PLEASE HELP!!!!!!!!!!There are 12 boys and 8 girls in a class.
1 answer:
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Answer:
See proof below
Step-by-step explanation:
Assume that V is a vector space over the field F (take F=R,C if you prefer).
Let . Then, we can write x as a linear combination of elements of s1, that is, there exist
and
such that
. Now,
then for all
we have that
. In particular, taking
with
we have that
. Then, x is a linear combination of vectors in S2, therefore
. We conclude that
.
If, additionally then reversing the roles of S1 and S2 in the previous proof,
. Then
, therefore
.
An equation is formed of two equal expressions. The correct options are C, D, and E.
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of x in the given equation is,
Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written as,
A.) 18x - 15 = 72
18(4.5) - 15 = 66
Thus, this will not return the same value.
B.) 50x - 25 = 72
50(4.5) - 25 = 200
Thus, this will not return the same value.
C.) 18x - 9 = 72
18(4.5) - 9 = 72
Thus, this will return the same value.
D.) 3(6x - 3) = 72
3[6(4.5) - 3] = 72
Thus, this will return the same value.
E.) x = 4.5
Thus, this will return the same value.
Hence, the correct options are C, D, and E.
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