1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scilla [17]
3 years ago
8

Determine the domain of the function h=9x/x(x^2-49)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

ANSWER

( -  \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , +   \infty )

EXPLANATION

The given function is

h(x) =  \frac{9x}{x( {x}^{2} - 49) }

This function is defined for values where the denominator is not equal to zero.

x( {x}^{2}  - 49) \ne0

x(x - 7)(x + 7) = 0

The domain is

x \ne - 7, x \ne0, \: and \:  x \ne 7,

Or

( -  \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , +   \infty )

You might be interested in
A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). If x liters of pure
makvit [3.9K]

Answer:

There should be 125 litters of pure peroxide added to produce a new product that is 28% peroxide.

Step-by-step explanation:

The problem provides us with an equation we can use to find the concentration C of the new mixture, which is:

C=\frac{x+0.1(500)}{x+500}

which will give us the concentration C as a decimal number.

We are interested in getting a concentration of 28%, which is written as 0.28 in decimal form. This is our C.

Now we can substitute it into the equation:

0.28=\frac{x+0.1(500)}{x+500}

and now we can solve for x. We can start by multiplying both sides of the equation by (x+500) so we get:

0.28(x+500)=x+0.1(500)

Next, we can distribute dhe 0.28 on the left of the equation and we can also multiply the 0.1(500) on the right side, so we get:

0.28x+140=x+50

so now we can subtract an x from both sides so we get:

0.28-x+140=x-x+50

which yields:

-0.72x+140=50

Now, we can subtract a 140 from both sides, so we get:

-0.72x+140-140=50-140

Which yields:

-0.72x=-90

and finally we can divide both sides into -0.72 so we get:

\frac{-0.72x}{-0.72}=\frac{-90}{-0.72}

x=125lt

So we need to add 125 litters of pure peroxide to produce a new product that is 28% peroxide.

6 0
3 years ago
Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each g
AlladinOne [14]

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()

4 0
2 years ago
The diagnosis of a square are a.perpendicular
makkiz [27]

Answer

The correct answer is B

Step-by-step explanation:

It is B because squares don't intersect so it cant be a

They are always congruent and equal so not c or d it has to be B

6 0
3 years ago
A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is
Citrus2011 [14]
We essentially have a ratio here:
\frac{shadow}{actual}

Since we know the ratio is going to stay constant at \frac{5}{6}, we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20:
\frac{5}{6}=\frac{20}{h}
5h=120
h=24
5 0
3 years ago
I need help please thank you
jonny [76]
The answr is A sorry if wrong
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which word is used to describe a "negative number" in a situation?
    9·1 answer
  • Which point is the graph of the ordered pair (–2, 4)?
    9·2 answers
  • M<br> A. not enough information<br> B. 70<br> C. 42<br> D. 38.5
    11·2 answers
  • A commercial building contractor is trying to decide which of two projects to commit her company to. Project A will yield a prof
    7·1 answer
  • Anyone know how to do these?
    5·1 answer
  • Anyone please help me
    7·1 answer
  • What is the equation of the volume of a sphere
    6·1 answer
  • WILL GIVE BRAINLIEST
    14·1 answer
  • I need help with this if you get it right I will mark you
    13·1 answer
  • A square has a are of 36 what is the biggest circle that can fit inside
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!