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3 years ago

What are the excluded values of the function? y=2/(x^2-4)

Mathematics

1 answer:

Tresset [83]3 years ago

3 0

Excluded values are any values of x that make the denominator equal zero. In this case, -2 and 2 are excluded values.

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Find the inverse function. f(x) = x - 5

vesna_86 [32]

Answer:

f^-1 (x) = x^2 + 5

Step-by-step explanation:

f(x) = √x - 5

replace x with y

x= √y - 5

solve for y,

x =√y-5

x^2 + 5

Answer -

f^-1(x) = x^2 + 5

HOPES THIS HELPS :)

7 0

2 years ago

Simplify 2x2 - y for x = 3 and y = -2. 10 16 20 14

RoseWind [281]

Answer:

Step-by-step explanation:

Given

2x² - y ← substitute x = 3 and y = - 2 into the expression

= 2(3)² - (- 2)

= 2(9) + 2

= 18 + 2

= 20

6 0

3 years ago

Read 2 more answers

96743 divided by 25 im at school in person so uh ya lol

mash [69]

Answer:

3,869.72

Step-by-step explanation:

5 0

3 years ago

Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18-31) stll live at home wit

Lera25 [3.4K]

Answer:

$\mathbf{The \ sample \ comes \ from \ a \ population \ of \ Millennial \ students }$ $\mathbf{at \ their \ campus\ where \ 3 6\%\ still\ live\ at\ home\ with\ their \ parents}$

Step-by-step explanation:

From the given information.

The proportion of American Millennials still with their parents = 0.36

The sample size = 300

Sample proportion = 0.43

Level of significance = 0.006

P-value = 0.006

Null hypothesis:

$\mathbf{H_o: Of \ Millennial \ students \ at \ their \ campus, \ 36\% \ }$ $\mathbf{ live \ at \ some \ with \ their \ parents . }$

$\mathbf{H_a: More \ than \ 36\% \ of \ Millennial \ students \ at \ their \ campus \ live \ at \ home }$ $\mathbf{ \ with \ their \ parents}$

The required task is to determine the assumption about the sample that underlies the hypothesis test from the given options.

$\mathbf{The \ sample \ comes \ from \ a \ population \ of \ Millennial \ students }$ $\mathbf{at \ their \ campus\ where \ 3 6\%\ still\ live\ at\ home\ with\ their \ parents}$

This is because the student wants to check if the null hypothesis ( which states that of Millennial students at their campus, 36% live at home with their parents) is correct or not.

7 0

3 years ago

The data shown represent the number of runs made each year during Bill Mazeroski’s career. Check for normality.

const2013 [10]

Answer:

The given data is not normal.

Step-by-step explanation:

We are given the following data:

30, 59, 69, 50, 58, 71, 55, 43, 3, 66, 52, 56, 62, 36, 13, 29, 17, 31

Condition for normality:

Mean = Mode = Median

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{800}{18} = 44.44$

Mode is the most frequent observation of the data.

Since all the value appeared once, there is no mode.

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 3, 13, 17, 29, 30, 31, 36, 43, 50, 52, 55, 56, 58, 59, 62, 66, 69, 71

Median =

$=\dfrac{9^{th}+10^{th}}{2} = \dfrac{50+52}{2}=51$

Since the mean, mode and median of data are not equal, the data is not normal.

7 0

3 years ago