1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Black_prince [1.1K]
3 years ago
14

Which polynomial represents the sum below?

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
The correct answer is:  [D]:  " 4x² − 12x − 4 " .
___________________________________________________
Explanation: 
___________________________________________________
Given:
___________________________________________________
    "  (16x²  − 16)  +  ( -12x² − 12x + 12) " ;    Simplify.
___________________________________________________
Note the "distributive property of multiplication:
___________________________________________________
  a(b + c)  =  ab +  ac ; 

  a(b − c)  =  ab − ac .
___________________________________________________
So we can rewrite the expression as:

  "  (16x²  − 16)  +  1( -12x² − 12x + 12) "  ; 

{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.

Let us examine the following part of the expression:
_________________________________________________
    "  + 1 ( -12x² − 12x + 12 ) " ;

Using the distributive property of multiplication:
 
"  + 1 ( -12x² − 12x + 12 )  =  (1 * -12x²) − (1 * 12x) + (1 * 12) ; 

                                        =   "  − 12x² − 12x + 12 " ; 
_________________________________________________
Now, bring down the other part of the expression; & rewrite:
_________________________________________________
→   " (16x²  − 16)  − 12x² − 12x + 12 " ; 

   →  " 16x²  − 16 − 12x² − 12x + 12 "  ;

Now, combine the "like terms" :

     + 16x²  −  12x²  = 4x²  ; 

     − 16 + 12 =  -4 ; 

and we have " − 12x" ;

So we can rewrite the expression as:
_______________________________________________________

 →   " 4x² − 12x − 4 " ; 

        →  which is:  "Answer choice:  [D]:  " 4x² − 12x − 4 <span>" .
</span>_______________________________________________________
 
You might be interested in
Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!!
Anni [7]

Answer:

What's the question? Please post the full question

5 0
3 years ago
Read 2 more answers
Which statement about the ordered pairs (2, −9)(2, −9) and (3, −6)(3, −6) is true for the equation 5x−y3=135x−y3=13 ?
dedylja [7]
5x - y³ = 135x - y³ = 13
The answer can be obtained by simply putting the ordered pair into the equations. First (2 , -9)
5(2) - (9)³ = 135(5) - (-9)³ = 13
10 + 729 = 675 + 729 = 13
739 = 1404 = 13
This is not true. Therefore this is not a solution
Second (3,-6)
5(3) - (-6)³ = 135(5) - (-6)³ = 13
231 = 891 = 13
This is also not true
Therefore, neither ordered pair is a solution.
7 0
3 years ago
Read 2 more answers
Answer this question please.
JulijaS [17]

Answer:

56

Step-by-step explanation:

The probability both spiners land on red: 0,5*0,6=0,3 (0,5 is A spine lands on red and 0,6 is B spiner lands on red)

The number of both spiners land on red is 84.

So we have:

X——>100%

84——->30%

X=8400/30

X=280

The total number of all spines A and B for onse.

The probability to both spiners land on blue is:

0,5*0,4=0,2 (0,5 is probabiliti to A lands on blue, 0,4 is B lands on blue)

The number of both spiners land on blue is:

280*0,2=56

4 0
3 years ago
Two times the greater of consecutive integers is 9 less than three times the lesser integer. What are the integers?
BigorU [14]

Answer:

The integers are 11 and 12.

Step-by-step explanation:

Let x be the greater integer, then the lesser is x - 1, so:

2x = 3(x -1) - 9       Distribute the 3:

2x = 3x - 3 - 9       Subtract 3x from both sides:

-x = -3 - 9

-x = -12

x = 12.

6 0
3 years ago
You want to buy DVDs and are searching for the best price. You found two stores having sales on DVDS. Which is the one that offe
Mazyrski [523]

Answer:

Store 1 Has a better deal as your paying 1.50 less which is 50 percent off

Step-by-step explanation:

Lets say a DVD costs 1.50

so if you bought 2 for the price of one it would be 1.50

3 for the price of 2 would be 3 dollars.

If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars

3 CDS for the price of 3 would be 4.50

The Amount of money depends on the cost of 1 CD.

Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.

sorry if this was confusing^^

6 0
3 years ago
Other questions:
  • Find the lateral and surface area of each cone
    8·1 answer
  • 1) Which statement contains an exact number? A) A gross of paper contains 144 sheets. B) One sheet of paper is 0.0042 inches thi
    6·1 answer
  • 2.54rounded to nearest tenth
    5·2 answers
  • EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
    9·1 answer
  • Please help me out on this!
    7·1 answer
  • Find the value<br>x- 1/x​
    6·1 answer
  • Subtract polynomials: <br> (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
    5·1 answer
  • Two of the 240 passengers are chosen at random. Find the probability that
    13·1 answer
  • The current temperature is 48°F. It is expected to drop 1.5°F each hour.
    11·1 answer
  • It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!