Answer:
The answer is below
Step-by-step explanation:
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.
Answer:
Part A:
Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet at a rate of 7.5 ft/s
Part B:
Between 2 and 4 seconds, the height stays constant at 75 feet.
Part C:
Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s
Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s
Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s
Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.
Part D:
From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.
The expression has 2 factors, and the second factor has 2 terms.
<h3 /><h3>How many factors has the expression?</h3>
We can write an expression of N factors as:
Here, the expression is:
4*(8x + 5)
This expression has 2 factors, which are:
4 and (8x + 5)
Now, if we look at the only factor 8x + 5, we have two terms (the terms are the parts that are added), the terms are:
8x and 5.
If you want to learn more about factors and terms:
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Answer:
4x^2+15
Step-by-step explanation:
1. multiply whole parenthesis by power of 2
2. gets you 4(x^2+4)-1
3.Multply and it gets you 4x^2+16-1 so it would be 4x^2+15 for your answer
4. throw that into your calculator and make sure its not on radian mode and then press graph
Answer:
the unit rate is 30 miles 1 gallon
