we will proceed to resolve each case to determine the solution
we have
we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality
-------> is true
so
The ordered pair is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality
-------> is True
so
The ordered pair is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
Answer:
C. 33 square feet.
Step-by-step explanation:
to get the area of irregular polygon.
divide the area into two parts (see attached image)
total area = A1 + A2
where A = 1/2 base x height
total area = ( 1/2 * 6 * 8) + (1/2 * 6 * 3)
total area = 24 + 9
total area = 33 square feet.
therefore the answer is C. 33 square feet.
15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.
If we add <em>x</em> gal of water to the solution, we end up with (20 + <em>x</em>) gal of solution. We want the new mixture to have a concentration of 10%, or
10% of (20 + <em>x</em>) gal = 0.1 * (20 + <em>x</em>) gal = 2 + 0.1<em>x</em> gal
of salt.
The amount of salt in the tank hasn't changed. Solve for <em>x </em>:
2 + 0.1<em>x</em> = 3
0.1<em>x</em> = 1
<em>x</em> = 10 gal
Haha number one is 3 and two is 2
The answer is 1/2 the last one
