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Sergeeva-Olga [200]
3 years ago
5

The table below shows the function f.

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here the closed interval is [ 3, 7 ]

f(b) = f(7) = \frac{47}{6}

f(a) = f(3) = \frac{17}{2}

f(7) - f(3) = \frac{47}{6} - \frac{17}{2} = - \frac{2}{3}

Thus

\frac{-\frac{2}{3} }{7-3}

= \frac{-\frac{2}{3} }{4}

= - \frac{2}{3} × \frac{1}{4} = - \frac{1}{6}

Average rate of change = - \frac{1}{6} → C

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Eva8 [605]

Answer:

initial value=2

rate of change=1

Step-by-step explanation:

rate of change=(3-2)/(1-0)=1

7 0
3 years ago
When I double my number, subtract three, subtract my number, and add four, I get my number plus two. What is my number?
marishachu [46]

Answer:

Any real number

Step-by-step explanation:

Let your no.= x

double the number=2x

add 4 = 2x+4

subtract same number=2x+4-x

subtract 3=2x+4-x-3

get number plus 1=x+1

 

so equation we get

2x+4-x-3=x+1

x+1=x+1

 

x=x

 

it means  x is equal to all real number

So your number can be any real number

7 0
3 years ago
What expression simplifies to 2i ? help asap lots of points
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

First, consider the following expression.

(6x + 8) + (4x + 2)

To simplify this expression, you combine the like terms, 6x and 4x. These are like terms because they have the same variable with the same exponents. Similarly, 8 and 2 are like terms because they are both constants, with no variables.

(6x + 8) + (4x + 2) = 10x + 10

5 0
2 years ago
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4.06 Question 6
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Answer:

If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is

2x + 3y < 60

Step-by-step explanation:

5 0
2 years ago
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The National Academies of Sciences Engineering, and Medicine
snow_tiger [21]

<em>Greetings from Brasil...</em>

According to the annex, we note that

1 qt = 1 quart = 0.95L

To solve this problem, just apply some rules of 3.....

1st - how many qt's are in 15.5 cups

  qt                 cup

   1   ----------     4

   X  ----------   15.5

4 · X = 1 · 15.5

4X = 15.5

X = 15.5 ÷ 4

X = 3.875qt

Last rule of 3 to know how many liters there are in 3.875qt:

  qt                       litres

   1         ----------    0.95

3.875    ----------      Y

1 · Y = 0.95 · 3.875

<h2>Y = 3.68L</h2>

In a day a young man should drink 3.68L of water

6 0
3 years ago
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