Well I'm doing it an easy way but 50% or half of 698 is about 350.
475 is slightly above 350 so the answer would be 68%
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.
To prove two equations have infinite solutions, you have to prove that those two equations are the same equations, but in a different form.
For example: Prove the equations are infinite
5y=2x+7
10y=4x+14
If you multiply the first equation by 2, and substitiute any of the numbers, you will get 0=0
Answer:
The graph of the function gets vertically shifted upwards by 12 units.
Step-by-step explanation:
Answer:
Step-by-step explanation:
y - 3 = (-1/2)(x - 2)
Solve 8x-4y+9=0 for y so as to find the slope of this given line:
8x + 9 = 4y, or y = 2x + 9/4. The slope of the given line is 2. The slope of any line perpendicular to this one is the negative reciprocal of 2, which is -1/2.
Use the point-slope formula: y - k = m(x - h ). (h, k) is (2, 3) and m is -1/2.
Then we have: y - 3 = (-1/2)(x - 2)
