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Fiesta28 [93]
3 years ago
14

Zachary purchased a computer for $1,300 on a payment plan. Two months after he purchased the​ computer, his balance was $1,100.

Four months after he purchased the​ computer, his balance was $900. What is an equation that models the balance y after x​ months?
Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

y = 1300 - 100x

Step-by-step explanation:

Zachary purchased a computer for $1300

The first step is to calculate the purchase he paid after 2 months

= 1,300-1,100

= $200

Then the purchase after 1 month is

= $200/2

= $100 per month

The purchase made after 4 months is

= 1,100-900

= $200

The purchase after a month is

= $200/2

= $100 per month

Therefore the equation that models the balance y after x months is

= initial amount of payment plan - amount per month

y= 1,300 - 100x

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Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

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Equation at the end of step 1

 ((2•3x2) -  x) -  2

STEP

2

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Trying to factor by splitting the middle term

2.1     Factoring  6x2-x-2  

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   6 • -2 = -12  

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -1 .

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  3  

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Step-4 : Add up the first 2 terms, pulling out like factors :

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             Add up the last 2 terms, pulling out common factors :

                    1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

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            Which is the desired factorization

Final result :

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