\\\=9](https://tex.z-dn.net/?f=4a%2B7%5C%5C%5C%5Ca%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%3D4%5B%5Cfrac%7B1%7D%7B2%7D%5D%2B7%5C%5C%5C%5C%3D2%2B7%5C%5C%5C%5C%3D9)
(0,0)(1,3) = (3 - 0) / (1 - 0) = 3
slope = 3
equation for this line is y = 3x...and since u have (0,0) as a point on this line, ur y int is (0,0)
g(x) = 7x + 2...slope here is 7 and y int is (0,2)
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The slope of f(x) = 3. I found this using the slope formula (y2 - y1) / (x2 - x1).
The slope of g(x) = 7. Because in y = mx + b form, the slope is in the m position.
g(x) has a steeper slope.
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f(x) has a y int of (0,0)...the line cuts thru the origin.
g(x) has a y int of (0,2)...because in y = mx + b form, the y int will be in the b position.
So, g(x) has a greater y int.
we have

The solution is the shaded area above the dotted line
we know that
If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality
We will verify all cases to determine the solution of the problem
<u>Case A)</u> Point 

Substitute the value of x and y in the inequality and verify

-------> is not true
therefore
the point
is not a solution of the inequality
<u>Case B)</u> Point 

Substitute the value of x and y in the inequality and verify

-------> is true
therefore
the point
is a solution of the inequality
<u>Case C)</u> Point 

Substitute the value of x and y in the inequality and verify

-------> is not true
therefore
the point
is not a solution of the inequality
<u>Case D)</u> Point 

Substitute the value of x and y in the inequality and verify

-------> is not true
therefore
the point
is not a solution of the inequality
therefore
<u>the answer is the Point B</u>

To better understand the problem see the attached figure
-------x-----------------------------20x---------------
some number line