Ask question

Ask question

All categories

olga nikolaevna [1]

4 years ago

14

Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achil

les ate in the nth hour since he got it. f is a sequence.
What kind of sequence is it?

Write an explicit formula for the sequence.

1 answer:

Yakvenalex [24]4 years ago

7 0

Answer:

Step-by-step explanation:

the sequence is exponential and the formula is f(n) 16 -r/16-1

You might be interested in

What inequality sign also means "Has a limit of"?<br> I will mark brainiest

ladessa [460]

Answer:

greater/less than or equal to sign

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

iVinArrow [24]

Answer:

$m = 3b+6$

Step-by-step explanation:

Given

$f(x)=3x^2 - 9$

Required

The average rate over $[2,b]$

Average rate (m) is calculated using:

$m = \frac{f(b) - f(a)}{b - a}$

Where

$[a,b] = [2,b]$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

Calculate f(b) and f(2)

$f(x)=3x^2 - 9$

$f(b)=3b^2 - 9$

$f(2)=3*2^2 - 9 = 12 - 9 = 3$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

$m = \frac{3b^2 - 9 - 3}{b - 2}$

$m = \frac{3b^2 - 12}{b - 2}$

Expand the numerator

$m = \frac{3b^2 + 6b-6b-12}{b - 2}$

Factorize

$m = \frac{b(3b + 6)-2(3b+6)}{b - 2}$

Factor out 3b + 6

$m = \frac{(b -2)(3b+6)}{b - 2}$

Cancel out b - 2

$m = 3b+6$

4 0

3 years ago

| 3 - 10 | - ( 12 ÷ 4 + 2 )

Kipish [7]

Answer: 12

pls thank me and branliet

Step-by-step explanation:

7 0

3 years ago

3x − x − 1 = 15<br> What is x

azamat

Answer: x=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−x−1=15

3x+−x+−1=15

(3x+−x)+(−1)=15(Combine Like Terms)

2x+−1=15

2x−1=15

Step 2: Add 1 to both sides.

2x−1+1=15+1

2x=16

Step 3: Divide both sides by 2.

2x /2 = 16 /2

x=8

4 0

3 years ago

Read 2 more answers

photoshop1234 [79]

(a) 5^31-5^29 = 5^29(5^2-1)

= 5^29(24)
= 5^29(6)(4)
=5^26(6)*[(5)(5)(4)]
=5^26(6)*100
(b) 25^9+5^17 = 5^18+5^17
=5^17(5+1)
=5^17(6)
=5^16[(5)(6)]
=5^16*30
(c) 27^10â€“9^14 = 3^30-3^28
=3^28(3^2 -1)
=3^28(8)
=3^27[(3)(8)]
=3^27*24

6 0

4 years ago