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QveST [7]
3 years ago
14

5.Find the domain of the following function:

Mathematics
2 answers:
Vladimir79 [104]3 years ago
3 0

Answer:

(-∞,∞)

B) x cannot equal -4, 2

Step-by-step Explanation:

The function, y = x + 2, has a domain of (-∞,∞) because the equation will remain true no matter number you plug for x.

For the second question, x would be equal to -2 and 4.  You can find this by factoring the equation.  x² + 2x - 8 = (x - 2)(x + 4)  Your answer should be B

vichka [17]3 years ago
3 0

Answer:

B) x cannot equal −4, 2

Step-by-step explanation:

x² + 2x - 8 = 0

When x = -4, 2

When the denominator becomes zero, function becomes undefined

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8 0
3 years ago
Read 2 more answers
When Colton commutes to work the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a s
larisa86 [58]

Answer:

The Probability that commute will be between 33 and 35 minutes to the nearest tenth =  0.0189 ≅1.89%  

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

<em>Given mean of the Population(μ) = 41 minutes</em>

<em>Given standard deviation of the Population (σ) =  3 minutes</em>

<em>let  'X' be the random variable of Normal distribution</em>

Let X = 33

Z = \frac{x -mean}{S.D} =\frac{33-41}{3} = -2.66

let X = 35

Z = \frac{x -mean}{S.D} =\frac{35-41}{3} = -2

<u><em>Step(ii)</em></u>:-

The Probability that commute will be between 33 and 35 minutes to the nearest tenth

P(33≤ X≤35) = P(-2.66 ≤X≤-2)

                     = P( X≤-2) - P(X≤-2.66)

                     =  0.5 - A(-2) - (0.5 - A(-2.66)

                     =   0.5 -0.4772 - (0.5 -0.4961)  (From normal table)

                    = 0.5 -0.4772 - 0.5 +0.4961

                     = 0.4961 - 0.4772

                    = 0.0189

<em>The Probability that commute will be between 33 and 35 minutes to the nearest tenth =  0.0189 ≅1.89%                 </em>  

                     

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Step-by-step explanation:

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