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Ede4ka [16]
3 years ago
14

What graph represents the solution for x^2+x-12>0

Mathematics
1 answer:
Maslowich3 years ago
6 0

Step-by-step explanation:

x^2+x-12>0\\\\x^2+4x-3x-12>0\\\\x(x+4)-3(x+4)>0\\\\(x+4)(x-3)>0\\\\\text{zeros}\\\\x+4=0\Rightarrow x=-4\\\\x-3=0\Rightarrow x=3

Mark the zeros on a number line. Draw a parabola open up that goes through zeros.

We are looking for numerical intervals in which the parabola has positive values ​​(graph above the axis).

(look at the picture)

x^2+x-12\iff x\in(-\infty,\ -4)\ \cup\ (3,\ \infty)

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Answer: 1. D) 30

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4. A)  2/9

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Step-by-step explanation:    

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore,  If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = \frac{8_C_1}{30_C_1}

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4. Here, Number of red socks= 5

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5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%


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