Answer: y = 4km + 2km*x
Step-by-step explanation:
We know that Madelyn already cycled 4km this year, so we start at that point.
Now, each time that she goes to work, she cycles 2 km in total.
Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x
if we also count the 4km she already has, we have the linear equation:
y = 4km + 2km*x
This is the equation we wanted to get.
Answer:
315
Step-by-step explanation:
If i understand this correctly, you just need to get the volume of the box and divide it by the volume of the 1/2 cube to see how many will fit.
# 1/2in cubes = (5.25 * 3 * 2.5)/(0.5 * 0.5 * 0.5)
# 1/2in cubes = (39.375)/(0.125) = 315
Answer:
=
or ![2(k - 3)](https://tex.z-dn.net/?f=2%28k%20-%203%29)
Step-by-step explanation:
<em>The question seem incomplete; however, the given parameter is assumed as</em>
![-3(2 + 4k) + 7(2k)](https://tex.z-dn.net/?f=-3%282%20%2B%204k%29%20%2B%207%282k%29)
Required
Simplify
![-3(2 + 4k) + 7(2k)](https://tex.z-dn.net/?f=-3%282%20%2B%204k%29%20%2B%207%282k%29)
Start by opening the brackets
![-3*2 -3* 4k + 7*2k](https://tex.z-dn.net/?f=-3%2A2%20-3%2A%204k%20%2B%207%2A2k)
![-6 -12k +14k](https://tex.z-dn.net/?f=-6%20-12k%20%2B14k)
Collect Like Terms
![-6 -12k +14k](https://tex.z-dn.net/?f=-6%20-12k%20%2B14k)
![-6 + 2k](https://tex.z-dn.net/?f=-6%20%2B%202k)
Reorder the above expression
![2k - 6](https://tex.z-dn.net/?f=2k%20-%206)
The answer can be further simplified as
![2(k - 3)](https://tex.z-dn.net/?f=2%28k%20-%203%29)
Hence;
=
or ![2(k - 3)](https://tex.z-dn.net/?f=2%28k%20-%203%29)
Answer:
- the lines are parallel
- the number of solutions is zero
Step-by-step explanation:
That says the system is "inconsistent", so the lines are parallel, and the number of solutions is zero.
_____
The attachment has an example of such a system.