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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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Which expresion is equivalent to -5 -(-7)?<br> HURRY 20 POINTS
grigory [225]

Answer:

<h2>2 (the answer should have a positive sign.)</h2><h2>The equivalent to -5-(-7) is -5+7.</h2>

Step-by-step explanation:

To solve this problem, use the order of operations.

PEMDAS

Parentheses

Exponents

Multiply

Divide

Add

Subtract

\sf{-5-(-7)=-5+7}

\sf{-5+7}

Add or subtract.

Solve.

-5+7=2

\large\boxed{2}

So, the correct answer is 2.

3 0
2 years ago
The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
Chris is behind in 9 classes of school he has a total time of 25 days to make up 75 hours and 4 minutes worth of late work how m
Vlad1618 [11]

Answer:

Step-by-step explanation:

First, convert the 4 mins into hours by dividing by 60;

4/60 =0.067

Add 0.067 to 75 hrs to get the total = 75+0.067 = 75.067

Therefore the total time Chris needs to make up for is 75.067 hrs

Total number of days Chris has = 25

Next,

IF in 25 days = he can cover 75.067hrs

then in 1 day he will cover = (1 * 75.067)/ 25

        = 3.002

Therefore, Chris needs to do 3hrs each day to be able to complete the deadline

3 0
3 years ago
Jaleesa bought a movie online. She paid $19.00 plus tax. The sales tax was 9%. How much did she pay in sales tax?
boyakko [2]

Answer: she paid $1.71 in sales tax.  

Step-by-step explanation:

Find 9 percent of 19 to find the sale tax.

9% of 19 =

0.09 * 19 =  1.71  

This means she paid $1.71 in sales tax.

7 0
3 years ago
You have a part-time job. You earn $7.75 per hour. If you work 20 hours
katovenus [111]

Answer:

F. $155

Step-by-step explanation:

For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.

$7.75 * 20 = $155

Thus, your weekly pay will be $155.

Cheers.

4 0
3 years ago
Read 2 more answers
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