If you run 100 meters in 10 sec, what is your average speed?

These tables represent a quadratic function with a vertex at (0,3). What is the average rate of change for the interval from X =

Eva8 [605]

Answer:

-19

Step-by-step explanation:

The missing table is shown in the attachment.

Since the quadratic function has vertex at (0,3), its equation is of the form;

$y = a {x}^{2} + 3$

To find the value of 'a' we substitute any other point from the table say (1,2) to get:

$2 = a( {1)}^{2} + 3$

$a = 2 - 3 = - 1$

Hence the function is

$y = - {x}^{2} + 3$

Now

$f(10) = - 100 + 3 = - 97$

$f(9) = - 81 + 3 = - 78$

The average rate of change from x=9 to x=10 is

$\frac{f(10) - f(9)}{10 - 9} = \frac{ - 97 - - 78}{1} = - 19$

7 0

3 years ago

Which of the following r one dimensional figures?

asambeis [7]

Answer:

a. ray

e. segment

f. line

Step-by-step explanation:

Info on dimensions:

A Point has no dimensions
A Line is one-dimensional
A Plane is two dimensional
A Solid is three-dimensional

Let's see number of dimensions of figures:

a. ray

One dimension

b. angle

Two dimensions

c. square

Two dimensions

d. point

Zero dimension

e. segment

One dimension

f. line

One dimension

8 0

3 years ago

What will be the answer of this and please give full details

Degger [83]

First off, you have to convert 8 minutes into seconds.
A minute is 60 seconds, so multiply 60 by 8.
60×8=480
Now, change 10⁹ into a standard number. Since the number is 10 that is to have an exponent, the exponent, in this case 9, indicates how many zeros are in the standard number.
10⁹=1,000,000,000
So, multiply 480 by 1,000,000,000.
480×1,000,000,000=480,000,000,000
So, the answer is 480,000,000,000.

8 0

3 years ago

Zoltan has a list of whole numbers, all larger than 0 but smaller than 1000. He notices that every number in his list is either

timama [110]

The largest number of different whole numbers that can be on Zoltan's list is 999

<h3>How to determine the largest number?</h3>

The condition is given as:

Number = 1/3 of another number

Or

Number = 3 times another number

This means that the list consists of multiples of 3

The largest multiple of 3 less than 1000 is 999

Hence, the largest number of different whole numbers that can be on Zoltan's list is 999