Answer:
the system of equation has infinite solution
Step-by-step explanation:
,
Solve the first equation for x_2
Subtract 5x1 on both sides
Now substitute -5x1 on second equation
0=0
So the system of equation has infinite solution
Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes
?
2 answers:
Answer:
In the picture attached, the graph is shown.
Step-by-step explanation:
No options are provided, so I made the graph.
The equation V = 4 + 2t, is the equation of a line with slope = 2 and y-intercept = 4.
To make a graph, mark some points is helpful. The next points are included in the graph:
t V
0 4 + 2(0) = 4
1 4 + 2(1) = 6
2 4 + 2(2) = 8
3 4 + 2(3) = 10
4 4 + 2(4) = 12
5 4 + 2(5) = 14
6 4 + 2(6) = 16
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Answer:
The required system of equations is,
.
Step-by-step explanation:
Let the number of hours spent by Lucy = x
It is given that,
Local zoo charges initial fee $25 and per hour fee $1.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Also, Local citcus charges initial fee $20 and per hour fee $2.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Since, the objective function for the situation is to 'minimize the cost'.
So, upon solving the equations, we will get the minimum value as,
25+x = 20+2x
i.e. x= 5
Thus,
implies
i.e. y= $30
implies
i.e.
i.e. y= $30
Thus, the minimum value is $30.
The required system of equations is,
.
Answer:
A. 180
Step-by-step explanation: