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3 years ago

Rewrite the equation y=2|x−2|+4 as two linear functions f and g with restricted domains.

Mathematics

2 answers:

Olegator [25]3 years ago

8 0

Answer:

f(x) = -2x + 8, x < 2

g(x) = 2x, x 》2

Step-by-step explanation:

|x - 2| is:

x - 2, for x 》2

-x + 2, for x < 2

For x < 2,

f(x) = 2(-x + 2) + 4

f(x) = -2x + 8

For x 》2,

g(x) = 2(x - 2) + 4

g(x) = 2x

alexandr1967 [171]3 years ago

8 0

Answer:

f(x) = -2x + 8, x < 2

g(x) = 2x, x 》2

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Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,... (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

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2 years ago

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maria [59]

Answer:

Step-by-step explanation:

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3 years ago

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Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan

Sav [38]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

Since, 1 feet = 12 inches

Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches

Width of the sign = 2 feet = 2(12) inches = 24 inches

Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

= $\frac{1}{3}$

This shows, the length of flyer is $\frac{1}{3}$ times as that of the sign. So, the scale factor that Darius must use is $\frac{1}{3}$ . The length and width of the flyer are $\frac{1}{3}$ as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

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= 8 : 24

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Therefore, Darius must type the scale factor of $\frac{1}{3}$ in his computer to get the size of the flyer.

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