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4 years ago

11

A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the b

ag.
What is the probability that the marble drawn will not be blue?

29

34

79

78

1 answer:

Vera_Pavlovna [14]4 years ago

3 0

All possible outcomes - 36
a marble is not blue - 28

probability - $\dfrac{28}{36}=\dfrac{7}{9}$

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At Nivea's Newsstand, 6 magazines cost $12.00. How many magazines could you buy with $16.00?

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The quadratic equation 8x²+12x-14 has two real roots. What is the sum of the squares of these roots?

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Answer:

The real roots are

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The given quadratic equation is $8x^2+12x-14$ has two real roots.

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For quadratic equation $ax^2+bx+c=0$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where a and b are coefficents of $x^2$ and x respectively, c is a constant.

For given quadratic equation

a=4, b=6, c=-7

$x=\frac{-6\pm\sqrt{6^2-4(4)(-7)}}{2(4)}$

$=\frac{-6\pm\sqrt{36+112}}{8}$

$=\frac{-6\pm\sqrt{148}}{8}$

$=\frac{-6\pm\sqrt{37\times 4}}{8}$

$=\frac{-6\pm\sqrt{37}\times\sqrt{4}}{8}$

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$\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}$

$=\frac{-6}{4}$

$=\frac{-3}{2}$

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