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.
![\begin{gathered} \Delta y_1=f(-2)-f(0)=4-1=3 \\ \Delta y_2=g(-2)-g(0)=4-0=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CDelta%20y_1%3Df%28-2%29-f%280%29%3D4-1%3D3%20%5C%5C%20%5CDelta%20y_2%3Dg%28-2%29-g%280%29%3D4-0%3D4%20%5Cend%7Bgathered%7D)
Now, we calculate their ratio to find how they compare:
![\frac{\Delta y_1}{\Delta y_2}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20y_1%7D%7B%5CDelta%20y_2%7D%3D%5Cfrac%7B3%7D%7B4%7D)
This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Answer:
2×2×5×5
Step-by-step explanation:
1st of all they are prime factors
if multiplied give us 100
Answer:
he has 472 points now.
Step-by-step explanation:
Answer:
C. In the given expression -9 + p < 15 , the value of p < 24.
Step-by-step explanation:
Here, the given expression is :
-9 + p < 15
Now, solving for the value of p.
If equals are added to both sides of inequality, the inequality remains unchanged.
Now, -9 + p < 15
⇒ -9 + p + 9 < 15 + 9 (adding +9 on both sides)
or, p < 24
Hence, in the given expression -9 + p < 15 the value of p < 24.
700x + 375(27 - x) = 15000
Solve for x
X=15 business class
Economy class 27-15=12