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2 years ago

What is the average rate of change for f(x) = 2x + 2 over the interval -1 < x <1

Mathematics

2 answers:

MaRussiya [10]2 years ago

8 0

Answer:

the average rate of change for f(x) over the given interval is 2.

Step-by-step explanation:

The function f(x) = 2x + 2 has a straight line graph, and the slope of this line is always 2. Thus, the average rate of change for f(x) over the given interval is also 2.

Korolek [52]2 years ago

7 0

Answer:

The average rate of change of f(x) over the interval −1 ≤ x ≤ 1 is -1.

Step-by-step explanation:

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algol13

Answer:

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Step-by-step explanation:

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2 years ago

If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?

Agata [3.3K]

<h3>Given</h3>

A geometric sequence such that ...

$a_2=-2\quad\text{and}\quad a_5=16$

$a_{14}$

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

$a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192$

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3 years ago

What is the value of pi

11111nata11111 [884]

Pi really goes on for infinity, but here are the first seven numbers:

3.14159

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3 years ago

Cindy has 34 meters of fencing. She

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Her within reach work be 54 percent with the chance of getting to work

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3 years ago

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babunello [35]

Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

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2 years ago