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labwork [276]
3 years ago
6

Write a quadratic equation that has x-intercepts of -1/3 and 5/2

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
<h2>Answer:6x^{2}-13x-5</h2>

Step-by-step explanation:

Given that the two roots of the quadratic equation are \frac{-1}{3} and \frac{5}{2}.

If \alpha,\beta are the roots of the quadratic equation,the equation is (x-\alpha )(x-\beta ).

It is given that \alpha =\frac{-1}{3} and \beta =\frac{5}{2}.

So,the equation is

(x-(\frac{-1}{3}))(x-\frac{5}{2})

=x^{2}-\frac{5}{2}x+\frac{x}{3}-\frac{5}{6}

=6x^{2}-13x-5

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An 80 kg boat that is 9.6 m in length is initially 7.6 m from the pier. A 46 kg child stands at the end of the boat closest to t
kakasveta [241]

Answer:

  13.695 m

Step-by-step explanation:

The assumption made here is that the boat/water interface is essentially frictionless, so that the center of mass of the system remains in the same place as the occupant of the boat moves around.

__

We can find the sum of the moments of boat and child about the pier end:

  (46 kg)(7.6 m) + (80 kg)((7.6 +9.6/2) m) = 1341.6 kg·m

After the child moves, the center of mass of boat and child is presumed to remain in the same place. If x is the new distance from the pier to the child, the sum of moments is now ...

  46x +80(x-4.8)* = 1341.6

  126x -384 = 1341.6

  x = (1341.6 +384)/126 = 13 73/105 ≈ 13.695 . . . meters

The child is about 13.695 meters from the pier when she reaches the far end of the boat.

_____

* The center of mass of the boat alone is half its length closer to the pier than is the child, so is located at x-4.8 meters.

6 0
3 years ago
Help please asapppppp click on pic
nordsb [41]

Answer:

27.60

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use subtraction 14 x 25 4
kobusy [5.1K]
14 x 25 = 350
350-4 = 346
4 0
3 years ago
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Tara roller the number shown. what is the greatest number she can make using each digit once 4682831
natita [175]
You just put the largest numbers first and that is the largest number she can make.

So your answer would be 886,431

Hope I Helped!!! :-)
3 0
3 years ago
Mandy has 50 yards of fabric to make costumes for a play. She makes 12 skirts that take 3 yards each, and 9 hats that take 1 yar
Otrada [13]
50 yards. You are going to be taking away from that 50, so "50 -" should be part of the expression. This eliminates C.

12 skirts that take 3 yards each means 3 yards * 12 skirts which is 3 * 12. This is being subtracted from 50.
We also want to subtract 9 hats * 1 yard which is 9 * 1 = 9

Our expression will look like this: 50 - 12 * 3 - 9 * 1
or 50 - 12 * 3 - 9, which is D
6 0
4 years ago
Read 2 more answers
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