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Agata [3.3K]
2 years ago
14

Find one value of xxx that is a solution to the equation: (5x+2)^2+15x+6=0(5x+2) 2 +15x+6=0

Mathematics
1 answer:
11111nata11111 [884]2 years ago
5 0

An equation is formed of two equal expressions. The solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution to the equation,

(5x+2)² + 15x + 6=0

25x² + 4 + 20x + 15x + 6 = 0

25x² + 35x + 10 = 0

Plotting the equation on the graph, the value of x is,

x = -0.4, -1

Hence, the solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

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Simplify the expression 8xy + 6.3h + 7xy - xy - 2h
solong [7]
Answer:

14xy+4.3h


Step-by-step:

= 8xy + 6.3h + 7xy - xy + -2h

= (8xy + 7xy + -xy) + (6.3h + -2h)

=14xy + 4.3h
6 0
3 years ago
Please find the result !​
Sliva [168]

Answer:

\displaystyle - \frac{1}{2}

Step-by-step explanation:

we would like to compute the following limit:

\displaystyle  \lim _{x \to 0} \left( \frac{1}{  \ln(x +  \sqrt{  {x}^{2}  + 1} ) } -  \frac{1}{  \ln(x + 1) }  \right)

if we substitute 0 directly we would end up with:

\displaystyle\frac{1}{0}  -  \frac{1}{0}

which is an indeterminate form! therefore we need an alternate way to compute the limit to do so simplify the expression and that yields:

\displaystyle  \lim _{x \to 0} \left( \frac{ \ln(x + 1) -  \ln(x +  \sqrt{ {x}^{2} + 1 } }{  \ln(x +  \sqrt{  {x}^{2}  + 1} )  \ln(x + 1)  }  \right)

now notice that after simplifying we ended up with a<em> </em><em>rational</em><em> </em>expression in that case to compute the limit we can consider using L'hopital rule which states that

\rm \displaystyle  \lim _{x \to c} \left( \frac{f(x)}{g(x)}  \right)  = \lim _{x \to c} \left( \frac{f'(x)}{g'(x)}  \right)

thus apply L'hopital rule which yields:

\displaystyle  \lim _{x \to 0} \left( \frac{  \dfrac{d}{dx}  \ln(x + 1) -  \ln(x +  \sqrt{ {x}^{2} + 1 }  }{   \dfrac{d}{dx} \ln(x +  \sqrt{  {x}^{2}  + 1} )  \ln(x + 1)  }  \right)

use difference and Product derivation rule to differentiate the numerator and the denominator respectively which yields:

\displaystyle  \lim _{x \to 0} \left( \frac{ \frac{1}{x + 1}  -  \frac{1}{ \sqrt{x + 1} }  }{ \frac{ \ln(x + 1)}{ \sqrt{ {x}^{2}  + 1 }     }    +  \frac{  \ln(x +  \sqrt{x ^{2} + 1 }  }{x + 1} }  \right)

simplify which yields:

\displaystyle  \lim _{x \to 0} \left( \frac{ \sqrt{ {x}^{2} + 1  } - x - 1 }{  (x + 1)\ln(x  + 1 )  +  \sqrt{ {x}^{2}  + 1} \ln( x + \sqrt{ {x }^{2}  + 1} )   }  \right)

unfortunately! it's still an indeterminate form if we substitute 0 for x therefore apply L'hopital rule once again which yields:

\displaystyle  \lim _{x \to 0} \left( \frac{  \dfrac{d}{dx} \sqrt{ {x}^{2} + 1  } - x - 1 }{  \dfrac{d}{dx}  (x + 1)\ln(x  + 1 )  +  \sqrt{ {x}^{2}  + 1} \ln( x + \sqrt{ {x }^{2}  + 1}  )  }  \right)

use difference and sum derivation rule to differentiate the numerator and the denominator respectively and that is yields:

\displaystyle  \lim _{x \to 0} \left( \frac{  \frac{x}{ \sqrt{ {x}^{2} + 1 }  }  - 1}{      \ln(x + 1)   + 2 +  \frac{x \ln(x +  \sqrt{ {x}^{2} + 1 } ) }{ \sqrt{ {x}^{2} + 1 } } }  \right)

thank god! now it's not an indeterminate form if we substitute 0 for x thus do so which yields:

\displaystyle   \frac{  \frac{0}{ \sqrt{ {0}^{2} + 1 }  }  - 1}{      \ln(0 + 1)   + 2 +  \frac{0 \ln(0 +  \sqrt{ {0}^{2} + 1 } ) }{ \sqrt{ {0}^{2} + 1 } } }

simplify which yields:

\displaystyle - \frac{1}{2}

finally, we are done!

6 0
3 years ago
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Pls help im in dire need cause bainly doesnt got this yet
ohaa [14]

\sf -3\le x\le3  as the line has the ends which has closed dot to indicate that the endpoint is part of the solution. Also its between the points -3 and 3.

7 0
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Which deal is better to buy 5.90 buy 3 books get one free book or 6 for 24.96
maria [59]

Answer:

6 for $24.96

Step-by-step explanation:

$5.90 * 3 = $17.70

Therefore 4 books would be $17.70 because you get one for free

$24.96/6 = $4.16

Therefore if you got 4 books it would be $16.64

So, buying 6 books would be cheaper.

6 0
2 years ago
How do you Evaluate 3f(2)
kondor19780726 [428]

IT IS TWELVE............ 12

4 0
2 years ago
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