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
vovangra [49]
2 years ago
7

Give the domain and range of the relation (10,-3),(12,3),(-8,-7),(6,-1)

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

Domain: {10, 12, -8, 6}

Range: {-3, 3, -7, -1}

There is one value of <em>y</em><em> </em>for every value of <em>x</em>.

This relation is a function.

You might be interested in
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
Tju [1.3M]

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

5 0
2 years ago
The perimeter of the rectangle she below is 24feet
maxonik [38]
This is really obvious but the answer is 4 feet.
6 0
3 years ago
Car A has an initial value of 30,000 and depreciates at a rate of 20% per year. Car B has an initial value of 20,000 and depreci
Doss [256]

Answer:

The value of Car B will become greater than the value of car A during the fifth year.

Step-by-step explanation:

Note: See the attached excel file for calculation of beginning and ending values of Cars A and B.

In the attached excel file, the following are used:

Annual Depreciation expense of Car A = Initial value of Car A * Depreciates rate of Car A = 30,000 * 20% = 6,000

Annual Depreciation expense of Car B from Year 1 to Year 6 = Initial value of Car B * Depreciates rate of Car B = 20,000 * 15% = 3,000

Annual Depreciation expense of Car B in Year 7 =  Beginning value of Car B in Year 7 = 2,000

Conclusion

Since the 8,000 Beginning value of Car B in Year 5 is greater than the 6,000 Beginning value of Car A in Year 5, it therefore implies that the value Car B becomes greater than the value of car A during the fifth year.

Download xlsx
4 0
2 years ago
Read 2 more answers
segment CD has endpoints at C(0, 3) and D(0, 7). If the segment is dilated by a factor of 3 about point C, what is the length of
zalisa [80]

The length of CD is 7-3=4.

Therefore, if we dilate by a scale factor of 3, the length is 4(3) = 12

5 0
2 years ago
38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
lina2011 [118]

It looks like the integral is

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy

where <em>C</em> is the circle of radius 2 centered at the origin.

You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy

where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: -2\times \pi\times2^2 = -8\pi.

3 0
2 years ago
Other questions:
  • please help: Elaine takes 7 min to ride 18 blocks. what is her unit rate. how long should it take her to go 50 blocks???
    15·1 answer
  • What volume of water at 4°c can be held in a cube whose edge is 3.0 cm long?
    8·1 answer
  • PLZZ HELP ASAP The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
    8·1 answer
  • Georgia is reading at a rate of 2 pages everything 5 minutes. Which graph below shows the same unite rate?
    10·2 answers
  • Giving out the brainlest answer !!! help plsss ASAP !!!!!!!
    9·1 answer
  • PLEASEEE HELPPP!!! what is the value of x?
    7·2 answers
  • Help me with math pls 20 pints show work !
    8·1 answer
  • In the diagram below, overline AE cong overline BE overline DE cong overline DC and m angle D=32^ . Find m angle A .
    13·1 answer
  • Find m∠U.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.
    8·1 answer
  • Use the Distributive Property to expand (−2x−7)4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!