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Vedmedyk [2.9K]
3 years ago
14

What is the domain of -3x^(1/3)+4x^(1/2)

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
The domain of the function would be [0, ∞)

This is because of the x^(1/2);  this is the same as the square root of x. Remember:  if x is under the square root, then x can't be negative because negatives do not have square roots.  X can be 0, because the square root of 0 is 0, and of course it can be positive.  So, x can be anywhere from 0 to infinity including 0.
You might be interested in
There are 7 acts in a talent show.
lara31 [8.8K]

Answer:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

          C(m,n)=\dfrac{m!}{n!(m-n)!}

         C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

           P(A)=1/35

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

           P(m,n)=\dfrac{m!}{(m-n)!}

         P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

            P(B)=1/840

7 0
3 years ago
Please help What is the domain of the following function?
enot [183]

Answer:

Let's use these two sets given to explain what is the domain.

Each value from the left set is x, and from the right is f(x).

If we plug any x from the left set in the function, we'll get f(x)  that corresponds to it and that's exactly what the arrows are showing.

Domain of the function is, basically, a set of all values x can have.

In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.

8 0
3 years ago
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the ha
Lana71 [14]

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

5 0
3 years ago
CDs cost $2.04 more than DVDs at All Bets are Off Electronics.
Alex17521 [72]
$147.68 is the awnser too this one
7 0
3 years ago
What is another way to write 54 ?
Luba_88 [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
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