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Leya [2.2K]
2 years ago
6

Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?

Mathematics
2 answers:
mario62 [17]2 years ago
7 0

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

(x - 4)^{2} - \frac{2}{3} = 6y - 12

We can rearrange the function as

(x - 4)^{2} - \frac{2}{3} = 6y - 12

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ (x - 4)^{2} = 6y - \frac{34}{3}

⇒ x - 4 = \pm \sqrt{6y - \frac{34}{3}}

⇒ x = 4 \pm \sqrt{6y - \frac{34}{3}}

Therefore, the inverse function will be, y = 4 \pm \sqrt{6x - \frac{34}{3}}

Therefore, the correct option is option B. (Answer)

stepan [7]2 years ago
7 0

Answer:

EDGE 2020 IS B :)

Step-by-step explanation:

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Here is how you do it....
You will subtract 500 minus 225 to get the number of tails. The number of tails is 275.
Now, you know your ratio is 225:500. All you need to do is simplify it.
225 divided by 25 is 9 and 500 divided by 25 is 20.
Now, the ratio that you have is 9:20.
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2 years ago
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A dealer bought 3 gross buttons at $.38 a dozen. He sold the buttons at 5 cents each. How much was his profit per gross?(12 doze
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Answer:

$2.64

Step-by-step explanation:

Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for

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2 years ago
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Write the expanded form of 4(1/4a+b-6)
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The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin
tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950e^{0.45t}

a) rate of growth is

Bacteria growth model N(t) = noe^{rt}

Where r is the growth rate

hence r = 0.45

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b) Initial population of culture at t = 0

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6 0
2 years ago
Playing tennis burns energy at a rate of about 25 kJ/min. Cycling burns energy at about 35kJ/min. Hans exercised by playing tenn
grigory [225]
To answer this, you need to make a systems of equations.

25x + 35y = 1450
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He played tennis for 30min


8 0
2 years ago
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