The function f (x) = 6x + 13 defines a
sequence for x > 1. What are the first three
terms of the sequence?

Answers

Answer 1

Answer:

15, 21, 27

Step-by-step explanation:

Given the function :

f(x) = 6x + 13 ; which defines a sequence for x > 1

The first three terms of the sequence ;

x > 1 ;

Hence x = 2, 3, 4

The sequence :

f(2) = 6(2) + 3 = 12 + 3 = 15

f(3) = 6(3) + 3 = 18 + 3 = 21

f(4) = 6(4) + 3 = 24 + 3 = 27


Related Questions

Solve the following inequality:

4(x - 6) < 3x + 13

Answers

Answer:

x < 37

Step-by-step explanation:

4(x - 6) < 3x + 13

Distribute

4x -24< 3x+13

Subtract 3x from each side

4x-3x -24 < 3x+13-3x

x-24 < 13

Add 24 to each side

x-24+24 <13+24

x < 37

Step-by-step explanation:

4(x-6) <3x+13

4x-24<3x+13

CLT

4x+3x<13-24

7x<-11

x= -11/7

7x-6=21+7x solve for x. ​

Answers

Answer: x= 34/7

Step-by-step explanation:hope this helps!

A local pizza shop has a membership program for frequent buyers. The membership costs $10 per month and members get a discounted price of $1.75 per slice of pizza. Autumn purchased a membership to this pizza shop.What would be the monthly cost for xx slices of pizza?

Answers

Answer:

Monthly cost = $10 + $1.75x

Step-by-step explanation:

Given the following :

Membership cost = $10 per month

Discounted price for members = $1.75 per slice of pizza

If Autum purchased the membership, the monthly cost for x slices of pizza

Monthly cost of x slices will be :

Membership cost + (discounted price * number of slices)

Monthly cost = $10 + ($1.75 * x)

Monthly cost = $10 + $1.75x

10. The ratio of red marbles to purple marbles is 3:8. If there are 44
marbles, how many purple marbles are there? *

Answers

Answer:

32 purple marbles.

Step-by-step explanation:

Turn 3:8 into 3x+8x.

Equation:

3x+8x=44

x=4

Now, refer back to 3x:8x. We know that x=4, so 4*8=32.

32 purple marbles.

Answer:

There are 32 purple marbles and 12 red marbles

Step-by-step explanation:

The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...

3x+8x=44

11x=44

x=4

We need to know the number of purple marbles so we do,

8*4=32

A. It has reflectional symmetry with one line of symmetry.
B. It has rational symmetry with an angle rotation of 45°.
C. It has point symmetry.
D. It has no reflectional symmetry.
PLZ HELP!​

Answers

Answer:

The answer would be D.

Step-by-step explanation:

No matter which way you turn this shape, it will not be symmetrical

does anybody know the awnser to w=7a+4b

Answers

Answer:

w=7a+4bw-4b = 7a

Step-by-step explanation:

Company A makes business cards for $2.25 a
box and a setup fee of $4.50. Company B makes
business cards for $1.75 a box and a setup fee of
$6.00. How many boxes of business cards does each
ramiany make for the price to be equal

Answers

Answer:

225 and 175 are your x in this

Answer:

3 boxes

Step-by-step explanation:

Company A=2.25x+4.5

Company B=1.75x+6

2.25x+4.5=1.75x+6

.5x=1.5

x=3

Please show your work? A pool of possible candidates for a student council consists of 14 freshmen and 9 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?



28,828,800



1,352,078



72,072



943,286,400

Answers

Answer:

28,828,800

Step-by-step explanation:

There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.

∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.

So,  The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,

= [tex]^{14}C_5\times^{9}C_7[/tex] ways.

= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.

= 14×13×12×11×10/120 × 9×8/2 ways.

= 2002× 36 ways.

= 72,072.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

3 different ways to write 4/8
in ratios

Answers

Answer:

1:2

2:4

3:6

Step-by-step explanation:

Answer:

4:8

4 to 8

4/8

Step-by-step explanation:

What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5

Answers

It’s f+3 that your anser

An item is priced at $14.07. If the sales tax is 5%, what does the item cost including sales tax?

Answers

Answer:

14.77

Sale Tax: 5.00% or $0.70

Answer:

14.12

Step-by-step explanation:

0.05 is also known as 5%

14.07+0.05=14.12

Solve:
12 + 5 + 3’2 x 10 - 5 =
(12 + 5) + 3'2 x (10 – 5) =

Answers

Answer:

1) 102

2) 62

Step-by-step explanation:

12 + 5 + 3²  × 10 - 5

12 + 5 + 9 × 10 - 5

12 + 5 + 90 - 5

17 + 90 - 5

107 - 5

102

(12+5) + 3² × (10 - 5)

(17) + 9 × (5)

17 + 45

62

Hi :)

12 + 5 + 3^2 x 10 - 5 = 102

(12 + 5)+ 3^2 x (10 - 5) = 62



12 + 5 + 3^2 x 10 - 5

Add 12 and 5 to get 17
17 + 3^2 × 10−5

Calculate 3 to the power of 2 and get 9
17 + 9 × 10 − 5

Multiply 9 and 10 to get 90
17 + 90 − 5

Add 17 and 90 to get 107
107−5

Subtract 5 from 107 to get 102


(12 + 5)+ 3^2 x (10 - 5)


Add 12 and 5 to get 17
17 + 3^2 x (10 - 5)

Calculate 3 to the power of 2 and get 9
17 + 9 x (10−5)

Subtract 5 from 10 to get 5
17+ 9 × 5

Multiply 9 and 5 to get 45
17+45

Add 17 and 45 to get 62.

Hope this helps :)

Hi can somebody help me with this equation, please? 50=2(x+3)+10

Answers

Answer: x = 17

Step-by-step explanation:

1) Subtract 10 from both sides

40 = 2(x+3)

2) Divide both sides by 2.

20 = x + 3

3) Subtract 3 from both sides

17 = x

x = 17

Answer: x= 17

Step-by-step explanation:

17 plus 3= 20

then you multiply 20 times 2 (PEMDAS)

Then you get 40 and 40 + 10

equals 50

BRAINLIEST!!! easy question

Answers

Answer:

x=10 degrees

Step-by-step explanation:

Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.

Simplifying, we get

9x=90

or x=10

Answer:

18 degrees hope this helps

Step-by-step explanation:

please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.

Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared.

Answers

Answer:

Hope this helps...

Step-by-step explanation:

Sb please help me!!!

Answers

Answer:

A

Step-by-step explanation:


Which expression is equivalent to |1-5| + |3|?


O -2

O -8

O 2

O 8

Answers

Answer:

8

Step-by-step explanation:

because you do |1-5| first then do add ur answer to |3|

In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded.
Which inequality does this graph represent?

A. y ≥ 2
B. y ≤ 2
C. y 2

Answers

Answer:

A. y ≥ 2

Step-by-step explanation:

First the line is solid, a complete line not dotted so the inequality sign to use is : ≥  or ≤

The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :

y ≥ 2

See attached graph below.

An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Answers

Answer:

Shaheem paid $76 as his total.

Step-by-step explanation:

He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

9x - 5 = 7x + 3

2x = 8

x = 4

You move down 3 units. You end at (5,-2). Where did you start?

Answers

I think it’s (5,-5)

A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 40 pounds
and each large box of paper weighs 70 pounds. A total of 20 boxes of paper were
shipped weighing 1220 pounds altogether. Write a system of equations that could be
used to determine the number of small boxes shipped and the number of large boxes
shipped. Define the variables that you use to write the system.

HELP PLEASE (20 PTS)

Answers

40X+ 70X =1220 is the equation trying to find X on both sides

which angle is this??

Answers

isosceles. it has two equal sides

Answer:

acute

Step-by-step explanation:

the angles are all less than 90°

they are not equal so not equialteral

has to be acute

Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

Help!! Please! Its algebra!!

Answers

Answer:

y - 7 = -4 ( x -2 )

Step-by-step explanation:

just use the given informations:

The base formula:

y - y(1) = m ( x -x(1) )

remember that "m" typically refers to the slope of a line

There is a given set of points on the line: (2, 7)

hence just plug in the numbers:

x(1) = 2

y(1) = 7

m = -4

and you get

y - 7 = -4 ( x -2 )

Y=-4(x-2)

hope it helps

your hair is 5/16
inch long. Write this length as a decimal.

Answers

Answer:

0.3125

Step-by-step explanation:

in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.

Answer:

0.3125

Step-by-step explanation:

2 2/3 as a improper fraction

Answers

Answer:

8/3

Step-by-step explanation:

Answer: 8/3

Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3

Write the equation of the line that passes through (3, -2) and is parallel to y= 4x+1

Answers

Answer:

it should be y=4x-14

Step-by-step explanation:

since the line is parallel to y=4x+1 than the slope should be the same but the y intercept is different. and so u put the coordinate on a graph and use the slope and coordinate to fine the equation.

1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.

Answers

Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

x = -7y; 2x - 8y = 22​

Answers

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

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