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Bogdan [553]
2 years ago
11

two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange​

Mathematics
2 answers:
Georgia [21]2 years ago
8 0

Answer:

10 dimes and 4 quarters

Step-by-step explanation:

4quarters=1dollar

10dimes=1dollar

natta225 [31]2 years ago
7 0
10 dimes

The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.
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What’s the vertex form of F(x)=x^2+2x-3
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Answer:

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Step-by-step explanation:

\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================

\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================

\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4

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