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Readme [11.4K]
3 years ago
12

Really need help. Answer following questions

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0
1. Yes x^2 + 4x + 4 - 4 + 3 = 0 is still equivalent to x^2 + 4x + 3 = 0 since whilst we have added a 4 to the function, we have also subtracted a 4, and since +4 - 4 = 0, we haven't actually changed the value of the equation

2. -1 is the sum of -4 and 3

3. (x + 2)^2 - 1 = (x + 2 + sq.root of 1)(x + 2 - sq.root of 1)
= (x + 2 + 1)(x + 2 - 1)
= (x + 3)(x + 1)
(x + 3)(x + 1) = 0
x = -3 or x = -1

Hope that makes sense :)
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The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
Which is the best estimate for the sum 2/9 +10/11 ?
irakobra [83]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Zari folds the net shown into model of a solid figure. How many edges, faces, and vertices does the model have?
adoni [48]

Answer:

Faces = 6

Vertices = 8

Edges = 12

Step-by-step explanation:

In a solid geometric shape :

         A face is a flat surface : faces = 6

         A vertex (plural: vertices) is a Corner : vertices = 8

         An edge is a particular type of line segment joining

                                                          two vertices : Edges = 12

                       

6 0
3 years ago
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