Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
I think y is 2 because x is -1 right?
75% is equal to 75/100, which can be reduced to 3/4. So it's 3/4 * 80 = 60
Answer: A. 9
Step-by-step explanation:
In the given tree diagram , there are 3 branches , to each branch there are 3 leaf nodes.
By using Fundamental counting principal ,
Number of possible outcomes for the tree diagram = (Number of branches) x (Number of leaf nodes)
Hence, the number of possible outcomes for the tree diagram = 9
So, the correct option is A. 9.
Answer:
Number of t-shirts Trevor have are 16
If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.
Step-by-step explanation:
Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.
Since, they both have total of 26 t-shirts. We get,
Moreover, Marissa has 6 t-shirts less than that of Trevor.
So, we have,
On solving the system of equations, we get,
implies implies i.e. 2x= 32 i.e. x= 16.
So, implies i.e y= 10.
Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.
That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.