1 year ago

Write the sum in sigma notation. $ \noindent 1 - x + x^2 - x^3 + \cdot\cdot\cdot + {(-1)}^n x^n $

Mathematics

1 answer:

Neko [114]1 year ago

3 0

$1-x+x^2-x^3...+(-1)^nx^n=\sum\limits_{n=0}^{\infty}(-1)^nx^n=\sum\limits_{n=1}^{\infty}(-1)^{n-1}x^{n-1}$

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Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.

grigory [225]

Answer: THIRD OPTION.

Step-by-step explanation:

Since $g(x) = -2f(x)$ , then $g(x)$ is:

$g(x)=-2( x + 4)\\\\g(x)=-2x-8$

In order to find which table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ , you can follow these steps:

1. Substitute $x=1$ into the function $g(x)=-2x-8$ :

$g(1)=-2(1)-8\\\\g(1)=-10$

2. Substitute $x=2$ into the function $g(x)=-2x-8$ :

$g(2)=-2(2)-8\\\\g(2)=-12$

3. Substitute $x=3$ into the function $g(x)=-2x-8$ :

$g(3)=-2(3)-8\\\\g(3)=-14$

Notice that those ouput values (for $x=1,\ x=2$ and $x=3$ ) matches with the table provided in the third option. That table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ :

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Answer:

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Step-by-step explanation:

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insens350 [35]

First, let's set up this problem.

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How did I get this?
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We can set this up to look like
44.56 = 0.08x + 10
Since he was billed 44.56.
Next, we solve for "x" for the number of texts!

x = 432 texts.

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