Kenny had 5/7 more trading cards than Lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than Lee.
1 answer:
Answer:
140 cards
Step-by-step explanation:
-Let x be the total number of trading cards Lee has.
-Therefore, each person has:
#Kenny collects 50% more. We multiply his current amount by 1.5times:
#We are given that Kenny's new number is 220 more than Lee's x. We therefore equate and solve as below:
Hence, Lee had 140 cards
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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