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Dmitrij [34]
2 years ago
15

The product of a number and 3 more than twice the number is 275. Find the number.

Mathematics
1 answer:
Gnom [1K]2 years ago
5 0

Answer:

55

Step-by-step explanation:

if you do 3 times a number, 3x and twice more, 2x , that would be 5x divided by 275 which would be 55.

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Which equation is the inverse of y = 9x2 – 4? y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction y = plu
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Option C: y=\pm\frac{\sqrt{x+4}}{3} is the inverse of the function

Explanation:

The given function is y=9 x^{2}-4

We need to determine the inverse of the function.

To determine the inverse of the function, we need to interchange the values of x and y and solve for y.

Let us interchange the variables x and y in the function y=9 x^{2}-4, we have,

x=9 y^{2}-4

Adding both sides of the equation by 4, we have,

x+4=9 y^{2}

Dividing both sides of the equation by 9, we have,

\frac{x+4}{9} =y^2

Switch sides, we have,

y^2=\frac{x+4}{9}

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y=\pm\frac{\sqrt{x+4}}{3}

Thus, the inverse of the function is y=\pm\frac{\sqrt{x+4}}{3}

Therefore, Option C is the correct answer.

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Answer:

0.536 is the required probability.

Step-by-step explanation:

 We have been given the word the word "GEOMETRY"

we have to find the probability that two consonants and one vowel are chosen:

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Hence, The required probability is: \frac{^5C_2\cdot ^3C_1}{^8C_3}

Using: ^nC_r=\frac{n!}{(r!)(n-r)!}

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Simplifying the above expression:

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Further simplification after cancelling out the common terms we get:

\Rightarrow \frac{30}{56}=\frac{15}{28}=0.5357=0.536

Hence, Option 1 is correct.


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