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Ray Of Light [21]
3 years ago
9

R 2x-6+3=6x-5 please help

Mathematics
2 answers:
miss Akunina [59]3 years ago
5 0
Ok so if this is basic algebra it should be x=-1

First combine like terms:

you can add 6 and 3 in 2x-6+3

2x-9=6x-5

Second get x alone:

you can add 9 to both sides and get

2x=6x+4

then you can subtract 6 from both sides which would leave you

-4x=4

finally divide -4 from both sides and you get

x=-1

I hope this helps! Have a nice day or night :)


frozen [14]3 years ago
3 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2x - 6 + 3 = 6x - 5

2x - 3 = 6x - 5

6x - 5 = 2x - 3

Add sides 5

6x - 5 + 5 = 2x - 3 + 5

6x = 2x + 2

Subtract sides 2x

- 2x + 6x =  - 2x + 2x + 2

4x = 2

Divide sides by 4

\frac{4x}{4}  =  \frac{2}{4}  \\

x =  \frac{1}{2}  \\

_________________________________

CHECK :

2( \frac{1}{2} ) - 3 = 6( \frac{1}{2} ) - 5 \\

1 - 3 = 3 - 5

- 2 =  - 2

Thus the solution is correct....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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8 0
3 years ago
Y=x^2-12x+45 vertex form and coordinate vertex
zysi [14]
Best Answer

<span><span> x2-12x-45=0</span> </span>Two solutions were found :<span> x = 15 x = -3</span>

Step by step solution :<span>Step  1  :</span>Skip Ad
Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-12x-45</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -12x </span> its coefficient is <span> -12 </span>.
The last term, "the constant", is <span> -45 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -45 = -45</span> 

Step-2 : Find two factors of  -45  whose sum equals the coefficient of the middle term, which is  <span> -12 </span>.

<span><span>     -45   +   1   =   -44</span><span>     -15   +   3   =   -12   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  3 
                     <span>x2 - 15x</span> + 3x - 45

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-15)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-15)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-15)
             Which is the desired factorization

<span>Equation at the end of step  1  :</span> (x + 3) • (x - 15) = 0 <span>Step  2  :</span>Theory - Roots of a product :

<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x+3 = 0<span> 

 </span>Subtract  3  from both sides of the equation :<span> 
 </span>                     x = -3 

Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-15 = 0<span> 

 </span>Add  15  to both sides of the equation :<span> 
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Supplement : Solving Quadratic Equation Directly<span>Solving <span> x2-12x-45</span>  = 0 directly </span>

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

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 </span>Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span> 

 </span>Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.<span> 

 </span>For any parabola,<span>Ax2+Bx+C,</span>the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000 <span> 

 </span>Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :<span> 
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</span>or   y = -81.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : <span> y = x2-12x-45</span>
Axis of Symmetry (dashed)  {x}={ 6.00} 
Vertex at  {x,y} = { 6.00,-81.00}  
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Root 1 at  {x,y} = {-3.00, 0.00} 
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3 0
3 years ago
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zavuch27 [327]

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