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ivann1987 [24]
3 years ago
6

Which formula gives the average rate of change of f(x) over the interval [8,12]?

Mathematics
2 answers:
Kruka [31]3 years ago
5 0
I think the answer is C hope this would help you
vagabundo [1.1K]3 years ago
3 0

Answer:

\frac{f(12)- f(8)}{12-8}

Step-by-step explanation:

the average rate of change of f(x) over the interval [8,12]

The formula for average rate of change of f(x) over the interval [a,b] is

\frac{f(b)- f(a)}{b-a}

Given interval is [8,12]

a= 8  and b = 12

So the average rate of change over the interval [8,12] is

\frac{f(12)- f(8)}{12-8}

option 3 is correct

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<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E2_1%20%7Bx%5E%7B2%7D-8x%2B8%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\in
12345 [234]

Answer:

{ \underline{ \sf{\int\limits^2_1 {x^{2}-8x+8 } \, dx}  \: =  \:  - 1}}

Step-by-step explanation:

{ \tt{\int\limits^2_1 {x^{2}-8x+8 } \, dx}} \\  \\ =  { \tt{[ \frac{ {x}^{3} }{3}  - 4 {x}^{2}  + 8x ] {}^{2} _{1}}}

Substitute x with the limits:

= { \tt{( \frac{ {2}^{3} }{3}  - 4( {2)}^{2} + 8(2)) - ( \frac{ {1}^{3} }{3}  - 4( {1)}^{2}  + 8(1)) }} \\  = { \tt{( \frac{8}{3}  -  \frac{11}{3} )}} \\  \\  = { \tt{ - 1}}

4 0
3 years ago
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the
kvv77 [185]

Answer:

x+(x+4)=52

I think this is it

4 0
3 years ago
What is the length of a rectangle that area is 1,176 square meters?
Eduardwww [97]
Length would be 42 meters and width would be 28 meters. 
8 0
3 years ago
PLS ANSWER
Gemiola [76]
Copy Machine B copies faster
hope it helps!
6 0
3 years ago
4 - 2x = 10 plz solve
posledela

Answer:

x=7

Step-by-step explanation:

Opposite of subtraction is adding so you do 4+10=14 so that means that x equals seven because 2x7 equals 14.

4 0
3 years ago
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