Describe how the graph of g(x) is related to the graph of f(x) = 1/x. g(x) = -1/x +5
1 answer:
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1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
Step-by-step explanation:
<em>Step(i)</em>:-
<em>Given sample size 'n' =300</em>
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
<em>Given sample proportion </em>
<em> </em>
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
<em>90% confidence interval for the proportion is determined by</em>
(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
<u>final answer</u>:-
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)