SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the num
1 answer:
Given :
Miki possesses 104 nickels and 88 dimes. She intends to sort her coins into sets where each set has an equal count of both nickels and dimes.
Last year, 216,000 cars were sold.
To Find :
An equation that can identify the number of trucks, t, sold the previous year.
Solution :
Let t represent the quantity of trucks sold and c represent the cars sold.
The statement indicates that the quantity of cars sold exceeded three times the trucks sold by 39,000.
Thus,
Plugging the value of c = 216000 into the equation above yields :
This gives us the solution we seek.
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Response:
the solution can be found in the image
Answer:
Error made by Andrew: He identified incorrect factors based on the roots.
Step-by-step explanation:
The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:
(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.
<pBy simplification, we obtain:(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.
This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.
Thus, the polynomial can be expressed as: