3 years ago

Find the product and sum of the roots of the equation: 3x^2-10=0

Mathematics

1 answer:

cluponka [151]3 years ago

3 0

● 3x^2 - 10 = 0

Add 10 to both sides

● 3x^2 - 10 + 10 = 10

● 3x^2 = 10

Divide both sides by 3

● 3x^2/3 = 10/3

● x^2 = 10/3

● x = √( 10/3 ) or x = - √( 10/3 )

● √(10/3) + (-√(10/3)) = 0

● √(10/3) × -√(10/3) = -10/3

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What is the distance between point A located at "-412" and point B located at "-217"

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412-217

195 units

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In a recent? year, person A and person B had two concert? tours, and together they generated $ 192.9 million in ticket sales. If

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3 years ago

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3 years ago

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Mrs. Grayson uses 2/ 3 of a dozen eggs to make a small chiffon cake. If she wants to bake 6 small chiffon cakes, how many dozen

Taya2010 [7]

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2 years ago

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Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 bags of candy and made $160.50

Ghella [55]

One bag of popcorn would cost $6.50

To solve this, we can set up equations:
28p+40c=$282
17p+20c=$160.50

To solve this system, we would need to make either the candy bars the same or the bags of popcorn the same. Since we are solving for bags of popcorn, we will make the candy bars the same:
20(28p+40c=$282)
40(17p+20c=$160.50)

Which would give you:
560p+800c=$5,640
680p+800c=$6,420

Subtract them:
(680p+800c=$6,420)
-(560p+800c=$5,640)
_________________
120p=$780

Now divide by 120 to get the price of one bag of popcorn:
120p=$780
_________
120

p=$6.50

3 0

3 years ago