What is the best approximation of the solution to the system to the nearest integer values
1 answer:
Answer:
A.(2,3)
Step-by-step explanation:
The solution to the system of two equations and
is the ordered pair
which coordinates satisfy both equations.
Graphically, the solution to the system of two equations is the point of intersection of two lines which represent given equations.
The point of intersection of these graphed lines is closest to (2,3) (from the diagram), so correct option is A
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Answer:
3:
4:
Step-by-step explanation:
Question 3 can be re-written as:
which equals:
Question 4 can be re-written as:
Doing the first 2 brackets gives us:
Expanding these two:
Simplifying it:
Answer:
A. 605 mL of the 35% solution
B. 55 mL of the 95% solution
Step-by-step explanation:
It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.
Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.
So,
Amount equation: ...(1)
Alcohol equation : ...(2)
On solving (1) and (2), we get
Now, substitute y=55 in (1).
Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.