This is just a mathematics question but factoring is use a lot of times to make numbers smaller and easier to work with that is in the case of GCF 14(x^2 + y^3) you would multiply it out but it is easier to work with
Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer:
Force
Explanation:
A description and measurement of the interaction between the two objects.A push or a pull.Forces always exist in pairs.
First solve the cost of running the non- energy star model
C = ( $ 0.15 / kWh) ( 0.5 kW) ( 4 hrs /day) 365 day
C = $ 109.5 in a year
Solving the cost of the energy star model
C = ( $ 0.15 / kWh) ( 0.5 kW) ( 4 hrs /day) (0.4) 365 day
C = $ 43.8
Saving in 5 years
S = ( $ 109.5 - $ 43.8) 5
S = $ 328.50
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Answer: Human Services, an associate's degree
Explanation: Taking care of people is human services and a preschool teacher takes care of little people. I googled what you need to become a preschool teacher and an associate's degree is what I saw.
