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MatroZZZ [7]
3 years ago
10

Kate has 21 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if she has $1.50? 3 nickels and 18

dimes 5 nickels and 16 dimes 12 nickels and 9 dimes 15 nickels and 6 dimes
Mathematics
2 answers:
laiz [17]3 years ago
8 0
I believe 12 nickels and 9 dimes
Brut [27]3 years ago
4 0
It would be 12 nickels and 9 dimes

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Aleks04 [339]

Answer:

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Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

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b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

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<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0
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