1. Dalia makes a cranberry apple punch that contains 20%, percent real juice by mixing x gallons of a cranberry drink with y gal
1 answer:
Answer:
The required equations which represents the relationship between x and y is .
Step-by-step explanation:
Consider the provided information.
Dalia makes a cranberry apple punch that contains 20%, percent real juice by mixing x gallons of a cranberry drink with y gallons of an apple drink.
This can be written as:
The cranberry drink contains 40 percent real juice and the apple drink contains 10 percent real juice.
This can be written as:
Now both the equation are equal.
Hence, the required equations which represents the relationship between x and y is .
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f(x)=x²-1
g(x)=2x-3
f(x)*g(x)=(x²-1)*(2x-3)-----------> <span>this function exists for all real numbers</span>
the answer is the interval (-∞,∞)
using a graph tool see the attached figure
For this case we must find the solution of the following inequalities:
From the first inequality we have:
Subtracting 2 from both sides of the inequality:
Equal signs are added and the same sign is placed.
Dividing between 4 on both sides of the inequality:
Thus, the solution is given by all values of "v" greater than -1.
From the second inequality we have:
Adding 5 to both sides of the inequality we have:
Dividing by 3 to both sides of the inequality we have:
Thus, the solution is given by all values of "v" less than 4.
Then, the solution set is given by the union of both intervals.
The union consists of all the elements that are contained in each interval.
(-∞,∞)
Answer:
The solution set is: (-∞,∞)