Answer:
-77
Step-by-step explanation:
-77 + -23 = -100
9514 1404 393
Answer:
17 square units
Step-by-step explanation:
There are several ways you can divide this figure into areas that are easily computed.
One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...
A = (1/2)bh
A = (1/2)(6)(8) = 24 . . . . square units
The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.
Then the area of the shaded part is ...
A = 24 - 7 = 17 . . . . square units
You take the amount of miles julie did and subtract the amount that greg did in may to get the total distance he ran in june which is 2.8
Manufacturing Cost = M(s) + L(s)
<span>Manufacturing Cost = 225 + 0.65s + 54 + 1.15s </span>
<span>Manufacturing Cost = 1.8s + 279</span>
Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3