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3 years ago

1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points

Mathematics

1 answer:

omeli [17]3 years ago

4 0

Answer:

g-1(x)=SQRT{(x-4)/2} + 4

Step-by-step explanation:

I assume that the 2 is the exponent so ^ represents exponent

We know your function is g(x)=2(x-3)^2+4

For inverse functions we swap x and y values, note g(x) is like the y value

Isolate for y

y=2(x-3)^2+4

x=2(y-3)^2+4

(x-4)/2 = (y-3)^2

SQRT{(x-4)/2} + 4 = y

Therefore g-1(x)=SQRT{(x-4)/2} + 4

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NNADVOKAT [17]

Answer:

"Some integers are irrational numbers" False

"Some integers are not whole numbers" True

"No irrational numbers are whole numbers" True

"All rational numbers are whole numbers" False

Step-by-step explanation:

5 0

3 years ago

According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Supp

MA_775_DIABLO [31]

Answer:

A) Between 388 and 450

B) Between 357 and 481

C) Between 326 and 512

D) 99.995%

E) 72.907%

Step-by-step explanation:

We are given;

Mean; x¯ = 419 minutes

Standard deviation; σ = 31 minutes

A) From the empirical rule, 68% falls within 1 standard deviation.

Thus, it will be between;

419 - 1(31) and 419 + 1(31)

Thus gives;

Between 388 and 450

B) From the empirical rule, 95% falls within 2 standard deviation.

Thus, it will be between;

419 - 2(31) and 419 + 2(31)

Thus gives;

Between 357 and 481

C) From the empirical rule, 99.7% falls within 2 standard deviations.

Thus, it will be between;

419 - 3(31) and 419 + 3(31)

Thus;

Between 326 and 512

D)between 359 and 479 minutes, we will use z-s roe formula;

z = (479 - 359)/31

z = 3.871

From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%

E) worker spent 400 minutes on the job.

Thus;

z = (419 - 400)/31

z = 0.613

From z-tables, p = 0.72907

In percentage, we have; 72.907%

6 0

3 years ago

Kate wants to buy a scarf for $22. How much will the scarf cost if she buys it in Coconut Grove?

Sonja [21]

Elaborate more on your question! Include details that we don't know.

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3 years ago

Data show that men who are married, and also divorced or widowed men, earn quite a bit more than men the same age who have never

lozanna [386]

Answer:

Work ethic, is a lurking variable, because the work ethic i.e the number of hours worked overtime of single men is often less, while the length of breaks is often more compared to married, divorced or widowed men.

Step-by-step explanation:

In to gain a better understanding of the above answer we need to known that

Men who are married, widowed, or divorced are usually more committed both in their personal and professional lives because of the responsibility of not only taking care of them self but their family, enabling them to succeed in their careers.

4 0

3 years ago

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h

matrenka [14]

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = $\frac{opposite}{adjacent}$ = $\frac{EF}{DE}$ = $\frac{x}{55}$ ( multiply both sides by 55 )