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Luba_88 [7]
3 years ago
9

What are the solutions of the equation 3x^2+6x-24=0

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

x = - 4, x = 2

Step-by-step explanation:

Given

3x² + 6x - 24 = 0 ( divide through by 3 )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

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4 0
3 years ago
Use elimination to solve<br><br> 3y-6x=7-4y-3x=9
Masja [62]
Reorder both sides

3y-6x=9
7-4y-3x=9

Multiply both sides
-6x-3y=9
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3 years ago
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Step-by-step explanation:

3 0
3 years ago
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An olympic sprinter can run 56 yards in 8 seconds. At the same rate, how long (in seconds) would it take the sprinter to run 81
aniked [119]

Answer:

20,365.7 seconds

Step-by-step explanation:

First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:

1 mi = 1760 yards

If we multiply both sides by 81:

81 mi = 142,560‬ yards

And we know that the sprinter needs 8 second to run 56 yards:

8 s = 56 yards

If we divide both sides by 56 we get the time he needs for 1 yard:

8/56 s = 56/56 yards

1/7 s = 1 yard

So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:

(1/7) * 142,560 = 20,365.7

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What is the absolute value of -90?
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Step-by-step explanation:

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