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Umnica [9.8K]
3 years ago
8

If a // b and e // f, what is the value of y?

Mathematics
1 answer:
Alika [10]3 years ago
3 0

Answer: it would be z

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Are the functions f,g, and h given below linearly independent?
CaHeK987 [17]

Answer:

Linearly independent, x = 0

Step-by-step explanation:

- We are given three functions as follows:

                           f ( x ) = e^4^x\\\\g ( x ) = xe^4^x\\\\h( x ) = x^2e^4^x

- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

                           c_1*f(x) + c_2*g(x) + c_3*h(x) = 0

Where,

                       c1 , c2 , c3 are all zeroes then for all values of (x),

- The system of function is said to be linearly independent

- We will express are system of equations as such:

                           c_1*e^4^x + c_2*xe^4^x + c_3*x^2e^4^x = 0\\\\

- To express our system of linear equations we will choose three arbitrary  values of ( x ). We will choose, x = 0. then we have:

                          c_1*( 1 ) + c_2*(0) + c_3*(0 ) = 0\\\\c_1 = 0

- Next choose x = 1:

                          c_2*e^4 + c_3*e^4 = 0\\\\c_2 + c_3 = 0

- Next choose x = 2:

                          2*c_2*e^8 + 4*c_3*e^8 = 0\\\\c_2 + 2c_3 = 0

- Solve the last two equations simultaneously we have:

                          c_1 = c_2 = c_3 = 0     .... ( Only trivial solution exist )

Answer: The functions are linearly independent

- The only zero exist is x = 0.

5 0
3 years ago
Write the fraction as a decimal 64 100 ​
erastovalidia [21]

Answer:

0.64 is a decimal and 64/100 or 64% is the percentage for 64/100.

Step-by-step explanation:

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2 years ago
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How many groups of 3/4 are in 11/4
andrey2020 [161]

Answer:

3, with 2/4 left over

Step-by-step explanation:

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Need help ASAP please
KiRa [710]

Answer:

6 minutes

Step-by-step explanation:

6.77-1.25=5.52

5.52/.92= 6

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