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kotegsom [21]
3 years ago
7

Find the average value of f(x)=2/x over the interval [1, 3].

Mathematics
1 answer:
Zanzabum3 years ago
3 0

\bf slope = m = \cfrac{rise}{run} \implies  \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby  \begin{array}{llll} average~rate\\ of~change \end{array}\\\\ -------------------------------\\\\ f(x)= \cfrac{2}{x}  \qquad  \begin{cases} x_1=1\\ x_2=3 \end{cases}\implies \cfrac{f(3)-f(1)}{3-1}\implies \cfrac{\quad \frac{2}{3}-\frac{2}{1}\quad }{2} \\\\\\ \cfrac{\quad \frac{2-6}{3}\quad }{2}\implies \cfrac{\quad \frac{-4}{3}\quad }{\frac{2}{1}}\implies \cfrac{-4}{3}\cdot \cfrac{1}{2}\implies -\cfrac{2}{3}

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Graph the relation shown in the table. Is the relation a function? Why or why not?
patriot [66]

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

x + 6 y = 5

6 x + 2 y = 8

x − y + 4 = 8

Use the given functions to set up and simplify  

2 .

x y =

− 1 =

3 =

− 1 =

2 =

0 − 4 = − 4

4 = − 4

2 = − 4

Step-by-step explanation:

Find the equation with a point and y-intercept.

y = ( y/ x  −  y )  x  +  x y

The chosen topic is not meant for use with this type of problem. Try the examples below.

( 0 , 9 )  ,  ( 8 , 6 )

( 0 , 9 )  ,  ( 5 , 4 )  ,  ( 1 , 4 )

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4 0
3 years ago
= 2 - 4
jekas [21]

Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

{}x         {}          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 {}                   7.5

12{}                    8

13                 8.5

14                  9

15                  9.5

16               10

5 0
3 years ago
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
Feliz [49]

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = \frac{1}{4}x

Sweets given to Raji = 5

Remaining sweets = 7

x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16

6 0
3 years ago
You have $550 in a savings account that earns 3% simple interest each yaer. How much will be in your account in 10 years?
bija089 [108]
Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
             = 550 [1 + 3/10]
             = 550 * (13/10)
             =  55 * 13
             = 715 dollars
So the total amount in my account will be $715
4 0
3 years ago
Idk the answer to this question please help me
erica [24]
2/3 x 42/3
hope this helps

7 0
3 years ago
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