Answer:
Step 1: Find f(5/2)
f(5/2) = -23(5/2) + 5
f(5/2) = -115/2 + 5
<em><u>f(5/2) = -105/2</u></em>
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Step 2: Find f(52)
f(52) = -23(52) + 5
f(52) = -1196 + 5
<em><u>f(52) = -1,191</u></em>
Answer:
Independent Events
Step-by-step explanation:
Given
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
<u>Before selecting the orange jelly:</u>
![P(Green) = \frac{Green}{Total}](https://tex.z-dn.net/?f=P%28Green%29%20%3D%20%5Cfrac%7BGreen%7D%7BTotal%7D)
![P(Green) = \frac{3}{10}](https://tex.z-dn.net/?f=P%28Green%29%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
<u>After selecting the orange jelly:</u>
![P(Green) = \frac{Green}{Total}](https://tex.z-dn.net/?f=P%28Green%29%20%3D%20%5Cfrac%7BGreen%7D%7BTotal%7D)
![P(Green) = \frac{3}{10}](https://tex.z-dn.net/?f=P%28Green%29%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.
Answer:
1. Warm front.
2. I don’t know, I apologize.
Step-by-step explanation:
That is what a warm front is? I don’t know what else to say lol.
Answer:
(-1, -4)
Step-by-step explanation:
The critical point is the point where the slope is 0 or undefined.
This is a parabola (quadratic), so there wont be any undefined points, only a critical point where slope is 0.
We need to take the derivative of the function and set it equal to 0 to find the x coordinate of the critical point. Then we plug in that x point into original equation to find the y coordinate.
Lets see the power rule of differentiation before we differentiate this function.
Power Rule: ![\frac{d}{dx}(x^n)=nx^{n-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28x%5En%29%3Dnx%5E%7Bn-1%7D)
Also, differentiation a constant is always 0!!
Now, differentiating:
![f(x)=x^2+2x-3\\\frac{d}{dx}(f(x))=2x+2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B2x-3%5C%5C%5Cfrac%7Bd%7D%7Bdx%7D%28f%28x%29%29%3D2x%2B2)
Now, we set equal to 0 and find x:
![2x+2=0\\2x=-2\\x=\frac{-2}{2}\\x=-1](https://tex.z-dn.net/?f=2x%2B2%3D0%5C%5C2x%3D-2%5C%5Cx%3D%5Cfrac%7B-2%7D%7B2%7D%5C%5Cx%3D-1)
Now, we find y:
![f(x=-1)=(-1)^2+2(-1)-3=-4](https://tex.z-dn.net/?f=f%28x%3D-1%29%3D%28-1%29%5E2%2B2%28-1%29-3%3D-4)
So,
x = -1
y = -4
<u>The critical point is (-1, -4)</u>
Answer:
B. -17 I believe is right. Hope it helps!