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2 years ago

For the function find f-1(x)

Mathematics

1 answer:

PolarNik [594]2 years ago

3 0

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solve for "y".

$\stackrel{f(x)}{y}=\sqrt[3]{x^5-3}\implies \stackrel{\textit{quik switcheroo}}{x = \sqrt[3]{y^5-3}}\implies \stackrel{\textit{cubing both sides}}{x^3=y^5-3} \\\\\\ x^3+3=y^5\implies \sqrt[5]{x^3+3}=\stackrel{f^{-1}(x)}{y}$

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A conjunction is a statement formed by combining two statements with the word ____. and together with or

Verizon [17]

Answer:

and

Step-by-step explanation:

A conjunction is formed when two statements join with the connector <u>and.</u>

The symbol used for a conjunction is:

∧

to mean AND.

For example, when you have two statements :

p : It will rain today.

q : I will fetch water.

You can connect the statements to form a compound statement :

It will rain today and i will fetch water. ( p ∧ q ).

3 0

4 years ago

I REALLY NEED HELP ON THIS PLS HELP

Eva8 [605]

Part (a)

Answer: See the attached image below to see the filled out chart.

Note how rational and irrational numbers have nothing in common. This means there is no overlap. So they go in the rectangles. The two sets of numbers join up to form the entire set of real numbers.

Integers are in the set of rational numbers. This is because something like 7 is also 7/1; however 1/7 is not an integer. So not all rational numbers are integers. The larger purple circle is the set of integers.

The smaller blue circle is the set of whole numbers. The set of whole numbers is a subset of integers. Recall the set of whole numbers is {0,1,2,3,...} so we ignore the negative values only focusing on 0 and positive numbers that don't have any fractional values. In contrast, the set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} here we do include the negatives.

============================================================

Part (b)

1) Some irrational numbers are integers.

This is false. An irrational number is not rational. The set of integers is contained entirely in the set of rational numbers.

---------------------------------

2) Some whole numbers are not irrational numbers.

This is false. The statement implies that some whole numbers are irrational, but the set of whole numbers is inside the set of rational numbers, which has no overlap with the irrationals. The statement should be "All whole numbers are not irrational numbers".

---------------------------------

3) All rational numbers are whole numbers.

This is false. A rational number like 1/3 is not a whole number.

---------------------------------

4) All integers are whole numbers

This is false. An integer like -44 is not a whole number because the set of whole numbers is {0,1,2,3,...} and we're not including negative values.

---------------------------------

In summary, all four statements for part (b) are false.

8 0

3 years ago

Read 2 more answers

Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a we

expeople1 [14]

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

4 0

3 years ago

Undecillion how many 0s.

Irina-Kira [14]

Answer:

<u>Undecillion</u> has 36 0's

$\sf{\#FromThePhilippines}$

8 0

3 years ago

Pls help with stats

aleksklad [387]

Answers:

Exactly 25%
median = 450
Not enough info (see below)
IQR = 24
IQR = 192

=========================================================

Explanations:

By definition, the quartiles split the data into four equal parts. The first quartile (Q1) will have 25% of the data below it.
The second quartile is the exact same value as the median. This is because the median splits the data into two equal halves, i.e. is at the midpoint.
There's not enough info. We can determine that 25% of the company makes more than $60,000, but we don't know how many people total work at the company. This info is missing.
Subtract the third and first quartiles (Q3 and Q1) to get the interquartile range (IQR). So IQR = Q3 - Q1 = 45-21 = 24
Same idea as the previous problem. IQR = Q3 - Q1 = 316.5 - 124.5 = 192

3 0

3 years ago