Answer:
3(x + 1)(x + 2)
Step-by-step explanation:
Given
3x² + 9x + 6 ← factor out 3 from each term
= 3(x² + 3x + 2) ← factor the quadratic
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are + 1 and + 2, since
2 × 1 = 2 and 2 + 1 = 3, thus
x² + 3x + 2 = (x + 1)(x + 2) and
3x² + 9x + 6 = 3(x + 1)(x + 2)
Answer:

Step-by-step explanation:
Let
represent the amount of money he initially started with.
After he spent 20% on books, he will have
of his initial money left. We can represent this as
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have
of the remainder of money he had left after he purchased the books. Therefore, he ends up with
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:

Divide both sides by 0.64 to isolate and solve for
:

Therefore, the boy had $3,125 to begin with.
1) and 4) are discrete as values can only realistically be whole numbers
<span>2), 3) and 5) are continuous as values are measurements that are rounded to a certain degree of accuracy. hope this helps
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Answer:
1.08 = m
Step-by-step explanation:
2= 2.27- m/4
Subtract 2.27 from each side
2-2.27= 2.27-2.27- m/4
-.27 = -m/4
Multiply each side by -4
-.27 * -4 = -m/4 *-4
1.08 = m