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snow_tiger [21]

3 years ago

9

Simplify each expression then factor the expression 14-28t-5(7+10t)

1 answer:

ludmilkaskok [199]3 years ago

5 0

Answer:

Simplified: -21-98t

Factored: -7(14t+3)

Step-by-step explanation:

The given expresion is:

14-28t-5(7+10t)

We expand the parenthesis to get:

$14 - 28t -35 - 70t$

We group like terms to get:

$14 -35 - 28t- 70t$

We combine similar terms to get:

$- 21- 98t$

We now factor to obtain:

$- 21- 98t = - 7(14t + 3)$

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Read 2 more answers

Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...

KiRa [710]

Answer:

<h2>Neither Gustavo nor Yuki</h2>

Step-by-step explanation:

It's an arithmetic sequence.

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The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=19,\ d=-19$

$a_n=19+(n-1)(-19)$ <em>use distributive property</em>

$a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n$

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