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
Sedaia [141]
2 years ago
11

Find the domain and range of the relation.

Mathematics
1 answer:
Kisachek [45]2 years ago
8 0

the answer is in the picture above

You might be interested in
PLEASE ANSWER!!! <br> You don’t have to do number 25 *****
Ilia_Sergeevich [38]

Answer:

see explanation

Step-by-step explanation:

The directed lines have the form < x, y >

With the usual notation

right in x- direction → +

left in x- direction → -

up in y- direction → +

down in y- direction → -

21

EF = < 4, 1 >

22

FG = < 4, - 2 >

23

GH = < - 4, - 2 >

24

EH = < 4, - 3 >

8 0
2 years ago
What is the symbol for 1.020____1.200<br> A:&lt;<br> B:&gt;<br> C:=
slega [8]

Answer:

A

Step-by-step explanation:

1.020 is less than 1.200

5 0
3 years ago
A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop
Lunna [17]

Answer

If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45

7 0
2 years ago
⦁ Find the distance between the two numbers
liraira [26]

-12, 19=31

-2,-7=5

25,-1=26

8 0
3 years ago
Lim x-&gt; vô cùng ((căn bậc ba 3 (3x^3+3x^2+x-1)) -(căn bậc 3 (3x^3-x^2+1)))
NNADVOKAT [17]

I believe the given limit is

\displaystyle \lim_{x\to\infty} \bigg(\sqrt[3]{3x^3+3x^2+x-1} - \sqrt[3]{3x^3-x^2+1}\bigg)

Let

a = 3x^3+3x^2+x-1 \text{ and }b = 3x^3-x^2+1

Now rewrite the expression as a difference of cubes:

a^{1/3}-b^{1/3} = \dfrac{\left(a^{1/3}-b^{1/3}\right)\left(a^{2/3}+a^{1/3}b^{1/3}+b^{2/3}\right)}{\left(a^{2/3}+a^{1/3}b^{1/3}+b^{2/3}\right)} \\\\ = \dfrac{a-b}{a^{2/3}+a^{1/3}b^{1/3}+b^{2/3}}

Then

a-b = (3x^3+3x^2+x-1) - (3x^3-x^2+1) \\\\ = 4x^2+x-2

The limit is then equivalent to

\displaystyle \lim_{x\to\infty} \frac{4x^2+x-2}{a^{2/3}+(ab)^{1/3}+b^{2/3}}

From each remaining cube root expression, remove the cubic terms:

a^{2/3} = \left(3x^3+3x^2+x-1\right)^{2/3} \\\\ = \left(x^3\right)^{2/3} \left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3} \\\\ = x^2 \left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3}

(ab)^{1/3} = \left((3x^3+3x^2+x-1)(3x^3-x^2+1)\right)^{1/3} \\\\ = \left(\left(x^3\right)^{1/3}\right)^2 \left(\left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1x\right)\left(3-\dfrac1x+\dfrac1{x^3}\right)\right)^{1/3} \\\\ = x^2 \left(9+\dfrac6x-\dfrac1{x^3}+\dfrac4{x^4}+\dfrac1{x^5}-\dfrac1{x^6}\right)^{1/3}

b^{2/3} = \left(3x^3-x^2+1\right)^{2/3} \\\\ = \left(x^3\right)^{2/3} \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3} \\\\ = x^2 \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3}

Now that we see each term in the denominator has a factor of <em>x</em> ², we can eliminate it :

\displaystyle \lim_{x\to\infty} \frac{4x^2+x-2}{a^{2/3}+(ab)^{1/3}+b^{2/3}} \\\\ = \lim_{x\to\infty} \frac{4x^2+x-2}{x^2 \left(\left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3} + \left(9+\dfrac6x-\dfrac1{x^3}+\dfrac4{x^4}+\dfrac1{x^5}-\dfrac1{x^6}\right)^{1/3} + \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3}\right)}

=\displaystyle \lim_{x\to\infty} \frac{4+\dfrac1x-\dfrac2{x^2}}{\left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3} + \left(9+\dfrac6x-\dfrac1{x^3}+\dfrac4{x^4}+\dfrac1{x^5}-\dfrac1{x^6}\right)^{1/3} + \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3}}

As <em>x</em> goes to infinity, each of the 1/<em>x</em> ⁿ terms converge to 0, leaving us with the overall limit,

\displaystyle \frac{4+0-0}{(3+0+0-0)^{2/3} + (9+0-0+0+0-0)^{1/3} + (3-0+0)^{2/3}} \\\\ = \frac{4}{3^{2/3}+(3^2)^{1/3}+3^{2/3}} \\\\ = \frac{4}{3\cdot 3^{2/3}} = \boxed{\frac{4}{3^{5/3}}}

8 0
3 years ago
Other questions:
  • The product of 3 consecutive odd numbers is 3,315. Enter a simplified expression for finding the numbers. Let n be the first odd
    7·1 answer
  • A building is 200ft long and 140 ft wide a 1/500 model is built of the building how long and how wide is the model?
    10·1 answer
  • if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr
    15·1 answer
  • Find the position function of a particle moving along a coordinate line that satisfies the given conditions. 2sint-cost
    12·1 answer
  • Help please can’t find answers anywhere
    5·2 answers
  • Ndelaria estimates that the drama club sold 400 tickets to the school play. The
    9·1 answer
  • Help with this please​
    9·1 answer
  • Complete the table. Will choose brainliest.
    15·1 answer
  • Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
    7·2 answers
  • Brainliest! Please help me
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!