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:
1.691
Step-by-step explanation:
.971 + .72
'dz' because d and z are different values.
Answer:
x=5
Step-by-step explanation:
We need to find the value of x the given equation: 3x-2=x+8
the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side
here's the equation:
3x-2=x+8
first, add 2 to both sides
3x-2=x+8
+2 +2
___________
3x=x+10 (2 goes away on the left side, as -2+2=0)
now, subtract x from both sides
3x=x+10
-x -x
______
2x=10 (x goes away on the right side, as x-x=0)
we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)
divide both sides by 2
x=5 (because 2x/2=1x, or x. 10/2=5).
therefore, the value of x is 5
Hope this helps!
Answer:
Jisjsjjsjejeneneinnjojoejejjekekkejeejjejejenjejekkjjrjejejebebhehejehhghxhxhjsjsbhdiejehbe
Hirap math nanaman
