Two identical jars are filled with mixtures of water and vinegar in the ratio of 2 to 1 and 3 to 1 respectively. If both jars are emptied into another container then the ration of water to vinegar in the mixture is A)5 to 1 B) 12 to 5 c) 17 to 7. d) 6 to 5 e) 5 to 2

17:7

Step-by-step explanation:

The first jar is 2/3 water, and the second jar is 3/4 water.  Since the jars are equal volume, the resulting mixture will be the average.

(2/3 + 3/4) / 2

(8/12 + 9/12) / 2

(17/12) / 2

17/24

If the jar is divided into 24 parts, 17 parts are water, and the remaining 7 parts are vinegar.  So the ratio is 17:7.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.