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3241004551 [841]
3 years ago
14

Help me out pleaseeee

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

The correct option is (b).

Step-by-step explanation:

The solution of the given polynomial is :

(-\dfrac{1}{3},4)

x = 1/3 and y = -4

i.e.

Sum of roots = (1/3-4) = -11/3

Product of roots = (1/3)(-4) = -4/3

The quadratic equation is as follows :

x^2+(\text{sum of roots})x+\text{Product of roots}=0

Put all the values,

x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0

So, the correct option is (b).

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Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?
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-----------

This means that:

n₁ = 12 - n₂

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12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

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n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

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Answer:

5 dimes and 7 quarters.
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