Athena was completing a puzzle picture by connecting ordered pairs of points. Her next point is described below:
2 answers:
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Answer:
The set of coefficients asociated with the given polynomial in ascending order is .
Step-by-step explanation:
Let , which is a polynomic function, defined as:
(1)
Where:
- i-th Coefficient.
- i-th Power.
- Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:
Then, the set of coefficients asociated with the given polynomial in ascending order is:
We need 500 ml of alcohol mixture and 50 ml of water.
<u>Step-by-step explanation:</u>
The 50% concentration of the final solution is a result of mixing the 55% concentration with water, which is 0% concentration. Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%
x = the number of ml of the 55% alcohol mixture
y = the number of ml of water
x + y = 550
Again, the 0 above represents the water which is 0% concentration
= 0.50
0.55 x = 275
x = = 500
plug 500 into the equation x + y = 550
500 + y = 550
y = 50
Use 500 ml of the 55% solution and 50 ml of water.