<span>The answers for the given inequalities shown in the figures above are the following:
1. x+2y is bigger than or equal to 6 corresponds to the first graph.
2. x-2y>4 corresponds to the third graph.
3. y>3+(1/2)x corresponds to the second graph
4. 4y+2x is smaller than or equal to 16 corresponds to the fourth graph</span>
Answer:
a = - 2 , b = 8
Step-by-step explanation:
Since the points p and q lie on the graph then they satisfy the equation
(6, 4 ) , substitute x = 6 , y = 4 into the equation
6a + 4b = 20 → (1)
(2, 3 ) , substitute x = 2, y = 3 into the equation
2a + 3b = 20 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate a
- 6a - 9b = - 60 → (3)
add (1) and (3) term by term to eliminate a
0 - 5b = - 40
- 5b = - 40 ( divide both sides by - 5 )
b = 8
Substitute b = 8 into either of the 2 equations and solve for a
Substituting into (1)
6a + 4(8) = 20
6a + 32 = 20 ( subtract 32 from both sides )
6a = - 12 ( divide both sides by 6 )
a = - 2
The answer is 10/1
There are 10 boys and 1 of them is a sophomore
