sofia recycled 3 pounds less than the amount james recycled. hannah recycled 3 times the amount sofia recycled. if the three rec
2 answers:
Answer
Find out the how many pounds did sofia recycle .
To prove
Let us assume that the james recycled be = x
As given
sofia recycled 3 pounds less than the amount james recycled.
hannah recycled 3 times the amount sofia recycled.
Sofia recycled be = x - 3
hannah recycled be = 3 × (x - 3)
As given
the three recycled a total of 73 pounds .
Than the equation becomes
x + x - 3 + 3 × (x - 3) = 73
x + x - 3 + 3x - 9 = 73
5x - 12 = 73
5x = 73 + 12
5x = 85
x = 17
Sofia recycled be = x - 3
= 17 - 3
= 14 pounds
Therefore 14 pounds sofia recycled .
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Answer:
f(x) = + 2x³ - 4x² - 6x + 3
Step-by-step explanation:
Note that radical zeros occur in conjugate pairs, thus
- 1 + is a zero then - 1 -
is also a zero
is a zero then -
is also a zero
Thus the corresponding factors are
(x - (- 1 + ) ), (x - (- 1 -
) ), (x -
), (x - (-
)), that is
(x + 1 - ), (x + 1 +
), (x -
), (x +
)
The polynomial is then the product of the roots
f(x) = (x + 1 - )(x + 1 +
)(x -
)(x +
)
= ((x + 1)² - ()²)((x² - (
)²)
= (x² + 2x + 1 - 2)(x² - 3)
= (x² + 2x - 1)(x² - 3) ← distribute
= - 3x² + 2x³ - 6x - x² + 3
= + 2x³ - 4x² - 6x + 3