How many numbers greater than zero and less than 50 equal the product of two consecutive positive integers?
1 answer:
Consecutive numbers would be like 2 and 3, or 7 and 8.
All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.
1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>
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Let the number be a
6a - 20 = 3a + 4
Group like terms
6a - 3a = 20 + 4
3a = 24
divide through by 3
a = 8
Therefore the number is 8
Graph it, that way you will know the right answer.
Answer:
9 a²+24a+16
Step-by-step explanation:
hope it's helpful to you ☺️
