Step-by-step explanation:
first tiu need to find a common denominator. that's would 21. I hope you know what to do lol. then you make them improper fractions. SONT FORGET TO SIMPLIFY.
The square root of .25 is rational because it is a terminating decimal.
√(.25)=05
The average rate of change is -5 per month
<h3>How to determine the average rate of change?</h3>
The interval is given as:
July to December
From the graph, we have:
July = 110
December = 30
The average rate of a function over the interval (a, b) is calculated as:
Rate = [f(b) - f(a)]/[b - a]
So, we have:
Rate = (30 - 110)/(December- July)
This gives
Rate = (30 - 110)/(12 - 7)
Evaluate
Rate = -16
Hence, the average rate of change is -5 per month
Read more about average rate of change at:
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Answer: the y-coordinate that completes the point is 5.
Explanation:
An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.
The output value is y = f(x) and must be found applying the rule (function) to the given input value.
In this case the rulte is f(x) = - 3x + 2, and the input value, x, is - 1 (the first value of the ordered pair).
This is the mathematical procedure:
- x = - 1
- f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
Answer:
if we have the point (x, y), a reflection over the x-axis give us the point (x, -y)
if we have the point (x, y), a reflection over the y-axis give us the point (-x, y)
if we have the point (x, y), a reflection across both axes give us the point (-x, -y)
1. (2, -3) → (-2, -3) ------- reflection across the y-axis
2. (2, -3) → (-3, 2) -------- not a reflection
3. (2, -3) → (-2, 3) ------ reflection across both axes
4. (2, -3) → (2, 3) ----- reflection across the x-axis
