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3241004551 [841]
4 years ago
5

How many real number solutions does this have 3x^2 + 8x +7=0

Mathematics
1 answer:
kompoz [17]4 years ago
5 0

Answer:

  zero

Step-by-step explanation:

The answer to that question is best found by looking at the value of the <em>discriminant</em>.

For quadratic ax^2 +bx +c = 0, the value of the discriminant is ...

  d = b^2 -4ac

Here, you have a=3, b=8, c=7, so the discriminant is ...

  d = 8^2 -4(3)(7) = 64 -84 = -20

When the discriminant is negative, both solutions are complex (not real).

There are zero real solutions to this equation.

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Answer:

A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500 individuals (one‑half urban, one‑half rural) randomly selected from across the United States. She is specifically interested in any differences that may exist between the two groups with regard to usage. The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average, while those in rural areas use bank cards 10 times per month on average. Which of the following is the null hypothesis that the researcher should use in comparing the usage rates?

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