Answer:
x-intercept = 17/4 and y = -17/3
Step-by-step explanation:
To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.
To
4x - 3y = 17
4(0) - 3y = 17
0 - 3y = 17
y = 17 /-3
y = -17/3 = -5 2/3 y-intercept = -5 2/3.
The ordered pair on the graph is (0, -17/3)
4x - 3(0) = 17
4x - 0 = 17
4x = 17
x = 17/4 x-intercept = 17/4
The ordered pair on the graph is (17/4, 0)
<u>the correct question is</u>
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Let
x-------> the cost to support a legionary per day
y-------> the cost to support an archer per day
we know that
4x+4y=10 ---------> equation 1
2x+2y=5 ---------> equation 2
If you multiply equation 1 by 2
2*(2x+2y)=2*5-----------> 4x+4y=10
so
equation 1 and equation 2 are the same
The system has infinite solutions-------> Is a consistent dependent system
therefore
<u>the answer is</u>
We cannot solve for a unique cost for each soldier, because there are infinite solutions.
Answer:
A and C are proportional relationships.
Step-by-step explanation:
Recall that a "proportional relationship" has no constant term. Thus, we eliminate Answers B and D immediately.
Answer A represents a proportional relationship: y varies directly with the square of x.
Answer C also represents a proportional relationship: y varies directly with x.
Answer:
1 3/8 in one week
Step-by-step explanation:
Answer:
-2 (20x - 25)
Step-by-step explanation: