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2 years ago

Complete the recursive formula of the arithmetic sequence 0, 11, 22, 33,...

Mathematics

2 answers:

Artyom0805 [142]2 years ago

8 0

Answer:

Step-by-step explanation:

C2-C1=11-0=11

C(n)=C(n-1)+11

ale4655 [162]2 years ago

4 0

Answer:

Complete the recursive formula of the arithmetic sequence 0, 11, 22, 33, 44, 55, 66,...

plz mark me as brainliest :)

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

2 years ago

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

Lana71 [14]

Answer:

$13.50 typical tip

Step-by-step explanation:

So to find the percentage

multiply 0.15*90

You’ll get 13.5

6 0

2 years ago

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Convert repeating decimal 9.81 to a fraction

vampirchik [111]

Answer:

981/100

Step-by-step explanation

step: 9.81= 9.81/1

step 2 multiply both too and bottom by 10

9.81/1 = (9.81*100)/(1*100)= 981/100

thus 981/100 is also equal to 9 81/100

6 0

3 years ago

How is it looking for and what are the steps

jok3333 [9.3K]

The model says a=.25t+29
a) since 1995 is 25 years after 1970 we have
a=.25*25+29=6.25+29=35.25 yrs old
b) since 2015 is 45 yrs since 1960 we have
a=.25*45+29=11.25+29=40.25, or 40.3 rounded to the nearest tenth

3 0

2 years ago

What is the solution to the system?<br><br> 1/2x + 3/2= -7<br> -3x + 2y = -2

inna [77]

Answer:

y = -53/2, x = -17

Step-by-step explanation:

1/2x + 3/2 = -7

-3x +2y = -2

Isolate X for 1/2x + 3/2 = -7

X = -17

Substitute X = -17

-3(-17) + 2y = -2

Isolate Y for -3 (-17) + 2y = -2

Y = -53/2

4 0

2 years ago

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