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
kompoz [17]
2 years ago
11

Find the domain of the function f(x)=

-16x}" alt="\sqrt{x^3-16x}" align="absmiddle" class="latex-formula"> . What is the least value of x in the domain?
Least Value=
Mathematics
1 answer:
Anon25 [30]2 years ago
3 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x^3-16x}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

x^3-16x\ge 0

as x³ - 16x ≥ 0

\left(x+4\right)\left(x-4\right)\ge \:0

Thus, identifying the intervals:

-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4

Thus,

The domain of the function f(x) is:

x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}

And the Least Value of the domain is -4.

You might be interested in
The length of a rectangle is 4 units less than the width. The area of the rectangle is 21 units. What is the length, in units, o
bazaltina [42]

The formula of an area of a rectangle:

A = wl

We have l = w - 4 and A = 21.

Substitute:

w(w - 4) = 21       <em>use distributive property</em>

(w)(w) + (w)(-4) = 21

w² - 4w = 21     <em>subtract 21 from both sides</em>

w² - 4w - 21 = 0

w² - 7w + 3w - 21 = 0

w(w - 7) + 3(w - 7) = 0

(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0

w = 7 ∨ w = -3 < 0

l = w - 4 → l = 7 - 4 = 3

<h3>Answer: the length = 3 u.</h3>
4 0
3 years ago
32, 28, 21, 31, 18<br><br> Is 18 an outlier or no?
Kryger [21]

Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

4 0
3 years ago
Read 2 more answers
Select the scenario below that demonstrates sampling bias. Select the correct answer below:
Vsevolod [243]

Answer:

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

Step-by-step explanation:

Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.

'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.

Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance.  Hence, this is Sampling Bias

7 0
3 years ago
Last month Marcus borrowed $74 from his roommate so far he has paid him back $33 which equation could be used to find X the amou
weeeeeb [17]

Answer:

d

Step-by-step explanation:

since he has already paid 33 then you will have to add the x amount still need to be paid

7 0
3 years ago
Read 2 more answers
What is the equation of the line that has a slope of 3 and passes through the point (1, –2)?
lesya [120]

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

6 0
3 years ago
Other questions:
  • to rent a certain meeting room, a college charges a reservation fee of $47 and an additional fee of $9.60 per hour the chemistry
    6·1 answer
  • Can someone please explain to me how Rational Equations work
    15·1 answer
  • There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up t
    12·1 answer
  • Five less than seven times a number is the same as thirty. Find the number
    7·1 answer
  • Please help me need to revise for a testtt!!!!
    8·2 answers
  • Slope of (3,-5) and (3,2)
    14·2 answers
  • If x=2-y and y is 256 what is x
    8·1 answer
  • Equation of line k ?
    8·1 answer
  • PLS HELPP ITS A TEST!!! I WILL GIVE BRAINLIEST!!!
    15·2 answers
  • Hallar la altura(h) de un triángulo que tiene una base 12 metros y un área de 96
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!