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3 years ago

A number y is multiplied by -0.8. The product is -49. What is the value of y?

Mathematics

1 answer:

Crank3 years ago

4 0

(-0.8)y = -49

Divide both sides by -0.8

y=61.25

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If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .

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$2y^2-7y+6=0$

Step-by-step explanation:

We are given that $\alpha$ and $\beta$ are the zeroes of the polynomial $6y^2-7y+2$

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General quadratic equation

$x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes$

We get

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$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}$

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Substitute the values

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Hi there! Hopefully this helps!

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Answer to the first equation: 3.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the second equation: 7

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the third equation: -2.

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Answer to the fourth equation: -3

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