One solution!
Step-by-step explanation:
If we make a graph of the given equations, the lines will intersect at a point. We know that whenever lines intersect, it means the equations have one solution or a unique solution.
Answer:
39.837168574084177751131265854635
Step-by-step explanation:
If you plug it into a calculator, you get that.
Next time, please pay attention in class and save us all a little trouble.
Answer:
2.8
Step-by-step explanation:
The different possible mixtures can you make is 1716
.
<u>Step-by-step explanation:</u>
Given that,
- The total number of flavors available in the shop = 13 flavors
- The number of flavors you need to choose = 6 flavors
Here, we have to use the formula for combination,
nCr = n! / r! × (n-r) !
where,
- n is the total number of flavors
- r is the number of flavors you need to choose
⇒ 13C6 = 13 ! / 6! × (13-6)!
⇒ 13! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
⇒ 1716
Therefore, you can 1716 different possible mixtures.
Answer:
3(x-2)+x=4x+6
Step-by-step explanation:
case 1) we have
3(x-2)+x=4x-6
Solve for x
3x-6+x=4x-6
4x-6=4x-6
0=0 ----> is true for any value of x
therefore
The equation has infinite solutions
case 2) we have
3(x-2)+x=2x-6
3x-6+x=2x-6
4x-2x=-6+6
2x=0
x=0
case 3) we have
3(x-2)+x=3x-3
3x-6+x=3x-3
4x-3x=-3+6
x=3
case 4) we have
3(x-2)+x=4x+6
3x-6+x=4x+6
4x-4x=6+6
0=12 ------> is not true
therefore
The equation has no solution
