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2 years ago

Which expression gives the same value as 3 + 5(x + 2) − 4 when you substitute x = 3 and x = 4?

Mathematics

2 answers:

slamgirl [31]2 years ago

8 0

Your answer is C.
Hope this helps.

STALIN [3.7K]2 years ago

6 0

3 + 5(x + 2) - 4

3 + 5x + 10 - 4

3 + 5x + 6

5x + 9

In short, Your Answer would be: Option D

Hope this helps!

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anygoal [31]

I gather that the given functions satisfy the following definite integral relations:

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b) The integral over an interval is equal to the sum of integrals over a partition of that interval. In this case, the interval [-1, 5] can be written as the interval union [-1, 4] U [4, 5], so that

$\displaystyle \int_{-1}^5 f(x) \, dx = \int_{-1}^4 f(x) \, dx + \int_4^5 f(x) \, dx = -6 + 10 = \boxed{4}$

c) By linearity,

$\displaystyle \int_4^5 (f(x) - g(x)) \, dx = \int_4^5 f(x) \, dx - \int_4^5 g(x) \, dx = 10 - 5 = \boxed{5}$

d) By linearity,

$\displaystyle \int_4^5 (4f(x) + 5g(x)) \, dx = 4 \int_4^5 f(x) \, dx + 5 \int_4^5 g(x) \, dx = 4\times10 + 5\times5 = \boxed{65}$

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1 year ago