Hey! Let's get this solved!
You start with 100 grams of sulfur-35, which has a half life of 87.51 days<span>.
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Of course, this is according to MY notes and calculations.
I hope this helps!
Answer:
<h2>(2,4)</h2>
Step-by-step explanation:
The given function is
![y=5x^{2} -20x+24](https://tex.z-dn.net/?f=y%3D5x%5E%7B2%7D%20-20x%2B24)
Where
,
and
.
The vertex is at
, which is defined as
and
. So, replacing values, we have
![h=-\frac{-20}{2(5)}=\frac{20}{10}=2](https://tex.z-dn.net/?f=h%3D-%5Cfrac%7B-20%7D%7B2%285%29%7D%3D%5Cfrac%7B20%7D%7B10%7D%3D2)
Then, ![k=f(2)=5(2)^{2} -20(2)+24=5(4)-40+24=20-40+24=4](https://tex.z-dn.net/?f=k%3Df%282%29%3D5%282%29%5E%7B2%7D%20-20%282%29%2B24%3D5%284%29-40%2B24%3D20-40%2B24%3D4)
So, the vertex is at
.
Remember that the minium or maximum value of a quadratic function is defined by its vertex. In this case, it represents a minimum at (2,4).
Answer:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
Step-by-step explanation:
![f(x) = -x^5 + 9x^4 - 18x^3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-x%5E5%20%2B%209x%5E4%20-%2018x%5E3)
F(x) is a fifth degree (odd function ) with negative leading coefficient
If exponent is odd and leading coefficient is negative then end behavior is
As x approaches ∞, y approaches -∞
As you go on the right , f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left , f(x) goes up
Answer:
slope = - ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, - 2)
m =
=
= - ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Answer:
the answer is #3
Step-by-step explanation: