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Sphinxa [80]
2 years ago
11

If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x) (f o g)(x)= (g o f)(x)

Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

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Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.
inn [45]

Answer:

Step-by-step explanation:

(a) MEAN = £fx/ fx (The sum of the all jerseys number/ number of jerseys)

= 680/11

= 61.8

(b) MEDIAN = The middle number when all the items are arranged either in ascending order or descending order

= 6, 14, 50, 51, 54, 68, 77, 78, 89, 94, 99

= 68

(Strike out the numbers, the middle number left is the median)

(c) MODE= (Mode implies the number with the highest frequency)

From those items, THERE IS NO MODE.

All the items (numbers) appeared once

(d) MID-RANGE:

This is the sum of the least valued number and the greatest valued number and dividee by two

Mid-range = (99 + 6) / 2

= 105/2

= 52.5

(e). The results tells us that:

The mean and median give two different interpretations of the average​ (or typical) jersey​ number, while the midrange shows the spread of possible jersey numbers

Also, pls note that the median implies the measure of the middle of the sets of jerseys number. And the mean tells us the distribution of the sets of jerseys number.

Hope this helped!

3 0
3 years ago
What is the greatest common factor of the numerator and denominator of the rational expression below? 5x-20/x^2-2x-8
OleMash [197]
Factories both equations:
5(x - 4) / (x + 2)(x - 4)

Then take out the common brackets:
5 / x + 2

Minus 2 from both sides:
3 / x

If you are looking for the greatest common factor of the numerator and denominator, the answer would be (x - 4)
8 0
3 years ago
An experiment involves flipping a coin three times.
steposvetlana [31]

Answer:

or 2/3

Step-by-step explanation:

because two flips out of 3 all together is 2/3

7 0
2 years ago
Read 2 more answers
9/17 15/34 6/17 9/34 geometric sequence?
zysi [14]
In a geometric sequence each number after the first is found by multiplying the previous number by a fixed number called the common ratio.

In an arithmetic sequence, each term is equal to the previous term plus or minus a constant called the common difference.

In your problem we have a sequence of numbers that appears to be decreasing in value, but on the surface it doesn't appear to be by any constant number... but if you look closely, the denominator 34 is exactly twice the other denominator 17. This would lead me to look at a common denominator to see if anything takes shape...

9/17 = 18/34
15/34
6/17 = 12/34
9/34

Now we see that each number is the previous number minus 3/34, so we have a common difference of 3/34.

This would match the definition of an arithmetic sequence and NOT a geometric sequence.
6 0
3 years ago
Compute: (3.5· 2/7 − 2/3 )÷16
velikii [3]

Answer:

≅ 0.02083333

Step-by-step explanation:

(3.5 * 2/7 - 2/3)÷16 = 1

48

≅ 0.02083333

1: Conversion a decimal number to a fraction: 3.5

2: Multiple: 3.5 * 2

7

= 7 · 2

2 · 7

= 14

14

= 1 · 14

1 · 14

= 1

3: Subtract:

4: Divide

<em><u>Hope this helps.</u></em>

7 0
3 years ago
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