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vampirchik [111]

3 years ago

7

Use function notation to write a recursive formula to represent the sequence: 3, 6, 12, … f(n) = f(n − 1) + 3 f(n) = f(n − 1) +

2 f(n) = f(n − 1) ⋅ 3 f(n) = f(n − 1) ⋅ 2

2 answers:

Reika [66]3 years ago

7 0

The answer is D) f(n) = f(n − 1) ⋅ 2

Wittaler [7]3 years ago

6 0

Answer:

f(n) = f(n − 1) ⋅ 2

Step-by-step explanation:

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The distributive property of 48x3<br> ( )+( )

Andru [333]

The answer is 144:) :)

7 0

3 years ago

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You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

3 years ago

According to the Guinness Book of World Records, a woman from Russia, Mrs. Vassilyeva, had 69 children between the years 1725 to

Maurinko [17]

Answer:

36.36% probability that she gave birth to quadruplets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

Desired outcomes:

Giving births to quadruplets.

She has 4 sets of quadruplets.

So $D = 4$

Total outcomes:

At least 3 children(triplets).

7 sets of triplets and 4 sets of quadruplets.

So $T = 7 + 4 = 11$

Probability:

$p = \frac{D}{T} = \frac{4}{11} = 0.3636$

36.36% probability that she gave birth to quadruplets

8 0

3 years ago

a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square

vitfil [10]

Check the picture below.

$\bf A=s^2\qquad s=2\frac{3}{2}\qquad A=\left( 2\frac{3}{2} \right)^2\implies A=\left( \frac{2\cdot 2+3}{2} \right)^2
\\\\\\
A=\left( \frac{7}{2} \right)^2\implies A=\cfrac{7^2}{2^2}\implies A=\cfrac{49}{4}\implies A=12\frac{1}{4}$

3 0

3 years ago

Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they work

babunello [35]

Let the hours Kade worked = X

Theo would be X - 3 ( 3 less than Kade).

Now you have:

X + X -3 = 27

Combine like terms:

2x - 3 = 27

Add 3 to each side:

2x = 30

Divide both sides by 2:

x = 15

Kade worked 15 hours.

Theo worked 12 hours.

6 0

3 years ago

Read 2 more answers