The answer will be 40 feet because w = 10 feet’s so it will decrease into 100
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.
Answer:
m∠1 = 100°
Step-by-step explanation:
Answer:
None of the answer choices.
Step-by-step explanation:
The pattern to this problem is multiply by 4, and subtract 3. However when doing 17 * 4, you get 68. Look how both of the answer chouces start with 68, and we haven't even subtracted 3 yet. This shows that the answer choices are wrong.
<u>Correct Answer: 65, 257</u>
Answer:
The range is the output value or the y value.
You would work backwards to find the domain.
f(x) = 4x - 1 f(x) = 4x - 1
3 = 4x - 1 7 = 4x - 1
add 1 to both sides add 1 to both sides
4 = 4x 8 = 4x
divide both sides by 4 divide both sides by 4
x = 1 x = 2
f(x) = 4x - 1 f(x) = 4x - 1
11 = 4x - 1 15 = 4x - 1
add 1 to both sides add 1 to both sides
12 = 4x 16 = 4x
divide both sides by 4 divide both sides by 4
x = 3 x = 4
Domain { 1, 2, 3, 4}
Step-by-step explanation:
