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3 years ago

Find the value of x ?!??

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

x=4

Step-by-step explanation:

Pentagon's sum of interior angle is 540°

let's add all the given degrees

100+20x+16x+16+140+160-5x=540

Collect like terms

100+16+140+160+20x+16x-5x=540

416+31x=540

31x=540-416

31x=124

x=124/31

x=4```

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For what values of x is the graph of y equals negative 3 divided by the quantity 4 plus x concave downward?

Elena-2011 [213]

We are given our function as

$y=\frac{-3}{x+4}$

For finding concavity , firstly we will find second derivative

$y'=\frac{d}{dx}\left(\frac{-3}{x+4}\right)$

$=-3\frac{d}{dx}\left(\frac{1}{x+4}\right)$

$=-3\left(-\frac{1}{\left(x+4\right)^2}\right)\cdot \:1$

$y'=\frac{3}{\left(x+4\right)^2}$

now, we can find derivative again

$y''=\frac{d}{dx}\left(\frac{3}{\left(x+4\right)^2}\right)$

$=3\frac{d}{dx}\left(\left(x+4\right)^{-2}\right)$

$y''=3\left(-\frac{2}{\left(x+4\right)^3}\right)\cdot \:1$

$y''=-\frac{6}{\left(x+4\right)^3}$

now, we can know second derivative is undefined when denominator =0

so, we set denominator =0

and then we can solve for x

$x+4=0$

$x=-4$

now, we can draw a number line and locate x=-4

and then we can find sign of second derivative on each intervals

so,

Concave downward interval:

$(-4,\infty)$

6 0

3 years ago

Which of the following has a value of 84? <br> A. 512 <br> B. 4,096 <br> C. 32 <br> D. 83

andreev551 [17]

Answer is B. 4,096

I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.

So 8⁴ is equal to 4,096.

8 x 8 x 8 x 8 = 4,096

8 x 8 = 64
64 x 8 = 512
512 x 8 = 4,096

6 0

4 years ago

What is the constant of proportionality between y & x in the graph

Murrr4er [49]

Answer:

The constant of Proportionality is 1.

Step-by-step explanation:

Both x & y go up by 1. They are also always the same number. Therefore the constant of Proportionality is 1.

8 0

3 years ago

Set up a rational equation and then solve the following problems. A positive integer is twice another. The difference of the rec

kupik [55]

Answer:

9 and 18

Step-by-step explanation:

2x and x are the numbers

1/x-1/2x=1/18

2/2x-1/2x=1/18

1/2x=1/18

2x=18X=9,

2x=18

The two integers are 9 and 18

3 0

3 years ago

Question number 3 please help

Masteriza [31]

Answer:

Step-by-step explanation:

8 for every 10

30/10 = 3

8 x 3=24

3 0

2 years ago