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3 years ago

What is the domain of the function? y= sqrt 5x-10

Mathematics

1 answer:

Andrews [41]3 years ago

8 0

I don't know if this will help but I found this on YAHOO!

Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.

Step-by-step explanation:

f(x) = sqrt (5x-10)

Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.

therefore the domain of the function f(x) is (2, infinity) inclusive of 2.

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Which term is any number that can be shown as the quotient of two integers

asambeis [7]

This is the definition of a rational number.

5 0

3 years ago

An English teacher needs to pick 1111 books to put on his reading list for the next school year. He has narrowed down his choice

forsale [732]

Answer:

There are 3,659,040 ways he can choose the books to put on the list.

Step-by-step explanation:

There are

12 novels

8 plays

12 nonfiction.

He wants to include

5 novels

4 plays

2 nonfiction

The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.

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

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

How many ways can he choose the books to put on the list?

Novels:

5 from a set of 12. So

$C_{12,5} = \frac{12!}{5!7!} = 792$

Plays:

4 from a set of 8. So

$C_{8,4} = \frac{8!}{4!4!} = 70$

Nonfiction:

2 from a set of 12

$C_{12,2} = \frac{12!}{2!10!} = 66$

Total:

Multiplication of novels, plays and nonfiction.

$T = 792*70*66 = 3,659,040$

There are 3,659,040 ways he can choose the books to put on the list.

4 0

3 years ago

Which best describes the centroid of a triangle?

aivan3 [116]

Answer:

Option: B is the correct option:

B. The point where the three medians of the triangle intersect

Step-by-step explanation:

We know that the centroid of a triangle is the point where the three medians of the triangle intersect.

<em>The centroid of a triangle is also known as the center of gravity of the triangle.</em>

The median of a triangle is a line segment that is drawn form a vertex of a triangle such that it meets the opposite site of the triangle at the mid-point.