Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope 
and it's y-intercept 
and then write it in the following form:
The slope of the line we get from first two points:
thus we have
we find by putting the point 
into the function:
Thus we have
Now we have to find where this line intersects with 
; to do this we just substitute 
with :
<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting 
into :
Thus the solution to the system is
which is option 4.
Answer:
its 460centimeters hope i helped
Answer:
580m^2
Step-by-step explanation:
600m^2 -20m=580m^2
<span>x − y ≥ 3 ... > stands for above on a graph, and the line under it _ stands for shaded.</span>
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
