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pickupchik [31]
3 years ago
14

What is the average rate of change from x = -3 to x = 3

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
I believe it is -1 since -3 times -1 equals 3 and the rate of change is based on the slope of a line 
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Given the recursive function f(n) = f(n - 1) - 3 ; f(1) = 9 , what would be the first three terms of the sequence ?
Ann [662]

The first three terms of sequence are 9 , 6 , 3

<em><u>Solution:</u></em>

Given the recursive function f(n) = f(n - 1) - 3

Where f(1) = 9

To find: First three terms of sequence

Substitute n = 2 , n = 3 and n = 4 in given recursive function

When n = 2

f(n) = f(n - 1) - 3

f(2) = f(2 - 1) - 3

f(2) = f(1) - 3

f(2) = 9 - 3 = 6

f(2) = 6

Thus second term is 6

When n = 3

f(3) = f( 3 - 1) - 3

f(3) = f(2) - 3

f(3) = 6 - 3 = 3

f(3) = 3

Thus the third term is 3

When n = 4

f(4) = f( 4 - 1) - 3

f(4) = f(3) - 3

f(4) = 3 - 3

f(4) = 0

Thus the fourth term is 0

Thus first three terms of sequence are 9 , 6 , 3

6 0
3 years ago
Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 -
natali 33 [55]

Answer:

The center is at (3, -4), and the radius is 9.

Step-by-step explanation:

x² + y² − 6x = 56 − 8y

Move x and y terms to one side.

x² − 6x + y² + 8y = 56

Complete the squares.

x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16

(x − 3)² + (y + 4)² = 81

The center is at (3, -4), and the radius is 9.

3 0
3 years ago
Michael cycles 4 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips
Lady bird [3.3K]

Answer:

The equation that represents the total distance travelled by numbers of times he goes to work by Michael is y = 4*x

Step-by-step explanation:

Since Michael has to travel 4 km each time he goes to work if he goes to work 2 times he'll have to travel 8 km, if he goes 3 times he'll have to travel 12 km. If we keep doing this we'll realize that the distance travelled by Michael is given by the number of times he goes to work multiplied by 4. The equation that represents that is:

y = 4*x

4 0
3 years ago
What is the domain of the function represented by these ordered pairs?
Natali [406]
The domain is the set of all the values of X therefore it would be D.
4 0
2 years ago
16x^2+25 factor completely
SSSSS [86.1K]

Answer:

You can't factor further

Hope this helps!

6 0
3 years ago
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