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OlgaM077 [116]
3 years ago
13

What is the average rate of change of the function over the interval x = 0 to x = 8?

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

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What is he value of F(-3)
PolarNik [594]

The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________


Given:

___________________________________________


f(x) = 7 − x ; if: x ≤ -3 ;


f(x) = x + 4 ; if: x > -3 ;

_________________________________________


Find: " f(-3) " :

_________________________________________


Note:  " f(x) = f(-3) " ;  → " x = - 3 " ;


Since  " x  = -  =3 " ;   →  x is NOT greater than "-3" ;


→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:


We have "x = -3 " .


We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };


→  then: " f(x) =  7 −  x " .

______________________________________________


Since: " x = - 3 " ;


→ then " x ≤ -3 " ;  and:


→ f(x) = 7 − x  ;


THEN:


→ f(-3) = 7 − (-3) ;  →  Note:  Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→         =  7  +  3 ;    

             =  10 .

___________________________________________________

→  f(-3)  =  10  .


_____________________________________

The answer is:  " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0
3 years ago
What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same
Ne4ueva [31]

Answer:

B. $7.04

Step-by-step explanation:

5.28 / 3 = 1.76

1.76 x 4 = 7.04

6 0
2 years ago
P-3=-4 solve the equation and check the solution
marishachu [46]

To solve the equation, you need to isolate/get the variable "P" by itself in the equation:

P - 3 = -4      Add 3 on both sides to get "P" by itself

P - 3 + 3 = -4 + 3

P = -1

PROOF

P - 3 = -4      Plug in -1 for P

-1 - 3 = -4

-4 = -4

7 0
3 years ago
seabass has a log that is 4 yards long. He cuts the log pieces that are 1/3 yard long. How many pieces will sebass have?
olga2289 [7]
12 pieces


3 pieces = 1 yard

Multiply 4 by 3 because the log is 4 yards long

That will give you 12 total pieces

5 0
3 years ago
270 cm of snow in 18hours​
saw5 [17]

Answer:

i'm sorry but where's the question?

7 0
2 years ago
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