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Lubov Fominskaja [6]
3 years ago
14

Help math beats me up in dark alleys

Mathematics
1 answer:
andriy [413]3 years ago
3 0

Replace x with 3:

f(x) = 20(0.5)^x

f(3) = 20(0.5)^3

First do 0.5^3 = 0.125

Now multiply that by 20:

20 x 0.125 = 2.5


f(3) = 2.5

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6 0
3 years ago
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Rewrite 5 ⋅ x + 5 ⋅ 8 using parentheses.
Lera25 [3.4K]

Answer:

(5 ⋅ X) + (5 ⋅ 8) =

Step-by-step explanation:

7 0
2 years ago
How do you know if a graph you are looking at shows a periodic function? How do you determine the period of the graph?
mylen [45]

Answer:

A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).

You can also just say: A periodic function is one that repeats itself in regular intervals.

Step-by-step explanation:

The smallest value of T is called the period of the function.

Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.

For example, here's the graph of sin x.  [REFER TO PICTURE BELOW]

Sin x is a periodic function with period  2π  because  sin(x+2π)=sinx  

Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.

In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Hopefully this helped a bit.

6 0
3 years ago
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mojhsa [17]

Answer:

Increasing if f' >0 and decreasing if f'<0

Step-by-step explanation:

Difference quotient got by getting

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Here h is a small positive value.

In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.

Here given that for x1, x2 where x1<x2, we have

if f(x1) <f(x2) then the function is decreasing.

Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.

5 0
3 years ago
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tresset_1 [31]

Answer:

4b<30

Step-by-step explanation:

product means multiply so 4•b or 4b

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3 0
2 years ago
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