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wlad13 [49]
3 years ago
14

What is the factorization of the polynomial below? 9x2 - 16

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0

use (a-b) (a+b )

(3x+4) (3x- 4)

saul85 [17]3 years ago
3 0
<h3><u>Answer</u><u>:</u><u>-</u></h3>

\bigcirc(9x+4)(x-4)

\bigcirc(9x-4)(x-4)

\odot(3x+4)(3x-4)

\bigcirc(3x-4)(3x-4)

<h2>_____________________</h2><h3><u>Calculations</u><u>:</u><u>-</u></h3>

<h2><u>Let's</u><u> </u><u>Factori</u><u>s</u><u>e</u><u>:</u><u>-</u></h2>

{:}\leadsto \sf 9x^2-16

  • Let's use algebraic identity for factorisation

{\boxed{\sf (a+b)(a-b)=(a)^2-(b)^2}}

  • Here see 16 is the square of 4 and 9x^2 is the square of 3x

{:}\leadsto \sf 3x^2-4^2

  • Now According to identity

{:}\leadsto \sf (3x+4)(3x-4)

<h3>Hence the correct option is option C.</h3>

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Simplify the expression 16*4^-4
Neporo4naja [7]
First, solve the exponent part because it has a higher precedence than multiplication. And we have a negative exponent. Which means we takes the reciprocal of 4 then take to the power of 4.

4^-4 = 1/4^4 = 1/256

Now do the multiplication part.

16 * 1/256 = 1/16


7 0
3 years ago
Read 2 more answers
Which polynomial is equivalent to (z+3)^2
Leokris [45]

Answer:

z-3/z+3-z-9/z2+3z

Final result :

 3 • (z3 + z2 - z - 3)

 ———————————

          z2          

Step-by-step explanation:

Step  1  :

            9

Simplify   ——

           z2

Equation at the end of step  1  :

       3         9

 ((((z-—)+3)-z)-——)+3z

       z        z2

Step  2  :

           3

Simplify   —

           z

Equation at the end of step  2  :

          3                  9    

 ((((z -  —) +  3) -  z) -  ——) +  3z

          z                 z2    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  z  as the denominator :

         z     z • z

    z =  —  =  ——

         1       z  

3 0
3 years ago
12. On Saturday, Mrs. Armour bought 7 pairs of socks for $3 each, and a
Tatiana [17]
The answer is 28 $ ok I think that
3 0
3 years ago
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A swimming pool in the shape of a right rectangular prism is filled with water. The pool is 25 yards long, 10 yards wide, and 2
Elanso [62]

Answer:

10400 lb

Step-by-step explanation:

First find the volume of the water in the pool:  It is V = (length)(width)(height).

Here, V = (25 yds)(10 yds)(2/3 yd), or (500/3  yds³.

Then multiply this result by the unit rate (62.4 lb / ft³).  

The result is  10400 lb.  This is the weight of the water in the pool.

4 0
3 years ago
point C (4, -3) is translated left 3 and up 5 and is then dilated by a scale factor of 4. What are the coordinates of C'?
sergeinik [125]

Answer: (4, 8)

Step-by-step explanation:

When you translate something to the left you need to subtract the amount you moved left from the original x input

1. Subtract 3 from the coordinates x input

4 - 3 = 1

When you translate something up you need to add the amount you moved up to the original y output

2. Add 5 to the coordinates y output

-3 + 5 = 2

When done translating to the left and up your coordinate is now (1, 2)

When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output

3. Multiply 4 to the x input and y output of your newley translated coordinate

1 × 4 = 4 (x input)

2 × 4 = 8 (y output)

So now your final coordinate for C' is (4, 8)!

Hope this helps :)

8 0
3 years ago
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