To check the decay rate, we need to check the variation in y-axis.
Since our interval is
![-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}](https://tex.z-dn.net/?f=-2We%20need%20to%20evaluate%20both%20function%20at%20those%20limits.%3Cp%3E%3C%2Fp%3E%3Cp%3EAt%20x%20%3D%20-2%2C%20we%20have%20a%20value%20of%204%20for%20both%20of%20them%2C%20at%20x%20%3D%200%20we%20have%201%20for%20the%20exponential%20function%20and%200%20to%20the%20quadratic%20function.%20Let%27s%20call%20the%20exponential%20f%28x%29%2C%20and%20the%20quadratic%20g%28x%29.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%5Btex%5D%5Cbegin%7Bgathered%7D%20f%28-2%29%3Dg%28-2%29%3D4%20%5C%5C%20f%280%29%3D1%20%5C%5C%20g%280%29%3D0%20%5Cend%7Bgathered%7D)
To compare the decay rates we need to check the variation on the y-axis of both functions.

Now, we calculate their ratio to find how they compare:

This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Answer:
230
Step-by-step explanation:
Answer:
D. The demand curve shifts to the right.
Step-by-step explanation:
Movie tickets and film streaming services are substitutes, so an increase in the price of film streaming will cause an increase in the demand for movie tickets. Thus, at any given price, the demand curve of movie tickets shifts to the right, for example from demand A to demand B or demand C. as in the attached figure.
Answer:
A = 120 cm^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is:
A = 2(area of the top) + 2(area of the front) + 2(area of one side)
Substituting the values:
A = 2(20) + 2(16) + 2(24)
First, distributing:
A = 40 + 32 + 48
Then adding, giving your final answer
A = 120 cm^2
Hope this helps you :)