018-2019) Q4
1 answer:
Answer:
Step-by-step explanation:
(x² + x + 2)(x² – 2x + 3)
1. Degree of product
The degree of the product of two polynomials is the sum of their degrees.
Each polynomial is of degree 2, so the degree of the product is 4.
That is, the term of highest degree must come from x² × x² = x⁴.
2. Maximum number of terms
The maximum number of terms is one more than the degree of the product.
Thus, there is a maximum of five terms in the product: one for each power of x plus a constant term.
P = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅
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Answer:
The money left after gasoline expenses was <u>$622.50</u>.
Step-by-step explanation:
Given:
Last month, family had used 40% of the monthly income for gasoline, and 63% of that gasoline was consumed by the family's SUV.
The family's SUV used $261.45 worth of gasoline previous month.
Now, to find the money left of the family monthly income after gasoline expenses.
Let the total money spend on gasoline be
As, given:
The family's SUV used $261.45 worth of gasoline, which was 63% of the gasoline that was consumed.
According to question:
<em>Dividing both sides 0.63 we get:</em>
<u><em>The total money spend on gasoline = $415.</em></u>
Now, 40% of the monthly income is used for gasoline.
Let the total monthly income be
So, to get the monthly income we put an equation:
<em>Dividing both sides by 0.40 we get:</em>
<u><em>The total monthly income = $1037.50.</em></u>
Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:
Therefore, the money left after gasoline expenses was $622.50.