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3 years ago

7

Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter div for a divergent s

eries). eˆ(5-2n)

1 answer:

Iteru [2.4K]3 years ago

5 0

This is a geometric series with first term e^3 and common ratio e^-2. The sum of it will be
.. e^3/(1 -e^-2) ≈ 23.229277815766...

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Answer:

154,791

Step-by-step explanation:

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3 years ago

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Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

elena55 [62]

Answer:

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

Step-by-step explanation:

Given

$f(b) = b^2 - 75$

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

$0 = b^2 - 75$

Add 75 to both sides

$75 + 0 = b^2 - 75 + 75$

$75 = b^2$

Take square roots of both sides

$\sqrt{75} = \sqrt{b^2}$

$\sqrt{75} = b$

Reorder

$b = \sqrt{75}$

Expand 75 as a product of 25 and 3

$b = \sqrt{25*3}$

Split the expression

$b = \sqrt{25} *\sqrt{3}$

$b = \±5 *\sqrt{3}$

$b = \±5 \sqrt{3}$

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

The options are not clear enough; however the roots of the equation are $b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

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3 years ago

-8x - 2y = -24<br> Find the slope

Anon25 [30]

-8x-2y=-24
-2y=-24+8x
2y=24-8x
Y=12-4x
Y=-4x+12

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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