Answer:
Linearly independent, x = 0
Step-by-step explanation:
- We are given three functions as follows:

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

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

- Next choose x = 1:

- Next choose x = 2:

- Solve the last two equations simultaneously we have:
.... ( Only trivial solution exist )
Answer: The functions are linearly independent
- The only zero exist is x = 0.
Answer:
13meters
Step-by-step explanation:
c^2=a^2+b^2
12^2+5^2=169
find squareroot of 169 which is 13meters
(6b + 42)(b - 3)
To check the answer, use the method FOIL.
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Slope :
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y = -5x + 2
Slope = -5
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y - intercept :
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At (0. 3), y-intercept = 3
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Equation :
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y = mx + b
y = -5x + 3
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Answer : y = -5 + 3
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Answer:
He can buy 5 pounds of peaches.
Step-by-step explanation:
2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.