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Natasha2012 [34]
3 years ago
11

Solve the equation by the zero factor property 6x^2 -5x -6=0

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0
First, you need to factor the polynomial.

I'll use the trial and error method.

6x^2 - 5x - 6 = 0

6 has factors
6 and 1
3 and 2

I'll try 3 and 2 first.

(3x     )(2x      ) = 0

Now we need to factor -6.
-6 factors into
-1, 6
-6, 1
-2, 3
-3, 2

Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.

(3x + 2)(2x - 3) = 0

That did it.

Now we use the zero factor property.

3x + 2 = 0 or 2x - 3 = 0

3x = -2      or 2x = 3

x = -2/3     or x = 3/2
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Answer:

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Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

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  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

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  average rate = 560/11 = 50 10/11 . . . mph

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No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

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c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

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A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the
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Given:

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