You want the minimum of the solutions to
x + y = 24
7x - y = 16
There are many ways to solve these equations. Adding them together, you get
8x = 40
x = 5
Since this value is less than 12, it is the smaller number. The smaller number is 5.
Answer: First option.
Step-by-step explanation:
It is important to remember the definition of "Translation".
A Translation is defined as a transformation that moves every point of an object a determine distance in a given direction. In Translation, the shape and the size of the object do not change.
Then, given a point:

Where "x" is the x-coordinate and "y" is the y-coordinate.
And given the following translation:

We can notice that:
- 2 units are added to the original x-coordinate. This indicates that the object must be moved 2 units to the right.
- 4 units are subtract from the original y-coordinate. This indicates that object must be moved 4 units down.
The answer is 2(5x - 4)(x + 1)
10x² + 2x - 8 = 2*5x² + 2*x - 2*4 =
= 2(5x² + x - 4) =
= 2(5x² + 5x - 4x - 4) =
= 2(5x *x + 5x*1) - (4*x + 4*1) =
= 2(5x(x + 1) - 4(x + 1)) =
= 2(5x - 4)(x + 1)
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
Multiply all and get 560
so v= 560