Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.

Answers

Answer 1

Answer:

tn=9+3(n-1)

Step-by-step explanation:

Formula: tn=t1+d(n-1)

AKA: term n=term 1 plus common difference times n minus 1

For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1

Plug in the answer: tn=9+3(n-1)


Related Questions

what is 5.6+2.2x>65.6-1.8x

Answers

Answer:  x>15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

>

15

Interval Notation:

(

15

,

)

Find 4.8 x 7.2 show your proof

Answers

Answer:

34.56

Step-by-step explanation:

it is what it is


[tex] \frac{2 {x}^{3} + 4 {x}^{2} - 5 }{x + 3} [/tex]
I need help with this one.​

Answers

2x³ = x • 2x², and

2x² (x + 3) = 2x³ + 6x²

Subtract this from the dividend to get a remainder of

(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5

-2x² = x • (-2x), and

-2x (x + 3) = -2x² - 6x

Subtract this from the last remainder to get a new one of

(-2x² - 5) - (-2x² - 6x) = 6x - 5

6x = x • 6, and

6 (x + 3) = 6x + 18

This gives a new remainder of

(6x - 5) - (6x + 18) = -23

x does not divide -23, so we're done, leaving us with

[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]

The following graph shows a proportional relationship

Answers

Answer:

for every 5 units to the right, there is 1 unit up

the slope is y = 1/5


[tex] {x}^{2} + 4x + 5 = 0[/tex]
For what values of x is the equation below true?​

Answers

There’s no solution to this equation-

An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 4 large baskets, using a total of 60 pieces of fruit. Using wire baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 132 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?
The small baskets each include______pieces and the large ones each include_____pieces.​

Answers

Answer:12 and 15

Step-by-step explanation:

Which verbal expression shows 4 ÷ n?

Answers

Answer:

the quotient of 4 and n

Step-by-step explanation:

or 4 divided by n

help help help help help

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

(5) (-9) (-2)

-45 (-2) = 90

hope this helps

At a factory, five robots can construct
a car every ten minutes. How many
robots are needed if the company
wants to produce 30 cars every 25
minutes?

Answers

Answer:

5 times the quantity of 30 is (5*30) = 150 robots are needed.

Step-by-step explanation:

....

what is. 1+9.........

Answers

Answer:

uh 10?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that Cathy ends up repaying

Answers

Answer: this answer makes no sense

Step-by-step explanation:

Helppppppppp i will mark you as a Brianlist

Answers

Answer:

I would say 23

Step-by-step explanation:

From 13 to 17 they add 4 then from 17 to 21 they add 4 so 21 plus 4 does not equal 23

Answer:

16, 25, 36

Step-by-step explanation:

there's a lot lol

I will give Brainliest.
graph the line representing the equation 10x + 12y = 240.

Answers

Answer:

Step-by-step explanation:

10x + 12y = 240 simplified is y= -5/6 +20

The x-intercept is located at ( 24 ,0)

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is -5/6

Answer:

Step-by-step explanation:

Evaluate7r -
3
when r=2.5 andq=12.
+6)
A. 3.5
B. 4.5
C. 5.5
D. 7.5

Answers

Answer:

14.5

Step-by-step explanation:

Which of the relations below is a function?

{(2,3), (3,4), (5,1), (6,2), (2,4)}

{(2,3), (3,4), (5,1), (6,2), (3,3)}

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Answers

Answer:

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Step-by-step explanation:

A relation may or may not represent a function.

The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}

Relations and functions

For a relation to be considered a function, then the x values must point to different y-values.

The above condition is true for the relation (3).

This is so because all x values in this relation point to different y-values.

Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}

Read more about relations and functions at:

https://brainly.com/question/10283950

How to solve for x??

Answers

Answer:

17

Step-by-step explanation:

The sum of a polygon's angles is 180° (n − 2), where n is the number of sides.  A hexagon has 6 sides, so the sum of the angles is:

180° (6 − 2) = 720°

Therefore:

720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110

720 = 26x + 278

26x = 442

x = 17

3[25-2(9+3)]=?. Pleaseeeeeeee

Answers

Sorry for the hand writing

Simplify the following expression
- 4p - (1 - 6p)​

Answers

Answer:

2p-1

Step-by-step explanation:

Answer:

-2p - 1

Step-by-step explanation:

-4p - (1 - 6p)

-4p - 1 + 6p

-4p + 6p - 1

-2p - 1

Please let me know if I'm wrong!

Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4

Answers

Answer:

m = 4/3

Step-by-step explanation:

Slope of line is given by

m = (y2-y1)/(x2-x1)

where

(x1,y1) and (x2,y2) are the two points on coordinate plane.

__________________________________________

Given points

(4,5) and (7,9)

using the above formula to find slope and plugging in the given points value

we have,

slope m = (9-5)/(7-4)

m = 4/3

Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.

Which of the following is the equation for the line perpendicular to the line 3x−2y=10 that passes through the point (7, 5)

Answers

Answer:

the answer is B which is y= -2/3x + 29/3

Step-by-step explanation:

Emmett buys an emerald pendant priced at $527.50. Shipping and handling are an additional 12% of the price. How much shipping and handling will Emmett pay?

Answers

I think that would be $131.80 or round that off

what is the answer?​

Answers

Answer:

i think it is 8

Step-by-step explanation:

but i am not sure

8 is the answer :D and yeah

1÷2/3 blank 1

I have to figure out if it is < > =​

Answers

Answer:

>

Step-by-step explanation:

Step 1: Define

1÷2/3 ? 1

Step 2: Evaluate 1÷2/3

1÷2/3 = 1 · 3/2 = 3/2

3/2 = 1.5

Step 3: Find

1.5 ? 1

1.5 > 1

the function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?

g(x)= 9 cos (x - 2pi/ 3) -1

g(x)= 9 cos (x - 2pi/3) +7

g(x)= 9 cos (x - pi/3) +7

g(x)= 9 cos (x - pi/3) -1

Answers

Answer:

g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7

Step-by-step explanation:

What is given is f(x) = g cos (x - pi/2) + 3

Note that the standard form of cosine function is a cos (bx + c) + d

a= amplitude

-c/b = phase shift

d = vertical shift

After moving pi/6 to the left --

x = pi/2 - pi/6 = pi/3

once moving pi/6 left, it is at pi/3

moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.

So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7

The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

The function is given as:

[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]

The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.

The rule of this translation is:

[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]

So, we have:

[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]

Take LCM

[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]

[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]

Divide 2 by 6

[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]

Next, we translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

-6(2x-3)=-2(8x-1)
Helpp

Answers

Answer:

-4

Step-by-step explanation:

-12x+18=-16x+2

+16x       +16x

4x+18=2

    -18   -18

4x=-16

/4     /4

x=-4

Answer:

x=‒4

Step-by-step explanation:

‒6(2x‒3)=‒2(8x‒1)

‒12x+18=‒16x+2

‒12x+16x=2‒18

4x=‒16

4x/4=‒16/4

x=‒4

i hope it helps you.

2 bags of sunflower seeds cost $5. At this rate, how many bags of seeds
can you buy for$20?*

Answers

Answer: 50

Step-by-step explanation:

Answer:

8 Bags

Step-by-step explanation:

If two bags cost $5, and you can spend $20, the amount of money multiplies by 4, so the number of bags would also.

2 x 4 = 8

Turn the following fraction into a PERCENT: 15/60 ​

Answers

15/60 simplified is 1/4 so the answer is 25%
If you divide 15 and 60 it will give you .25 which is 25%

please help im stuck

Answers

.62 as a fraction could is 31/50

Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity

Answers

inconsistent equation

Which equation represents a line which is parallel to the line y-7x= -2

Answers

Answer:

7x-y = 2

Step-by-step explanation:

i think it is right I"m not very sure

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They cant contain harmful, discriminatory, false, misleading or deceptive messages.14 There are a lot of safeguards being built in, he said.15 Berry emphasized that the space reserved for the ads would be very limited, meaning toward the back of the bus.16 By 2012, nine statesArizona, Colorado, Massachusetts, Nevada, New Jersey, New Mexico, Tennessee, Texas and Utahpermitted advertising on the exterior of school buses, according to the Campaign for a Commercial-Free Childhood. Several, including Missouri, considered it last year.17 The bill made it out of the Missouri House last year but did not clear the Senate, Berry said. 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