The last one y=2x-5 if you plug the points into the x and y values you can see this equation works for both points.
This shape is a parallelogram and the opposite sides of a parallelogram
are of equal length.
10 + 8x = 16 + 2x ⇔ 8x - 2x = 16 - 10 ⇔ 6x = 6 ⇔ x = 6:6 ⇔ x = 1
Answer:
12 liters of pure acid with 24 liters of 10% acid solution
Step-by-step explanation:
Let us assume that x liters of pure acid is mixed with y liters of 10% acis solution.
Therefore, x+y =36 liters ....... (1)
Again the resulting acis solution is of 40% concentration.
Hence, ![\frac{x+0.1 y}{x+y}=\frac{40}{100}=0.4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B0.1%20y%7D%7Bx%2By%7D%3D%5Cfrac%7B40%7D%7B100%7D%3D0.4)
⇒ x+0.1y =0.4x +0.4y
⇒ 0.6x =0.3y
⇒ 2x =y .....(2)
Now, solving equations (1) and (2) we get,
3x =36, ⇒ x= 12 liters
And, from equation (2), we get y=2×12 =24 liters.
Therefore, the technician has to mix 12 liters of pure acid with 24 liters of 10% acid solution to get the requires solution. (Answer)
Answer:
b. is the only set of points that is a function.
Step-by-step explanation:
A relation is a function is there is not more than one y assigned to a x.
A relation relates a variable to another variable. Option a does not not this.
A set of points is a relation. A trick to figuring out if is a function is to see if all x's are different.
Let's look at b. All the x's are different there so it is a function.
Now c, we see that there are two different points with the same x so this is not a function.
Now d, we see that there are two different points with the same x so this is not a function.