95141 1404 393
Answer:
3 liters
Step-by-step explanation:
There's a simple and effective "visual" way to solve mixture problems that makes short work of this.
In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.
The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.
In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:
- 3 L of 100% juice
- 1 L of 20% juice
Sorry I don’t know this one!
First of all, observe that the graphed function is
.
Now, if we want to shift the graph 4 units up, it means that we want each point on the graph enlarge its y coordinate by 4: we no longer want to associate
![x\mapsto y](https://tex.z-dn.net/?f=x%5Cmapsto%20y)
but
![x\mapsto y+4](https://tex.z-dn.net/?f=x%5Cmapsto%20y%2B4)
And since
, we want to map
![x\mapsto f(x)+4](https://tex.z-dn.net/?f=x%5Cmapsto%20f%28x%29%2B4)
And in our case,
, so the answer is
![\sin(x)+4](https://tex.z-dn.net/?f=%5Csin%28x%29%2B4)
<span>A line segment is described as a fixed distance along a line. This is because a line segment has a definitive start point and an end point, and it falls along one line.</span>