Yes, because if you divide 4 and 3 by 2, you get 2 and 1.5
Answer:
g = 23/16
Step-by-step explanation:
3/16 = (-5/4) + g
g = 5/4 + 3/16
g = 23/16
Answer:
24 apples
Step-by-step explanation:
set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.
Answer:
D
Step-by-step explanation:
4/4 = 1
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>