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3 years ago

For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

7 0

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is $\frac{f(b)-f(a)}{b-a}$

The given function is $f(x)=-5^{x-3}+2$ .

$f(4)=-5^{4-3}+2=-3$ .

$f(4)=-5^{3-3}+2=1$ .

The average rate of change from x=3 to x=4 is given by:

$\frac{f(4)-f(3)}{4-3}$

$\frac{-3-1}{4-3}=-4$

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How many notebooks do you think it would take to make a stack that is 5 feet high?

aev [14]

Answer:

There are total 30 books in the 5 feet high stack of books.

Step-by-step explanation:

The complete question is

Given, Each note book is 2 inches thick, How many notebooks do you think it would take to make a stack that is 5 feet high

Solution

Thickness of each book $= \frac{2}{12} = \frac{1}{6}$

The total height of the book stack is $5$ feet.

The number of books in the stack is equal to total height of the stack divided by the thickness of one book

Number of books in five feet high stack is

$\frac{5}{\frac{1}{6} } \\5 * \frac{6}{1} \\30$

Hence, there are total 30 books in the 5 feet high stack of books.

4 0

3 years ago

A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the

dangina [55]

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

6 0

3 years ago

How many matches are needed to form figure number 9 and 17? explain

saveliy_v [14]

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For point 1:

At this point we make up triangles for the first one makes up by 3 matches figure 2 make up by 5 matches figure 3 makes up by 7 matches.

For point 2:

$4 \ \ 5\ \ 6\ \ 7\ \ 8$ you can try to

$9 \ \ 11\ \ 13 \ \ 15 \ \ 17$ draw to find values

For point 3:

number of matches $= 1+2 \times \ figure\ number\\\\$

For point 4:

$1+2 \times 9=19 \ \ (use \ law \ of\ (iii)) \\\\1+2 \times 17=35$

3 0

3 years ago

This table shows values that represent an exponential function. What is the average rate of change for this function for the int

Pepsi [2]

Answer:

$\boxed{12}$

Step-by-step explanation:

When x = 3, y = 13

When x = 5, y = 37

Subtract both y-values to find the change:

37 - 13 = 24

Average of the change:

$\frac{24}{2}$ = 12

6 0

3 years ago

PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).

shutvik [7]

◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 ) can be written as -

125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.

6 0

3 years ago