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Tanya [424]
2 years ago
10

How to solve 45y to the second power plus 15y minus 10 ?

Mathematics
1 answer:
Lerok [7]2 years ago
4 0

Answer:

Either y =\frac{-2}{3} or, y =\frac{1}{3}

Step-by-step explanation:

We have to solve the following quadratic equation  

45y² + 15y - 10 =0

Now, dividing both sides with 5 we get, 9y² + 3y -2 =0

Hence, to solve the above equation we have to factorize the left-hand part of the equation.

So, 9y² + 3y - 2 =0

⇒ 9y² +6y -3y -2 =0

⇒ (3y +2) (3y -1 ) =0

⇒ Either (3y +2) =0 or (3y -1) =0

⇒ Either y =\frac{-2}{3} or, y =\frac{1}{3} (Answer)

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Step-by-step explanation:

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3 years ago
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The length of a rectangle is twice its width. The perimeter of the rectangle is 126ft.
umka21 [38]
Alright, so let's make the length x and the width y. 2y=x, and xy=area. 2x+2y=perimeter. Plugging 2y=x into the perimeter equation, we get that 3x=perimeter=126, and x=126/3=42

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2 years ago
It took team rise over run 1 2/3 hours to hike 4 2/3 miles. What is their average speed in miles per hour?
pogonyaev

To find their average miles per hour we can divide the total miles by the hour used:

4 2/3 ÷ 1 2/3

=4x3+2/3 ÷ 1x3+2/3

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In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.

=14/3 x 3/5

Factorize 3 in both amounts:

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=2.8 miles/hour

Therefore their average speed is 2.8 miles/hour.

Hope it helps!

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2 years ago
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