Answer:
When 2x^2 - 10x - 3 is plugged into the quadratic equation, the resulting zeroes are x = (5 + sqrt(31))/2 and (5 - sqrt(31))/2. Hope this helps!
Step-by-step explanation:
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Answer:
a. Blue
Step-by-step explanation:
The answer is blue because there are still more blue than green and the ratio is 7:6. So the probability is the second ball removed is a blue ball. Hope this helps :)
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
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Answer:

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Step-by-step explanation:
Look at the photo below for the details.
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Answer: n = 3; n represents a remainder in a division problem.
Explanation:
1) Finding n:
i) Given: 643 = 4 × 160 + n
ii) Do the operations: 643 = 640 + n
iii) Subraction property of the equality: 643 - 640 = n
iv) Do the operations: 3 = n
Answer: n 3
2) Meaning of n
When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.
This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).