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2 years ago

Which two fractions have a sum of −7/30 ? Drag and drop the appropriate fraction into each box.

Mathematics

1 answer:

Brrunno [24]2 years ago

5 0

Well you will need two number that are divisible by 30 and add up to -7 so they will have to be a negative.

I would try -2 and -5 which are both divisible by 30 and ad up to -7 so...

-2/30 + -5/30 = -7/30

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<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given $\boxed{ \ a(x) = 3x + 1 \ }$ and $\boxed{ \ b(x) = \sqrt{x - 4} \ }$ .

We will form (b o a)(x) and then determine the domain.

$\boxed{ \ (b \circ a)(x) = b(a(x)) \ }$

Replace each appearance of x in b(x) with $\boxed{ \ a(x) = 3x + 1 \ }$ .

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Thus, $\boxed{ \ (b \circ a)(x) = \sqrt{3x - 3} \ }$

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$\boxed{ \ 3x - 3 \geq 0 \ }$

Both sides added by 3.

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Both sides divided by 3.

$\boxed{ \ x\geq 1 \ }$

Thus, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ is $\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

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