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aivan3 [116]
3 years ago
12

!!WILL MARK BRAINLIEST!!! please provide a small explanation with it too

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

(-2, 7); (See attachment)

Step-by-step explanation:

x + 2y = 12

7x + 2y = 0

x + 2y = 12

x = -2y + 12

Solve for y:

7x + 2y = 0

7 (-2y + 12) + 2y = 0

-12y + 84 = 0

-12y = -84

y = 7

Solve for x:

x = -2y + 12

x = -2 (7) + 12

x = -2

x = -2, y = 7

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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
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Plzz help!!!!<br><br> Which set of ordered pairs corresponds to the graph?
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Answer:

Option 3rd is correct

Step-by-step explanation:

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5 0
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The function (t) = 300,000t represents the distance (in kilometers) that light travels in t seconds
Anika [276]

Answer:

The answer is: 4,500,000 kilometers or in scientific notation: 4.5 x 10^6 kilometers.

Step-by-step explanation:

Multiply to get the answer:

300,000 * 15 =

4,500,000 km

In scientific notation: 4.5 x 10^6

4 0
3 years ago
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DIA [1.3K]
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3 0
2 years ago
The brain volumes ​(cm cubed​) of 20 brains have a mean of 1162.8 cm cubed and a standard deviation of 127.1 cm cubed. Use the g
Free_Kalibri [48]

Answer:

- The limits are  908.6 cm^3 and 1417cm^3

- 1337.0cm^3 is in between the limits

Step-by-step explanation:

To determine the limit by taking into account the range rule of thumb, you use the fact that the limits are given by the mean plus and minus twice the standard deviation, that is:

\overline{x}\pm 2\sigma        (1)

\overline{x}: mean of brain volume = 1162.8 cm^3

σ: standard deviation = 127.1 cm^3

You replace the values of the parameters in the equation (1):

1162.8cm^3+2(127.1cm^3)=1417cm^3\\\\1162.8cm^3-2(127.1cm^3)=908.6cm^3

Limits = (1417 , 908.6)

The limits are  908.6 cm^3 and 1417cm^3

1337.0cm^3 is in between the limits calculated above.

5 0
3 years ago
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