Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)
1 answer:
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Answer:
Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
Step-by-step explanation:
we know that
Observing the table
The function f(x) is a increasing function
As the value of x increases, the value of f(x) increases
so
As x approaches positive infinity, f(x) approach positive infinity
<em>Find the slope of the linear equation g(x)</em>
The formula to calculate the slope between two points is equal to
we have the points (6, -2) and (3, 7)
substitute
The slope of the linear equation g(x) is negative
That means ----> Is a decreasing function
As the value of x increases, the value of g(x) decreases
so
As x approaches positive infinity, g(x) approach negative infinity
therefore
As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
Answer:
The Miami Dolphins had 3 touchdowns and 3 field goals.
Step-by-step explanation:
It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.
We need to write and solve the system of equations to find the total touchdowns and field goals scored.
Let x represents the number of touchdowns.
Let y be the number of field goals.
It is given that the Miami Dolphins scored 6 times
....(1)
They scored 7 points for each touchdown and 3 points for each field goal.
The total score is 30 points:
...(2)
Put the value of x from equation (1) into equation (2).
Put y = 3 in equation 1.
Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.