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(GIVING BRAINLESIT) If 3x2 + 2x = 40, then 15x2 + 10x =

User Sumintra
by
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2 Answers

3 votes

Final answer:

The expression 15
x^2 + 10x equals 200 based on the initial equation 3
x^2 + 2x = 40, by applying the mathematical property of equivalent multiplication.

Step-by-step explanation:

The student asked about the equation 3
x^2+ 2x = 40 and wanted to know the result of a similar expression 15
x^2 + 10x. To solve this question, we look for a pattern or rule that can be applied. It's clear that the second expression is a multiple of the first. Specifically, it is 5 times larger. According to the properties of equations, if we multiply every term on the left side of the first equation by 5, we should do the same to the right side to keep the equation balanced. Therefore, multiplying 40 by 5 gives us 200. Thus, the result of 15
x^2 + 10x is 200 based on the initial equation given.

User Martin Suchanek
by
4.9k points
6 votes

Answer:

200

Step-by-step explanation:

3*2+2x=40

15*2+10x=5(3*2+2x)

15*2+10x=5(40)

15*2+10x=200

hope it helps

User Bertram Gilfoyle
by
4.4k points