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Makovka662 [10]
3 years ago
14

Factor the polynomial completely. 6x2 - 3x + 2

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

Answer:

option D

Step-by-step explanation:

Factor the polynomial completely. 6x^2 - 3x + 2

Apply AC method to factor

6 times 2 is 12. Product is 12 and sum is -3

We cannot find out two factors whose product is 12 and sum is -3.

Since we cannot find out two factors the given expression is prime.

It is not factorable . It cannot be factored.

Sliva [168]3 years ago
4 0
The answer is d because it cannot be factored
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Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
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Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

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