When asked to factor the trinomial 6x^2-18x+12, a student gives the answer (x-2)(x-1). What is one thing wrong with this answer?
2 answers:
Answer:
B. 6 is also a factor of this trinomial.
Step-by-step explanation:
We have been given a trinomial . A student gives the answer (x-2)(x-1).
To figure out student's mistake, let us factor our given trinomial by splitting the middle term.
Therefore, 6 is also a factor of our given trinomial and option B is the correct choice.
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Answer:
The equation to find the profit made by business combined is .
Business A made $2 million profit and Business B made $8 million profit.
Step-by-step explanation:
Given:
Profit made in previous financial year = $10 million
We need to write an equation to find the profit made by the business.
Solution:
Let the profit (in millions) made by business A be 'x'.
Let the profit (in millions) made by business B be 'y'.
Now given:
business B making 4 times as much profit as business A.
so we can say that;
Now we know that;
Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.
framing in equation form we get;
Substituting the value of y in above equation we get;
Hence The equation to find the profit made by business combined is .
On Solving above equation we get;
profit (in millions) made by business A =
profit (in millions) made by business B =
Hence Business A made $2 million profit and Business B made $8 million profit.