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olchik [2.2K]
2 years ago
10

The domain of the following relation R {(6, −2), (1, 2), (−3, −4), (−3, 2)} is (1 point)

Mathematics
2 answers:
elena-s [515]2 years ago
3 0
I believe the answer is D because domain is X and it is always (X,Y) so you take the X’s of the points and put them in order least to greatest and that will be your domain for this problem hope this helps
snow_tiger [21]2 years ago
3 0
This answer would be d
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4(x + 3) + 2x in the simplest form
leonid [27]

Answer:

6x + 12

Step-by-step explanation:

Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.

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What an expression that is equivalent to 7/8​
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What is the value of |−44|?
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In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat
NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

    35x = -0.05(x² - 800x + 160000) + 9492

    35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

    35x = -0.05x² +40x - 8000 + 9492

    35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492}  }{2X0.05}   = \frac{5 +/- \sqrt{25 + 298.4}  }{0.1} =  \frac{5 +/- \sqrt{323.4}  }{0.1}\\=  \frac{5 +/- 17.983 }{0.1}\\=  \frac{5 - 17.983 }{0.1}  or  \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or  \frac{22.983 }{0.1}\\= -129.83 or 229.83

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0
3 years ago
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Chase and Emily are buying stools for their patio. They are deciding between 333 heights (table height, bar height, and XL heigh
marysya [2.9K]

Answer:

The sample space is:

  • (T,N): table height and brown
  • (T, W): table height and white
  • (T, K) : table height and black

  • (B, N): bar height and brown
  • (B, W): bar height and white
  • (B, K): bar height and black

  • (X, N): XL height and brown
  • (X, W): XL height and white
  • (W, K): XL height and black

Explanation:

The <em>sample space </em>is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.

Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,

Use letters N, W, and K to represent, respectively, the colors brown, white and black.

Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:

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  • (B, W): bar height and white
  • (B, K): bar height and black

  • (X, N): XL height and brown
  • (X, W): XL height and white
  • (W, K): XL height and black
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3 years ago
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