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ddd [48]
2 years ago
10

Write a recrusive rule for the exponential functionf(x)=0.25(2/3)^x​

Mathematics
1 answer:
krok68 [10]2 years ago
4 0

Answer:

f(0) = 0.25 = 1/4

f(x) = f(x-1) × 2/3

Step-by-step explanation:

a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4

a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =

= a0 × 2/3

a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =

= a1 × 2/3

=>

an = an-1 × 2/3, n >= 1

but what about negative x ?

is a0 = a-1 × 2/3 ?

a - 1 = 0.25 \times  {(2 \div 3)}^{ - 1}

so, yes, a0 = a-1 × (2/3)

and a-1 = a-2 × (2/3)

...

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taurus [48]

Answer: continuous random variable.

Step-by-step explanation:

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2 years ago
PLEASE HELP OH LORD JESUS PLEASE HELP ME!! I NEED HELP!! PLEASE HELP!!!
ddd [48]

Answer:

-1        <---------- slope

Step-by-step explanation:

Since the formula is y2-y1=x2-x1

since the points are (-2,6) and (0,4)

Enter the points in

4-6/0-(-2)   ----> (2 negatives is a +)

-2/2= -1

The slope is -1

If the slope is -1, the equation will be y=-x+b

then, enter one of the given points, (-2,6)

6=2+b

b=4

So the slope int form is y=-x+b

to find the point slope form,

y-y1=m(x1-x) <--- formula

So,

take 1 point (-2,6) and enter it in

y-6=-1(x+2)   <--- point slope form

to graph y=-3x+2

make x=0 and enter into the equation

y=0+2

y=2

so if x=0, y=2 so thats one point (0,2)

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y=-3(-6)+2

y=18+2

y=20

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Valentin [98]

Answer:

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Step-by-step explanation:

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X = 9^2 + 5^2 = c^2

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