The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
Answer:
4
Step-by-step explanation:
The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.
What's a cube root?
- The cube root of a number is the number you multiply by itself 3 times to get another number.
- One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.
Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.
- 1: 1 x 1 x 1 = 1.
- 2: 2 x 2 x 2 = 8.
- 3: 3 x 3 x 3 = 27.
- 4: 4 x 4 x 4 = 64. (This is the cube root!)
We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
0.9 = -4.7 - 0.6z
0.9 + 4.7 = -0.6z
5.6 = -0.6z
z = 5.6 ÷ -0.6
z = -9.33
Answer:
r=-3
Step-by-step explanation:
Answer:
1 month of game play will cost $12
Step-by-step explanation:
Here in this question, we are interested in calculating the cost of one month of game play.
From the question, we know the following;
Angie bought 1 software package and 4 months of game play
while
Kenny bought 1 software package and 1 month of game play.
The total packages and months bought will be;
2 packages and 5 months of game play
From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70
So the amount remaining for the 5 months will be; $130 - $70 = $60
So if 5 months cost $60, it means one month will be $60/5 = $12
