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viktelen [127]
3 years ago
6

Find a quadratic equation whose roots are the reciprocals of the roots of 3x^2+5x-2=0.

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0
3x^2 + 5x - 2 = 0
3x^2 + 6x - x - 2 = 0
(3x^2 + 6x) + (-x - 2) = 0
3x(x + 2) - 1(x + 2) = 0
(3x - 1)(x + 2) = 0
3x - 1 = 0 or x + 2 = 0
3x = 1 or x = -2
x = 1/3 or x = -2

Reciprocals are 3 and -1/2
Equation with roots at 3 and -1/2 is (x - 3)(x + 1/2) = x^2 - 5/2 x - 3/2 = 2x^2 - 5x - 3
Therefore, required equation is y = 2x^2 - 5x - 3
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Rachel uses 1/3 cup of oil for every cake she bakes. If she used 4 cups of oil one day, she made __ cakes. If she used 2 cups of
Leno4ka [110]

First answer: 12

Second answer: 6

=================================================

How to get these answers

She uses 1/3 of a cup for 1 cake, so we have this ratio

1/3 cup : 1 cake

Multiply both sides by 3 and we end up with

1 cup : 3 cakes

Then multiply both sides by 4 to change "1 cup" to "4 cups" and we have

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-------------

For part 2, we'll follow the same steps as before, but instead of multiplying both sides by 4, we do 2 instead because we're dealing with 2 cups of oil.

1/3 cup : 1 cake

3*(1/3 cup) : 3*(1 cake)

1 cup : 3 cakes

2*(1 cup) : 2*(3 cakes)

2 cups : 6 cakes which is the answer to the second part

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Step-by-step explanation:

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3 years ago
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Neporo4naja [7]

The answer is 22/5


You multiply 5 and 4, which you get twenty, then you add 2 and you get 22. Divide that by 5, and you get 22/5.


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