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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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Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 9, d = 8 in the equation

\:a_n=9+8n-8

a_n=8n+1

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1
6 0
3 years ago
I=prt for t I=105 p=700 and r=0.05
Pachacha [2.7K]
t = 3   

Simple interest will be derived by multiplying the principal, the interest rate, and the term.

Interest = Principal x Rate x Term

Interest = 105
Principal = 700
Rate = 0.05
Term = ?

Based on the Simple Interest formula, 

term = Interest / principal x rate
term = 105 / (700 x 0.05)
term = 105 / 35
term = 3

7 0
3 years ago
What property or properties are not used when solving the following equation -3(4x-8)=-36
BigorU [14]
Either B or D I’m not really sure but I know it’s one of this answers
6 0
3 years ago
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Use the area of a rectangle and the Distributive<br> Property to find each product.<br> 9 X 34
OLga [1]

Answer:

Step-by-step explanation:

Write 34 in tens and units.

34 = 30 + 4

9(30 + 4)

9 * 30 = 270

9* 4 = 36

270 + 36 = 306

After awhile if your practice enough, you can do them in your head.

5 0
3 years ago
Choose the fraction that is equal to:
andrey2020 [161]

Answer:

A) 8/9

Step-by-step explanation:

8 divided by 9 is 0.88888888888888888888889 on a calculator

6 0
3 years ago
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