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3 years ago

14

A candy dispenser has 20 golden wrapped chocolate balls, 25 green hard candies and 30 pink gumballs. What is the least number of

candies you have to get in order to be absolutely certain that three of them are pink gumballs?

1 answer:

blondinia [14]3 years ago

8 0

18 is my answer. You should still try to do the work yourself just to make sure its correct

Happy studying ^-^

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Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$

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2 years ago

la razon entre los pesos de juan y su padre es 2:5, si sus pesos suman 105 kg, ¿cuanto pesa juan y cuanto pesa su papa?

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3 years ago

Need quick help on this

Masteriza [31]

Answer:

C.

Step-by-step explanation:

I cant really explain it but i had the same question and had the answer worked out on the paper

Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)

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8/9 divided by 12 is 2/27

its simplest form would be 2/27

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