Write a recursive formula for the following arithmetic sequence.

-6, -9, -12, -15, ...

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.

Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6


Related Questions

Convert standard form 4x-2y=6

Answers

Answer:

4x(-2)x(-2)=6

18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?

8

9

12

10.3

Answers

p=2(l+b) =2(3x-3) =6x=48=x=8

Answer: It’s 8

Step-by-step explanation:

Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.

Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.

Answers

Answer:

Diego is correct, he should move back one space.

Step-by-step explanation:

If every 5th customer gets a free bagel then you should be able to count up by 5s to figure out which people get the bagel. (5, 10, 15, etc.)

It would be the same for 9 and 12 (9, 18, 27, etc.) (12, 24, 36, etc.).

However, 23 is not divisible by 5, 9, or 12 (I moved on to division because it's the fast way to check)

But if you look at the multiples of 12 then you'll see that the 24th person would get a prize.

So, Diego should go back one space in order to get a prize because 23 is not  a multiple of 5, 9, or 12. However, 24 is a multiple of 12.

Hope this helps and makes sense.  


what is (-4) + 3 + (-5)

Answers

Answer:

-6

Step-by-step explanation:

-4 + 3 = -1

Add -1 to -5

-6

Hope this helps :)

Answer:

-6

Step-by-step explanation:

its addition so u can move them around due to (addition property)

so i took (-4) plus (-5) and got (-9)

then took (-9)+3 and got (-6)

11. One taxi company charges $10 plus $0.10 per mile for a fare to the airport. Another taxi
company charges $5.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?

Answers

Step-by-step explanation:

this answer will be 15 I think

A square root function has a domain of x > 5 and a range of y > 7. What is the range of its inverse?

Answers

Answer: C

Step-by-step explanation: just did the quiz

Using function concepts, it is found that the range of the inverse function is:

[tex]y \geq 5[/tex]

The range of a function is the data-set that contains all possible values the function can assume, that is, the values of y.In the inverse function, the inputs and outputs are exchanged, that is, the values of x on the function are the values of y on the inverse, and the values of y on the original function are the values of x on the inverse function, thus, the domain and range are also exchanged.

In the original function, x assumes values in the interval [tex]x \geq 5[/tex], hence, in the inverse function, the values assumed by y, which is the range, is [tex]y = \geq 5[/tex]

A similar problem is given at https://brainly.com/question/18907176

Maeve has 40 cups of apple juice. She uses 5/8 of the juice to make punch. She then uses the remaining juice to pour single servings that are 1/5 cup each. How many single servings does Mandy pour?

Answers

Answer:

75 single servings

Step-by-step explanation:

First multiply

40*5/8

You’ll get 25

now 40-25=15

Using 15

15 divided by 1/5

15÷1/5

keep change flip

15*5

75

Answer:

75 servings

Step-by-step explanation:

1. Form an equation

As per the given information;

- starts with 40 cups of juice

- uses 5/8 of the juice

-Splits the remaining serving amongst people, giving each person (1/5) of a cup

Hence the equation is;

(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]

2. Solve the equation

(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]

Simplify;

(40 - 25) ÷ [tex]\frac{1}{5}[/tex]

Dividing by a fraction is the same as multiplying by the fraction's reciprocal;

(40 - 25) * 5

Follow the order of operations, remember the order of operations are;

1. parenthesis

2. exponents

3. multiplication, division

4. addition, subtraction

Parenthsis first

(40 - 25) * 5

15 * 5

Multiply next

15 * 5

75

The distances traveled by car A car Afx x hours. are. represented by the graph and table below.

Answers

Answer: b

Step-by-step explanation:

The speed of car B is twice the speed of car A.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

For car A,

Time= 5 hours

Distance = 200 miles.

speed= 200/5

speed= 40 mph

and, In car B

Time= 6 hours

Distance= 480 miles

speed= 480/6

speed= 80 mph

Hence, the speed of car B is twice the speed of car A.

Learn more about proportion here:

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Tyler's brother earns $12 per hour. The store offers him a raise - a 5% increase per hour. After the raise, how much will Tyler's brother make per hour?

Answers

Answer: $12*0.05=$0.60. Then, add this amount to his current hourly rate. So he now makes $12.60.

Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)

Answers

The expression is equivalent to 1

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given:

2cos²(x/2) - cos(x)

We know

cos x= 2cos²(x/2) + 1

2cos²(x/2) = cos x +1

Then,

2cos²(x/2) - cos(x)

=  cos x +1 - cos x

=1

Learn more about this concept here:

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Answer: B.1

Step-by-step explanation:

I did it on edge

FREUUUUUU POINTS +brainlest

Answers

Answer:

:P

Step-by-step explanation:

Thanks lol :) I love being bored :)

it is given that x+4 is a factor of p(x)=2x³+3x²+ax-12.When p (x) is divided by x-1 the remainder is b.Show that a=-23 and find the value of the constant b​

Answers

Answer:

Thanks for the points

The amount of money you earn varies directly to the number of pizzas you sell. If you earn $44 for selling 8 pizzas, How many pizzas do you need to sell to earn $132?

1: Set up an equation
2:Solve the problem.

Answers

Answer:

You would need to sell 24 pizzas

Step-by-step explanation

132/44= 3

Take the 3 and times it by 8

3 x 8 = 24

You would need to make 24 pizzas

Each pizza is 5.50$

So an equation for this could be

5.50x P = C

P = Pizza

and C is the cash you earned

I hope this helps

MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations

Answers

90-42=48
48/6 = 8
The 6 student each handed out 8 invitation

Write the equation for the following:
m = 6.5; (0, 3) (Write in the form of y=mx+b with NO spaces!)
EQUATION:

Answers

Answer:

y= 6.5x+3 is the equation

What is the product of:
200 x 32.6.

Answers

Answer:

6,520

Step-by-step explanation:

Because that is the answer when you multiply them together.

Answer:

6,520

Hope this helps!

Effie is selling candles to raise money for new soccer league equipment. A small candle sells for $8 and a large candle sells for $12. The number of large candles Effie sells must be greater than or equal to 2 times the number of small candles she sells. She has at most 48 candles to sell.

The number of small candles sold is represented by x and the number of large candles sold is represented by y.

What is the maximum revenue she can make?




$448

$512

$576

$588

Answers

Answer:

The answer is 576

Answer: 512

Step-by-step explanation:

vector u has initial point at (6,8) and terminal point at (3,-2). Vector v has initial point at (-4,-3) and terminal point at (1,-7). What is u-v in component form?
a.(-8,-6)
b.(-2,-6)
c.(8,6)
d.(12,16)

Answers

Answer:

Edg: A - (-8,-6)

Step-by-step explanation:

Using vector concepts, it is found that the component form of u - v is (-8,-6), option a.

-----------------------------------

The component form of a vector is given by its terminal point subtracted by its initial point.The subtraction of vectors is the subtraction of its components.

-----------------------------------

Vector u has initial point at (6,8).Vector u has terminal point at (3,-2).

Thus, the component form of vector u is:

[tex]u = (3,-2) - (6,8) = (3-6, -2-8) = (-3,-10)[/tex]

-----------------------------------

Vector v has initial point at (-4,-3).Vector v has terminal point at (1,-7).

Thus, the component form of vector v is:

[tex]v = (1,-7) - (-4,-3) = (1 - (-4), -7 - (-3)) = (1 + 4, -7 + 3) = (5,-4)[/tex]

-----------------------------------

The subtraction of vectors u and v is the subtraction of it's components, thus:

[tex]u - v = (-3,-10) - (5, -4) = (-3 - 5, -10 - (-4)) = (-8, -10 + 4) = (-8,-6)[/tex]

The component form of u - v is (-8,-6), option a.

A similar problem is given at https://brainly.com/question/16407090

Help emnenenememmeemmenenedudhshs

Answers

Es no sé lo dirbyo esq ir 34\ 57 y 36/89 es necesario ntp eh lo

C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4

Answers

Answer:

36 ÷ 9= 4

Step-by-step explanation:

9 x 4= 36

The division equation for this is 36 ÷ 9= 4

The product of the expression 9 and 4 is 36.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Give that we have to multiply 9 with 4.

This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.

In both cases, the product must be the same.

9 multiplied by 4 =  9 + 9 + 9 + 9

Which is also equal to,

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4

= 36

Hence the product is 36.

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Use inductive reasoning to find the next two terms in the sequence:

400, 200, 100, 50, ______, ______

Answers

25, and 12.5... it is dividing by a half each time, so half of 50 is 25 and half of 25 is 12.5, hope this helps!

please help me please

Answers

Answer:

6x-3

Step-by-step explanation:

Let f(x) = x, and x=f(x) .

Re arrange to find formula. I.e

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

Which equation best models the data shown in the scatter plot?

In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).

A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5

Answers

Answer:

The correct option is;

D. y = 3·x - 5

Step-by-step explanation:

From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;

The slope = (1 - (-7))/(2 - (-0.5)) = 3.2

Taking the slope of the line of best fit as approximately equal to 3, we have;

3.2 ≈ 3

The equation of the line in point and slope form is therefore;

y - 1 = 3 × (x - 2)

y = 3·x - 6 + 1

∴ y = 3·x - 5

Answer:

D

Step-by-step explanation:

What is the equation for this graph

Answers

Y=4/5x + 4
Happy holidays!

find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)

Answers

Answer: A

Explanation:

Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.

It should be A (-2,-4). When using elimination.

Brainliest if correct please help

Answers

Answer:

it is F

Step-by-step explanation:

carrots and beans combined is 11 and corn is 11

F is the correct one

yall help im drowning in work. 19 = 4a − 12

Answers

Answer:

a=7.75

Step-by-step explanation:

19 = 4a − 12. 19+12=31. 31/4=7.75

Answer:

7.75

Step-by-step explanation:

19 = 4a - 12

add 12 to both sides

31 = 4a

divide by 4 to isolate the variable

7.75 = a

PLEASE ANSWERRRR!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!

The scatterplot for a set of data points is shown. Choose the BEST estimate for R, the correlation coefficient.


Have a good day!!

Answers

I would say (1.7, 2.5) would be best for R (im pretty sure its where the blank is at lol)

btw I like your pfp :D

Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6

Answers

I have no idea sorry
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−9x-6

what is 3 divided by 1/6?

Answers

Answer:

18

Step-by-step explanation:

Answer:

The correct answer is 18

Step-by-step explanation:

HAVE A GOOD DAY!

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