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3 years ago

Find the solution to 3 ^-x = x^ 3 + x to the nearest tenth.

Mathematics

1 answer:

galben [10]3 years ago

6 0

We can rewrite this by subtracting the right side to get

... 3^(-x) -x^3 -x = 0

A graphing calculator shows this to have a solution near x=0.5.

_____

There are no algebraic means for solving such a combination of exponential and polynomial functions.

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In the equation below, what is the value of b? 4(x-2)^2-7=ax^2+bx+c

Finger [1]

We have 4(x^2 - 2x + 4) - 7 = 4x^2 - 8x + 16 - 7 = 4x^2 - 8x + 9;
So, 4x^2 - 8x + 9 = <span>ax^2+bx+c ;
The value of b is -8.</span>

4 0

3 years ago

Hello can u please help

Andrei [34K]

y = mx + b

-3 = -2(-5) + b

-3 = 10 + b

-13 = b

y = -2m - 13

The line would pass through -13 on the y-axis and it would go down 2 and move to the right 1 for every new point.

Hope this helps! ;)

6 0

3 years ago

Read 2 more answers

A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

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3 years ago

A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x a

Nesterboy [21]

Answer:

Step-by-step explanation:

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4 years ago

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