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ss7ja [257]
3 years ago
9

How is 27x^2-57x+14 factored

Mathematics
2 answers:
Semmy [17]3 years ago
8 0

Answer: (3✖️- 7) (9✖️ +2)

Step-by-step explanation:

3^3 ✖️^2 -57✖️) - 14

Luden [163]3 years ago
3 0
27x2-57x-14

Final result :

(3x - 7) • (9x + 2)
Step by step solution :

Step 1 :

Equation at the end of step 1 :

(33x2 - 57x) - 14
Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 27x2-57x-14

The first term is, 27x2 its coefficient is 27 .
The middle term is, -57x its coefficient is -57 .
The last term, "the constant", is -14

Step-1 : Multiply the coefficient of the first term by the constant 27 • -14 = -378

Step-2 : Find two factors of -378 whose sum equals the coefficient of the middle term, which is -57 .

-378 + 1 = -377
-189 + 2 = -187
-126 + 3 = -123
-63 + 6 = -57 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -63 and 6
27x2 - 63x + 6x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :
9x • (3x-7)
Add up the last 2 terms, pulling out common factors :
2 • (3x-7)
Step-5 : Add up the four terms of step 4 :
(9x+2) • (3x-7)
Which is the desired factorization

Final result :

(3x - 7) • (9x + 2)
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Answer:

The answer will always be 1/36 with 2 dice for any numbers under 7

each.

The numbers go like this

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Step-by-step explanation:

Probability Table of Rolling Two Dice

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Alexeev081 [22]
Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation \frac{25}{100} and the decimal representation 0.25. All of these representations are just different ways of writing the same value.

Note too that the fraction \frac{25}{100} can be reduced to \frac{1}{4}, so what the question is really asking is: 1/4 of what number is 9?

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4 0
4 years ago
In a shop for every pant there are 3 shirts and for every 9 shirts there are 27 pairs of shoes. Express the ratio of pants to sh
gavmur [86]

Answer:

1 : 3 : 9

Step-by-step explanation:

For every Pant = 3 shirts

If

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For :

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Simplifying further :

1 shirt = 3 pairs of shoes

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