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Brums [2.3K]
3 years ago
7

Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roo

ts is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .
Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

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zalisa [80]

Answer:

2. y = -9x + 7

2. y = 3x - 2

3. y - 6 = 10(2x - 1)

1. 5x + 2y = 10

4. 5x = 3y + 9

3. y + 2 = 6(x - 4)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A representative from each of seven nations is to sit at a round table to discuss trade relations. How many ways can the represe
Sidana [21]
The correct answer is 720. Just turned it in and got a 100. Good luck and hoped this help ya.
7 0
3 years ago
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which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2
givi [52]
Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

Regroup:
100n^2-1

=10^2n^2-1
=(10n)^2-1^2

So the correct answer is : 
(10n)^2-1^2

To attempt to factor a polynomial of four or more terms with no common factor, first rewrite it in groups. Each group may possibly be separately factored, and the resulting expression may possibly lend itself to further factorization if a greatest common factor<span> or special form is created.</span>
5 0
3 years ago
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Need answer ASAP<br><br><br><br><br> Express a 10/3 b 7/3 in simplified radical form.
anastassius [24]
I guess this is what you mean     3√a^10      and 3√b^7
5 0
3 years ago
On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1/4 of the way. To arrive on time at the dest
Sati [7]

Answer:

10 hours

Step-by-step explanation:

(150/x) + 1.5 + (450/(x+15)) = 600/x

Multiply through by x(x + 15):

150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)

150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000

150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0

1.5x^2 + 22.5x - 6750 = 0

x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)

x = (-22.5 +/- sqrt(506.25 + 40500)) / 3

x = (-22.5 +/- sqrt(41006.25)) / 3

x = (-22.5 +/- 202.5) / 3

x = 180/3 or -225/3

x = 60 or -75

But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10  hours.

6 0
3 years ago
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