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QveST [7]
3 years ago
12

Using the quadratic formula, the solutions to a quadratic equation are given by (equation is in image)

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

a = -3

b = 3

c = 4

Step-by-step explanation:

Let's do this the long way!

x = \frac{-3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}}{2 \times (-3)}\\-6x = -3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\-6x + 3 = \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\(-6x + 3)^2 = 3^2 - 4 \times (-3) \times 4\\36x^2 - 36x + 9 = 9 + 48\\36x^2 - 36x - 48 = 0\\3x^2 - 3x - 4 = 0

So a = 3, b = -3, and c = -4

HOWEVER:

When you look at the terms in the solution originally given, the are all the negatives of what we see here.  That however makes sense, as we can simply multiply both sides of the equation to get the results they used:

3x^2 - 3x - 4 = 0\\-1(3x^2 - 3x - 4) = -1(0)\\-3x^2 + 3x  + 4 = 0

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Step-by-step explanation:

According to the Question,

  • Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

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