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2 years ago

G(x) = x^2– 5x f(x) = 2x +1 Find (g - f)(x)

Mathematics

1 answer:

Brrunno [24]2 years ago

3 0

Answer:

x^2 - 7x - 1

Step-by-step explanation:

g(x) = x^2– 5x

f(x) = 2x +1

(g - f)(x)

expand to get

gx - fx

Slot in the values

(x^2– 5x) - (2x +1)

expand

x^2 - 5x - 2x - 1

x^2 - 7x - 1

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3 years ago

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nordsb [41]

Answer:

$\boxed{a_n \: = \: 64 \: \times \: ( - \frac{3}{4} ) ^{n \: - \: 1} }$

Step-by-step explanation:

We first compute the ratio of this geometric sequence.

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We simplify the fractions:

$r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4}$

We deduce that it is the common ratio because it is the same between each pair.

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We use the first term and the common ratio to describe the equation:

$a_1 \: = \: 64; \: r \: = \: - \frac{3 }{4}$

<h3>We apply the data in this formula:</h3>

$\boxed{a_n \: = \: a_1 \: \times \: {r}^{ n \: - \: 1} }$

_______________________

<h3>We apply:</h3>

$\boxed {\bold{a_n \: = \: 64 \: \times \: {( - \frac{3}{4} )}^{ n \: - \: 1} }}$

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>

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