What operations have inverse relationships? Select all that apply.

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Advocard [28]

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: During what interval(s) of the domain is the water balloon's height increasing?

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet

Part B: During what interval(s) of the domain is the water balloon's height staying the same?

Between 2 and 4 seconds, the height remains the same at 75 feet. Also from 10 seconds the height of the balloon is at 0 feet

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest?

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet (i.e. -17.5 ft/s)

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet (i.e. -10 ft/s)

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet (i.e. -10 ft/s)

Hence it decreases fastest from 4 to 6 seconds

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds

From 10 seconds, the balloon is at the ground, so it remains at the ground (0 feet) even at 16 seconds

6 0

1 year ago

Explain the error in the work shown. Find the

weeeeeb [17]

Answer:

$a = - \frac{3}{4}$

Step-by-step explanation:

The correct solution of the given equation is as follows :

We have,

$\frac{1}{64} = 16^{2a}$

⇒ $4^{- 3} = (2^{4} )^{2a}$

⇒ $2^{(2 \times (-3))} = 2^{8a}$

⇒ $2^{- 6} = 2^{8a}$

Comparing the power of equal base, we get

- 6 = 8a

⇒ $a = - \frac{6}{8}$

⇒ $a = - \frac{3}{4}$

Therefore, before equating the powers of two terms the base of the terms should be equal and here this is the error. (Answer)

3 0

1 year ago

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The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equatio

elena-s [515]

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

6 0

1 year ago

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Mariana receives a $20 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded s

cestrela7 [59]

Answer:

$1.29m\leq 20$ is the required inequality