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
NISA [10]
3 years ago
13

The expression 1/3x^2-2 can be as 1/3(x-k)(x+k),where k is a positive constant.What is the value of k?

SAT
2 answers:
Fittoniya [83]3 years ago
8 0

Answer:

The expression 1/3x^2-2 can be rewritten as 1/3(x-k)(x+k),where k is a positive constant.What is the value of k?  

-----

(1/3)x^2-2 = (1/3)(x^2 - 6) = (1/3)(x-sqrt(6)(x+sqrt(6))

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

k = sqrt(6)

Explanation:

Arte-miy333 [17]3 years ago
3 0

Answer: k = √6

Explanation: We have the equation:

(1/3)x^2 - 2

and we want to write this in the form:

(1/3)(x - k)(x +k)

k and -k are the solutions of the equation:

(1/3)x^2 - 2 = 0

wich are

+/- k = \frac{+/-\sqrt{-4*1/3*-2} }{2/3} = 3\frac{+/-\sqrt{8/3} }{2}  = +/-3*\sqrt{2/3} = +/-\sqrt{6}

so k = \sqrt{6}

and we can write the equation as:

(1/3)(x - √6)(x +√6)

You might be interested in
True or false: you cannot get a computer virus if you install antivirus software.
EleoNora [17]

Answer:

TRUE

Explanation:

Thats True because I installed it on my COMPUTER that's why ;-; and I got virus hehe im clearly a j"e"rk

AND CAN YOU HEART MY ANSWER

#AND BRAINLIEST FOLLOW ME AND ILL FOLLOW BACK......BYE....

HOW ABOUT INSTALL IT SO YOU KNOW IF IT IS CLEARLY TRUE!!

4 0
2 years ago
Jeffrey purchased a card for $180.
Triss [41]
Where’s the rest of the question? if there was more to the question i could assist you.
8 0
3 years ago
Your license will be suspended for 90 days if you accumulate ___________ A. 12 points within 12 months. B. 18 points within 18 m
earnstyle [38]
The answer is B
not too sure
7 0
3 years ago
Read 2 more answers
How would the author of Passage 1
Over [174]
You need to upload a picture or a question so somebody can help .
7 0
3 years ago
The functions $f$ and $g$ are defined as follows: \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{and}\quad g(x) = \dfrac{\sqrt{x+1}}
AlladinOne [14]

Recall that √x has a domain of x ≥ 0.

So, f(x) is defined as long as

(x + 1)/(x - 1) ≥ 0

• We have equality when x = -1

• Otherwise (x + 1)/(x - 1) is positive if both x + 1 and x - 1 are positive, or both are negative:

\begin{cases}x+1>0 \implies x>-1 \\ x-1>0 \implies x>1\end{cases} \implies x > 1

\begin{cases}x+1

Then the domain of f(x) is

x > 1   or   x ≤ -1

On the other hand, g(x) is defined by two individual square root expressions with respective domains of

• x + 1 ≥ 0   ⇒   x ≥ -1

• x - 1 ≥ 0   ⇒   x ≥ 1

but note that g(1) is undefined, so we omit it from the second domain.

Then g(x) is defined so long as both x ≥ -1 *and* x > 1 are satisfied, which means its domain is

x > 1

f(x) and g(x) have different domains, so they are not the same function.

4 0
2 years ago
Other questions:
  • What three things should study groups do to ensure they are productive?
    7·2 answers
  • Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000
    15·2 answers
  • Which term describes the ability to use different types of reasoning for different situations and analyze the possible outcomes
    12·2 answers
  • Why is a good design for a product important when a firm decides to develop a new product​
    13·1 answer
  • Free 100 points have a good day!
    14·2 answers
  • Can a 529 prepaid tuition/ college savings plan be applied to certain foreign institutions?
    14·1 answer
  • Please help!<br> What is a personal quality?
    9·1 answer
  • Which of the following statements about the x games is true.
    5·1 answer
  • In the united states the official poverty rate is the percentage of residents who brainly
    7·1 answer
  • A firm, in a perfectly competitive market, produces and sells child car seats. The sales price is $600, the fixed cost are $3,00
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!