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tekilochka [14]
3 years ago
6

Factor the expression 4x^2 - 12x - 7

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Answer:

(2x+1) (2x-7)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -7 = -28

Find two factors of  -28  whose sum equals the coefficient of the middle term, which is   -12

(  -28    +    1    =    -27  

     -14    +    2    =    -12  )

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  2  

                    4x2 - 14x + 2x - 7

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

                   2x • (2x-7)

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

                    1 • (2x-7)

Add up the four terms :

                   (2x+1)  •  (2x-7)

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You multiply the top and bottom by 5, as 5x20 is 100

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erastovalidia [21]
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Elena L [17]

Answer:

1: 2003

2: 1425

3: 2018

Step-by-step explanation:

1: 875 = 275x + 50.

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4,950 = 275x.

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6 0
3 years ago
Two times a number plus four is 22. What is the number?
lions [1.4K]
Work out the equation backward.
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40% of a number is 44. Find the number
Marta_Voda [28]

Answer:

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Step-by-step explanation:

40% is the same as 40/100, which is equal to 0.4. Therefore, you can write the following equation:

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Divide both sides by 0.4 to isolate x:

x=44/0.4=110

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