Answer:
(3, 1)
Step-by-step explanation:
Given the following constraints:
2x + 4y ≤ 10
x + 9y ≤ 12
x ≥ 0
y ≥ 0
We have to first graph the above constraints and secondly, we find the boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10 and x + 9y ≤ 12.
From the graph, the following points satisfy the constraints:
(0,0)
, (3,1)
, (0,4/3)
, (5,0)
Given that:
P = x + 6y
For (0, 0): P = x + 6y = 0 + 6(0) = 0
For (3, 1): P = x + 6y = 3 + 6(1) = 9
For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8
For (5, 0) P = x + 6y = 5 + 6(0) = 5
Answer:
yes
Step-by-step explanation:
yes
Answer:
A. 1.5a - 5, where 'a' is the number of apples used by Martin
B. Martin could not have used 10 apples, because that would mean Omar used none.
Step-by-step explanation:
Let 'a' represent the number of apples that Martin used. Since Omar used '5 fewer than half as many as Martin':
0.5a - 5 = the number of apples used by Omar
A. The total of all the apples:
a + 0.5a - 5 = 1.5a - 5
B. If Martin used 10 apples:
a = 10
0.5(10) - 5 = 0, which means Omar would have used no apples to make applesauce
Answer:
An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
Step-by-step explanation:
