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goldenfox [79]
3 years ago
6

Juanita plans to purchase a 50 fl. oz. shampoo at $15.10. She has a $2.15 coupon off from the store. What is the final price for

the shampoo?
Mathematics
1 answer:
Dominik [7]3 years ago
7 0

The final answer is $12.95 I think not sure

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Mark the statement either true (in all cases) or false (for at least one example). If false, construct a specific example to sho
LUCKY_DIMON [66]

Answer with Step-by-step explanation:

We are given that v_1,v_2,..,v_4 are in R^4 and v_1,v_2,v_3 is linearly dependent then {v_1,v_2,v_3,v_4}[/tex] is also linearly dependent.

We have to find that given statement is true or false.

Dependent vectors:Dependent vectors are those vectors in which atleast one vector is  a linear combination of other given vectors.

Or If we have vectors x_1,x_2,....x_n

Then their linear combination

a_1x_1+a_2x_2+.....+a_nx_n=0

There exist at least one scalar which is not zero.

If v_1,v_2,v_3 are dependent vectors then

a_1v_1+a_2v_2+a_3v_3=0 for scalars a_1,a_2,a_3

Then , by definition of dependent  vectors

There exist a vector which is not equal to zero

If vector v_3 is a linear combination of v_1\;and \;v_2, So at least one of vectors in the set is a linear combination of others and the set is linearly dependent.

Hence, by definition of dependent vectors

{v_1,v_2,v_3,v_4} is linearly dependent.

Option B is true.

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3 years ago
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