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
Timelines show a. The order of events c. Why an event may have taken place b. An event’s place in history d. All of these Please
kondor19780726 [428]

Answer:

d. All of these

Explanation:

A timeline can be defined as a graphical representation of a series of important events in order in which they have occurred i.e in a chronological or sequential order. Thus, a timeline shows the order of events from top to bottom or left to right, starting with the earliest and moving forward to the most recent (latest).

Generally, a timeline is typically considered to be a cause and effect graphic organizer due to the fact that it illustrates events in a chronological or sequential order, their place in history, and how these events are interrelated or led to another.

This ultimately implies that, timelines show;

a. The order of events.

b. An event’s place in history.

c. Why an event may have taken place.

<em>For example, a timeline can be used to show the order in which the various battles fought during the American Revolutionary War occurred. </em>

3 0
2 years ago
Read 2 more answers
i have long seminar about good techars.I don't know where to start, please help and how to ask some questions about good teacher
Alex17521 [72]

Answer:

a good techer isnt forceful.

Explanation:

ive had teachers that made me read a book. and I ended up not reading books anymore. but recently I had a teacher let me pick a book i liked and then i had to explain it. I found a new love for reading.

4 0
2 years ago
John bought 15 pines for $3500
Shalnov [3]

Answer:

Explanation:

If John needs to ensure a 40% profit, John needs to sell the pines at a price that would give 40% more money back than he spent.

Since John needs to make back all of the money he spent, plus another 40%, John needs to get back 140% of what he spent.

140\% = 1.40

John spent $3500.

140% of $3500 is $4900.

So, John must bring in $4900 (revenue) selling all 15 pines to achieve a 40% profit.

However, the question asks for the price of a single pine.  To find the unit price of a single pine, divide the total revenue by 15.

\frac{\$4900}{15pines}=\frac{\$326.\bar{6}}{pine}=\$326.66 \text{ per pine}

6 0
1 year ago
The probabilities that a patient will have blood drawn 0, 1, 2, or 3 times in a visit are
cestrela7 [59]

Answer:

0, or 1

Explanation:

Depends on if you asked for your blood type, which they will HAVE to draw your blood. Otherwise, any regular visit to the doctor will not require to draw your blood if it's a checkup. Though for certain visits/testing blood may be required to get drawn once- unless there is a problem during the drawing process. Hope this helped!

5 0
2 years ago
Read 2 more answers
I agree that, __, sophie’s experiences last winter were beneficial to her development.
Vitek1552 [10]

The correct statement is I agree that, altogether, sophie's experience last winter were beneficial to her development.

<h3>What is complete sentences?</h3>

A complete sentences serves as a set of words which is formed and it is typically containing a subject as well as  predicate.

Therefore, I agree that, altogether, sophie's experience last winter were beneficial to her development is correct.

Learn more about sentence at:

brainly.com/question/7974113

5 0
2 years ago
Other questions:
  • What is the "brains" of the computer?
    15·2 answers
  • 1. Miss White, Miss Black, and Miss Gray are on a day trip together. One is dressed in white, one in black, and one in gray. "Is
    9·1 answer
  • Help ndndndnnmdd dnndd
    8·1 answer
  • What you think should be the teaching approach to tourism in africa?​
    7·1 answer
  • How many cattle raising regions are there in the U.S.
    15·2 answers
  • How doe human pet cat
    15·2 answers
  • B b b b b g g g. Gg g. B b b b b g g ghshussuhsbus
    7·2 answers
  • Cora is playing a game that involves flipping three coins at once.
    7·1 answer
  • Magnesium reacts with oxygen gas to form magnesium oxide.
    14·1 answer
  • A researcher determines an organism to be eukaryotic, unicellular, and autotrophic. In which taxonomic group should this organis
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!