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3 years ago

Which of the following mathematical operations can be used with functions? Select all that apply.

Mathematics

1 answer:

Nuetrik [128]3 years ago

8 0

For this case, suppose that we have the following functions:

f (x)

g (x)

The following operations are valid in the functions:

Sum of functions:

h (x) = f (x) + g (x)

Subtraction of functions:

h (x) = f (x) -g (x)

Multiplication of functions:

h (x) = f (x) * g (x)

Division of functions:

h (x) = f (x) / g (x)

Composition of functions:

h (x) = f (g (x))

or equivalently:

h (x) = g (f (x))

Therefore, all the mentioned operations are valid for the functions.

Answer:

the following mathematical operations can be used with functions:

A) Addition

B) Subtraction

C) Multiplication

D) Division

E) Composition

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Y = x² - 4x convert from standard to vertex form

Pepsi [2]

Answer:

$y = (x-2)^{2} -4$

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so $2^{2}$

$y + ? = x^{2} - 4x + ?$

$y + 2^{2} = x^{2} - 4x + 2^{2}$

$y + 4 = x^{2} - 4x + 4$

Now we can factor the expression

$y + 4 = (x-2)^{2}$

Move the 4 to the other side to isolate y which changes the sign

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2 years ago

Explain the difference between an interval estimator and a point estimator for mu. Choose the correct answer below. A. A single

inna [77]

Answer: D. A single number calculated from the sample that estimates a target population parameter is called a point estimator.

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Step-by-step explanation:

When we evaluate an range of values for an unknown population parameter, then it is known as interval estimation .

A single number evaluated from the SAMPLE that estimates an unknown population parameter is known as a point estimator.

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3 years ago

I need the answer fast

Fantom [35]

Answer:

B. What was the highest temperature this month?

Step-by-step explanation:

Rory is recording the highest temperature for the duration of the day for month's worth of data.

B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.

A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.

C. is the opposite of what Rory had recorded, and without data, he cannot answer it.

D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.

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Answer:

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Step-by-step explanation:

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a = 5

r = 4

n = 6

sum of a geometric series is a(r^n - 1)/(r - 1)

therefore,

sum of the series is 5 x (4^6 - 1) / (4 - 1)

= 5 x (4096 - 1) / 3

= 5 x 4095 / 3

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3 years ago

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Vladimir [108]

Answer:10

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