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AysviL [449]
1 year ago
6

Does the domain of the function f(x) =

alt="\sqrt{1+x}" align="absmiddle" class="latex-formula"> include x = -2?
Mathematics
1 answer:
olganol [36]1 year ago
4 0

The value x = - 2 is not part of the domain of the function f(x) = √(x + 1).

<h3>Is a given point part of the domain of a radical function?</h3>

Radical functions are functions that involves root operators. We see here a radical function of the form f(x) = √(x + a), whose domain is x ∈ [- a, + ∞), that is, x ≥ - a. If we know that f(x) = √(x + 1), then a = 1 and the domain of the function is x ∈ [- 1, + ∞), that is, x ≥ - 1.

Hence, the value x = - 2 is not part of the domain of the function f(x) = √(x + 1).

To learn more on functions: brainly.com/question/12431044

#SPJ1

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The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of
pishuonlain [190]

Answer:

Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>

So, Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

                        T.S.  =  \frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }  ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

4 0
3 years ago
Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
saw5 [17]

Answer:

a_{n} = 4 (-5)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

a_{n} = 4 (-5)^{n-1}

3 0
3 years ago
L'Airbus A380 consomme approximativement 15 600 litres de kérosène à
sasho [114]

Answer:

7 800 pour 1/2 heure

Step-by-step explanation:

15 600/2=7 800

7 0
2 years ago
On a snowy evening only 2/3 of the registered students in Bob's chess
OLga [1]
18 / 2 = 9 || 9 x 3 = 27. Therefore, 27 students are registered in Bob’s class.
8 0
2 years ago
Which graph represents the function over the interval [-3, 3]?<br> floor-2
murzikaleks [220]

Answer:

In mathematics, the functions of the whole part are functions that take a real number and return a whole number, either by excess or by default.

 Function floor (or ground), that to each real number assigns the nearest whole number by defect, that is to say, the greater whole number equal or smaller than that real number.

 Let's evaluate the extremes of the interval

 x = -3

 g (-3) = floor (-3) -2 = -5

 x = 3

 g (3) = floor (3) -2 = 1

 Therefore, the graph that best corresponds to the function in the given interval is the attached graph.

Step-by-step explanation:

7 0
3 years ago
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