Answer:
23.4
Step-by-step explanation:
you use the equation for pythagorean theorem which is a^2+b^2=c^2 and plug in 12 and 18 into the a and b values to get 15^2+18^2=c^2 then you find the numbers squared so 225+324=c^2 add. 549=c^2 find square root. 23.4 rounded.
Answer:
42.64
Step-by-step explanation:
Answer:
(c) $3,93 more
(b) Mr. Sánchez's class earned more money.
(a) ![\displaystyle [42, 37] → [j, p]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B42%2C%2037%5D%20%E2%86%92%20%5Bj%2C%20p%5D)
Step-by-step explanation:
{79 = p + j
{118,17 = 1,65p + 1,36j
−25⁄34[118,17 = 1,65p + 1,36j]
{79 = p + j
{−86 121⁄136 = −1 29⁄136p - j >> New Equation
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[Plug this back into both equations above to get the j-value of 42]; 
The next step is to plug the solution into the BOTTOM EQUATION to calculate the total money earned for each class:
<u>Sánchez's class</u>
![\displaystyle 61,05 = [37][1,65]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2061%2C05%20%3D%20%5B37%5D%5B1%2C65%5D)
Altogether, <em>thirty-seven</em> fruit pies cost $61,05.
<u>Kelly's</u><u> </u><u>class</u>
![\displaystyle 57,12 = [42][1,36]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2057%2C12%20%3D%20%5B42%5D%5B1%2C36%5D)
Altogether, <em>forty-two</em> bottles of fruit juice cost $57,12.
* Based on the calculation, it is perfectly clear that Mr. Sánchez's class earned more money by $3,93:

I am delighted to assist you anytime my friend!
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.