Answer:
NO
Step-by-step explanation:
To find if they are equivalent, we need to simplify them first.
Using the distributive property we get:
6(4x-5) = 24x - 30
In this case we need to combine like terms.
3 + 22x - 33 - 2x = 20x - 30
So now we can compare.
24x - 30 ≠ 20x - 30
So we can conclude that the two expressions are not equal because 24x - 30 and 20x - 30 are obviously not equal.
Answer:
can u zoom in ?????????????
Step-by-step explanation:
Answer:
-i
Step-by-step explanation:
i^0=1
i^1=i
i^2=-1
i^3=-i
i^4=1
This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.
So i^(23)=i^3=-i.
i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.
Answer:
a and c
Step-by-step explanation:
because i know
The given set of functions are not linearly independent.
Given,
![f_{1} (x) = x\\f_{2} (x) = x^{2} \\f_{3} (x) = 6x-2x^{2}](https://tex.z-dn.net/?f=f_%7B1%7D%20%28x%29%20%3D%20x%5C%5Cf_%7B2%7D%20%28x%29%20%3D%20x%5E%7B2%7D%20%5C%5Cf_%7B3%7D%20%28x%29%20%3D%206x-2x%5E%7B2%7D)
We need,
![c_{1} f_{1} (x)+c_{2} f_{2} (x)+c_{3} f_{3}(x)=0](https://tex.z-dn.net/?f=c_%7B1%7D%20f_%7B1%7D%20%28x%29%2Bc_%7B2%7D%20f_%7B2%7D%20%28x%29%2Bc_%7B3%7D%20f_%7B3%7D%28x%29%3D0)
Substituting the values in equation we get,
![c_{1} x+c_{2} x^{2} +c_{3} (6x-2x^{2} )=0\\](https://tex.z-dn.net/?f=c_%7B1%7D%20x%2Bc_%7B2%7D%20x%5E%7B2%7D%20%2Bc_%7B3%7D%20%286x-2x%5E%7B2%7D%20%29%3D0%5C%5C)
Computing the equation we get,
![c_{1} x+c_{2} x^{2} +c_{3} 6x-c_{3} 2x^{2}=0](https://tex.z-dn.net/?f=c_%7B1%7D%20x%2Bc_%7B2%7D%20x%5E%7B2%7D%20%2Bc_%7B3%7D%206x-c_%7B3%7D%202x%5E%7B2%7D%3D0)
![(c_{1} +6c_{3} )x+(c_{2} -2c_{3} x^{2} =0](https://tex.z-dn.net/?f=%28c_%7B1%7D%20%2B6c_%7B3%7D%20%29x%2B%28c_%7B2%7D%20-2c_%7B3%7D%20x%5E%7B2%7D%20%3D0)
This resolves to two equations
![(c_{1} +6c_{3})x =0\\(c_{2} -2c_{3} )x^{2} =0](https://tex.z-dn.net/?f=%28c_%7B1%7D%20%2B6c_%7B3%7D%29x%20%3D0%5C%5C%28c_%7B2%7D%20-2c_%7B3%7D%20%29x%5E%7B2%7D%20%3D0)
These will have an infinite set of solutions:
![c_{1} =-6c_{3} \\c_{2} =2c_{3}](https://tex.z-dn.net/?f=c_%7B1%7D%20%3D-6c_%7B3%7D%20%5C%5Cc_%7B2%7D%20%3D2c_%7B3%7D)
Two functions are said to be linearly independent if neither function is a constant multiple of the other.
Here, it is clear that the given functions are not linearly independent.
Learn more about linearly dependent or independent functions here:brainly.com/question/18331568
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