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:
70 , 84 , 105
Step-by-step explanation:
sum their ages , 10 + 12 + 15 = 37
divide the amount by this sum to find the value of one part of the ratio.
259 ÷ 37 = 7 ← value of 1 part of the ratio , then
10 parts = 10 × 7 = 70 euros ← Tom's share
12 parts = 12 × 7 = 84 euros ← Mary's share
15 parts = 15 × 7 = 105 euros ← Bill's share
Answer:
I think the answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Joaquin's score is 
and Trisha's score is 
Arranging score in order of value we get
Joaquin's : 
Trisha's : 
as no of values is even therefore their median is
Joaquin's
Trisha's 
Therefore median of Joaquin's is lower
Thus Joaquin wins the game
