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3 years ago

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Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution. x = 0, solution i

s extraneous x = 0, solution is not extraneous x = 12, solution is extraneous x = 12, solution is not extraneous

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

square root of 81

square root of 1000

square root of 34

square root of 169

Step-by-step explanation:

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Describe the graph of y=1/2x-10 -3 comapred to the graph of y= 1/x

saw5 [17]

The parent function is:

$$y=\frac{1}{x}$

The transformed function is:

$$y=\frac{1}{2 x-10}-3$

$$y=\frac{1}{2(x-5)}-3$

$$y=\frac{1}{2}\left(\frac{1}{x-5}\right)-3$

Comparison of simplified transformed function with the parent function:

The function multiplying by a number indicates dilation.
The function is being compressed in vertical direction by a factor of 2 if the number lies between 0 and 1.
Subtracting a number from x indicates a horizontal shift towards right.
That is the parent function is transformed 5 units to right.
Subtracting a number from the function indicates a downward shift.
That is the parent function is transformed 3 units down.

Hence the graph of $y=\frac{1}{2 x-10}-3$ is the graph of $y=\frac{1}{x}$ stretched vertically, shifted right by 10 unit and shifted 3 unit down.

The image of the graph is attached below.

7 0

2 years ago

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055$

0.055 = 5.5% probability that exactly 5 employees were over 50.

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2 years ago

Identify the factors of the terms of the expression of 13m-2n

Alex Ar [27]

Hi it is 7n I hope I was right

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3 years ago

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puteri [66]

You’re right, it’s just 100/25.

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3 years ago

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−1, 2). What is the length of Side

Molodets [167]

Answer:

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Step-by-step explanation:

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3 years ago