What is the formula for the following arithmetic sequence?

-9, -2, 5, 12, ...

an = -9 + 7( n - 1)
an = -9 + (-7)( n - 1)
an = 7 + (-9)( n - 1)
an = 9 + (-7)( n - 1)

Answer: It's the second option

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2020-2021 <3

Answer: For 7 this is how to graph it

Answer:

$150

Step-by-step explanation:

$30 x 3 = 90

$20 x 3 = 60

90 + 60 = $150

hope this helps! (:

Answer:

The solution is -3.

The graph is attached.

Step-by-step explanation:

To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].

The graph representing this is attached.

Hope it helps and is correct!

Answer:

The answer is $0.65, or 65 cents.

Answer:

$.65

Step-by-step explanation:

so 65 cents

Answer:

Number line D is true

Step-by-step explanation:

Given

[tex]-3x + 1 < 7[/tex]

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in [tex]-3x + 1 < 7[/tex]

[tex]-3x < 7 - 1[/tex]

[tex]-3x < 6[/tex]

Divide through by -3

[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]

[tex]x > -2[/tex]

The inequality means x is greater than -2.

This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened

Number line D is true

Answer:

y = 1.25x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

( -4 , -3 ) ( 8 , 12 )

12 + 3   15 = 5

8 + 4    12 = 4

↑ slope = 5/4

↓ point slope form: y - y₁ = m ( x - x₁ )

y + 3 = 5/4 ( x + 4 )

y + 3 = 5/4x + 5

-3

y = 5/4x + 2

Answer:

It was a 16.7% discount

Step-by-step explanation:

You have to get the discount and divide it by the original price and it would be 0.16753 and so the percent becomes 16.7%

Answer: About 6 percent off.

Step-by-step explanation:

hope this helps :)

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Answer: Let me know if this helps.

Step-by-step explanation:

5(2t+3)=75     Distribute the 5 using multiplication. 5x2t and 5x3

10t+15=75      Subtract 15 because you need to get the t by itself.

10t = 60         Now divide by 10 to get t by itself. 10/10 and 60/10.

t = 6               Answer.

Answer:

t=6

Step-by-step explanation:

It's all about get t on one side of the equation, and so everything else on the other side of the equation.

The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):

(5(2t+3))/5=75/5

2t+3=15

The next thing we can get rid of is the 3. Subtract 3 from both sides:

2t+3-3=15-3

2t=12

Now, we get rid of the 2. Divide both sides by 2:

2t/2=12/2

t=6

Step-by-step explanation:

again option D x = 10, y= 3

is the correct answer of this question.

plz mark my answer as brainlist.if you find it useful.

hope this will be helpful to you.

Answer:

x = 10

y = 7

Step-by-step explanation:

4x-2 = x+28

4x-x = 28+2

3x = 30

x = 30÷3

x = 10

4y-7 = y+14

4y-y = 14+7

3y = 21

y = 21÷3

y = 7

Answer:

60

Step-by-step explanation:

60

The average speed of the train was 80mph.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, Given that, Station A and Station B are 120 miles apart.

And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.

Let, its average speed was x mph.

Then, Total time if didn't stop = 120/x h

Now, before stop it took time =( 1/3×120)/x h =40/x h

After stop it took time = 80/(x+15) h

i.e. 40/x +16/60+ 80/(x+15) = 120/x

⇒80/(x+15)+8/30= 80/x

⇒80(1/x-1/(x+15))=8/30

⇒10×(15/x^2+15x)=1/30

⇒x^2+15x=10×15×30

⇒x^2+15x-450=0

⇒x^2+75x-60x-450=0

⇒(x+75)(x-60)=0

⇒x=60 or, x= -75

Hence. the required speed was 60mph.

To learn more on equation click:

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Answer:

Points R, S, T, Q on circle O is given

and points are central arc

Step-by-step explanation:

Answer:

(-2,0)

Step-by-step explanation:

(-2,0) is the midpoint I believe!

Hope that helps!

the mid point of AB is 1 and -1

Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

Answer:

X = -2, Y = 13

X = 0, Y = 9

X = 2, Y = 5

X = 4, Y = 1

Step-by-step explanation:

Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:

y = -2(-4) + 9

Simplify it:

y = 8 + 9

y = 17

Repeat this process with the rest of the X values to get your Y values.

Answer:

hhhhs jjeguuw iiwhrbmeo

Answer:

237

Step-by-step explanation:

The area of the regular octagon is 237 cm^2

The given parameters are:

Apothem (a) = 8.45

Side length (s) = 7

Number of sides (n) = 8

The area of the regular octagon is then calculated as:

A = 0.5 * a * n * s

This gives

A = 0.5 * 8.45 * 8 * 7

Evaluate the product

A = 236.6

Approximate

A = 237

Hence, the area of the regular octagon is 237 cm^2

Read more about octagon at:

https://brainly.com/question/1592456

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]

Answer:

Step-by-step equation:

15% of 60 is nine.

Percentage is equivalent to the portion of a quantity present in the whole. The portion of each person’s tip amount shared by Sara and 3 of her friends is $2.65.

A percentage is a value that indicates 100th part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The amount of tip is 15% of the total amount A.

The total amount of 4 lunches = $60.

As per the question, the total amount can be written as,

15% of A = A - 60

=> 15 / 100 × A = A - 60  

=> A - (3 / 20) × A = 60

=> A - (3 / 20) × A = 60

=> (17 / 20) × A = 60

=> A = (60 × 20) / 17

=> A = 70.58

Now, the total amount of tip is,

15% of 70.58

(15 / 100) × 70.58 = 10.58

The tip shared by each friend = 10.58 ÷ 4

                                                 = 2.65

Hence, the portion of each person’s tip amount is $2.65.

To know more about percentage click on,

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Answer:

5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified

Step-by-step explanation:

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477