a) The term-to-term rule of a sequence is
MULTIPLY BY 2 and ADD 1
The sequence starts 5 11
Work out the next two terms of the sequence.
b) The term-to-term rule of another sequence is
MULTIPLY BY 2 and ADD 3
The third term of the sequence is 17
17
Work out the first term of the sequence.

Answers

Answer 1

Answer:

a) 5, 11, 23, 47

b) 2, 7, 17

Step-by-step explanation:

a) 5*2+1=11

11*2+1=23

23*2+1=47

b) 17-3 /2 = 7

7-3 /2 = 2


Related Questions

[-10-(6 - 14) + 16]

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

simplify the equation below to determine whether there is one unique solution, no solution, infinitely many solutions. 3(6x + 8) = 24 + 18x​

Answers

Result

0 = 0

infinitely many solutions.

2) Uma equação foi descrita da seguinte maneira:

(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0

Analisando os coeficientes, o valor de k que faz com que essa equação seja uma equação do 2º grau é:

a) k = ± 2

b) k = + 2

c) k = - 2

d) k = 0

e) k = 4

Answers

Answer:

c) k = - 2

Step-by-step explanation:

Equação de Segundo Grau:

Uma equação de segundo grau tem o seguinte formato:

[tex]ax^2 + bx + c = 0[/tex]

Em que [tex]a \neq 0[/tex]

Caso tenham potências de x maiores que dois, o termo que multiplica essas potências deve ser 0.

Neste exercício:

Tem-se a seguinte equação:

[tex](k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0[/tex]

Para ser do segundo grau, necessita-se que:

[tex]k^2 - 4 = 0[/tex]

[tex]k^2 = 4[/tex]

[tex]k = \pm \sqrt{4}[/tex]

[tex]k = \pm 2[/tex]

E também

[tex]k - 2 \neq 0[/tex]

[tex]k \neq 2[/tex]

A intersecção entre [tex]k = \pm 2[/tex] e [tex]k \neq 2[/tex] é [tex]k = -2[/tex], e portanto a resposta é dada pela alternativa c.

O valor de k que torna a equação uma equação de segundo grau para a equação considerada é dado por: Opção C: k = -2

What is degree of an equation?

For a single variable equation, degree of an equation is the highest power the variable possess, such that its coefficient is non-zero.

A second degree equation is that equation where the maximum power involved in that equation is 2 (such that its coefficient is non-zero).

For this case, the considered equation is:

(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0

For making it second degree, we would have to vanish the coefficient of x³, and by vanish, we mean we would like to make it 0, but simultaneously, we'd have to take care that coefficient of x² doesn't become 0 as we need it to be non-zero.

So we get two mathematical statements:

Coefficient of x³ = 0Coefficient of x² ≠ 0

or

[tex](k^2 - 4) = 0\\k - 2 \neq 0[/tex]

Taking first equation, we get:

[tex]k^2 -4 = 0\\k^2 = 4\\k = \pm \sqrt{4} = \pm 2[/tex]
Thus, k = 2 or k = -2

From second statement, we get:

[tex]k -2 \neq 0\\\text{adding 2 on both the sides}\\k \neq 2[/tex]

Thus, from both the results, we conclude that k = -2 is correct choice.

Thus, the value of k that makes the equation a second degree equation for the considered equation is given by: Option C: k = -2

Learn more about second degree equation here:
https://brainly.com/question/17167165

Last month we had only five sunny days. If there were 30 days last month, the ratio of sunny days to the total number of days is ____.

Answers

Answer:

1:6

Step-by-step explanation:

5:30 simplified is 1:6

Answer:

5:30 Simplified: 1:6

Step-by-step explanation:

Hope this helps, and don't forget to follow!

find the circumference of a circle of radius 2.1m​

Answers

13.2

Step-by-step explanation:

r = 2.1

circumference of circle = 2πr

=2 × 22/7 × 2.1

= 13.2

Renting jet skis from Jerry's water sports costs $20.00 per hour plus a one-time fee of $8.00. Renting jet skis from Splash of fun costs $25.00 per hour with no one-time fee. The cost to rent a jet ski depends on the total number of hours,h, rented. How many hours must you rent a jet ski for the cost to be the same at jerry's water sports and at splash of fun?

Answers

Answer:

The indifference point is 1.6 hours.

Step-by-step explanation:

Giving the following information:

Jerry's water sports:

Variable cost= $20.00 per hour

Fixed cost= $8

Splash of fun:

Variable cost= $25.00 per hour.

First, we need to establish the system of equations:

Jerry= 8 + 20x

Splash= 25x

x= number of hours

Now, we need to equal both formulas and isolate x:

20x + 8 = 25x

8=5x

1.6= x

The indifference point is 1.6 hours.

Prove:

erry= 8 + 20*1.6= $40

Splash= 25*1.6= $40

Find the length of side BC. Give your answer to 1 decimal place. It's a right angle triangle with a hypotenuse of 14cm and an angle of 58 degrees.

Answers

Answer:

11.9

Step-by-step explanation:

What is the output for 2(3)+3 ???
input (x) 2x + 3 output
3 2(3) + 3 ???

PLEASEE HELP !! i have to turn it in by 10:20

Answers

Answer:

9 & 12

Step-by-step explanation:

For the first box you multiply 2x3 which would give you 6 and then you would add 3 and that would give you 9.

For the second box you would multiply 2x4 which would give you 8 and then you would add 4 and that would give you the final pruduct of 12.

PLS HELP 30 ISH POINTS

Answers

Answer:

this is my alt, btw. I'm taking these points back from myself before they get stolen

The perimeter of a square can be found using P=n+n+n+n, where n is the length of che side of the square. Which equation could also be used to find the perimeter of a square?​

Answers

I don’t know how to do this

Solve x/-4 > 8

1. x > -2
2. x < -32
3. x < -2
4. x > -32

Answers

Answer:

x<-32

Step-by-step explanation:

I hope this helped have a good night


Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

(-2, -11) & (3, 9)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(9 - (-11)) / (3 - (-2))

Simplify the parentheses.

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 4(3) + b

To find b, multiply the slope and the input of x(3)

9 = 12 + b

Now, subtract 12 from both sides to isolate b.

-3 = b

Plug this into your standard equation.

y = 4x - 3

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -11).

y = 4x - 3

-11 = 4(-2) -3

-11 = -8 - 3

-11 = -11

Your equation is correct.

Hope this helps!

PLEASE ANSWER what is the area of a circle with a radius of 5 inches? use 3.14 for π Enter your answer as a decimal in the box.​

Answers

if you times the two questions the answer is 1.5700 I hope this helps because I'm not that good at math! :)


Find the exact value of x.

Answers

48^2 + x^2 = 50^2

2,304 + x^2 = 2500

2,304 - 2,304 + x^2 = 2500 - 2304 (Subtract both sides by 2,304)

x^2 = 196

x = 14

Hope this helps!

Solve for the value of x

Answers

Answer:

i think 6 is ans

hope u like it

if 8 men can build a house in 90 days, in how many days can 20 men working under the same rate build the house?​

Answers

It will take 36 days for 20 men to complete the building

find the measure of side b

Answers

Answer:

227in

Step-by-step explanation:

260 * cos(29 degrees) = 227.401

-4/9 times (-2) its really hard and i just dont know the answer

Answers

The answer is: -2
First divide
Then multiply

Jasmine gets paid $150 each week and $55 for every laptop that she sells. Write and equation that represents her weekly income.

Answers

Answer:

If x represents the number of laptops sold and y represents the total weekly income, our equation would be y = 55x + 150

Answer:

Step-by-step explanation:

Every week, the given or set in stone amount of money she receives $150. So automatically, the first part of the equation is 150x, because x represents the number of weeks, and 150 is $150. So for instance, if she works for two weeks, she will earn $300. Anyway, she has an additional amount of money she gets, which is $55 for every laptop she sells. This isn't a set in stone amount of money. She might not always earn the extra $55, because she might not sell a laptop for a certain week. So, the final equation would be 150x+55. Hope this helped :)

What is the value of the expression below when y=
4 and z=
= 4
5y+7z

Answers

Answer:

48

Step-by-step explanation:

Can Somebody SOLVE THIS!!!

Answers

Answer:

C

Step-by-step explanation:

Substitute t = 5.5 into h(t) , that is

h(5.5) = - 16(5.5)² + 128(5.5) = - 484 + 704 = 220 ft → C

Please help me I need to get this right asap

Answers

Answer:

B

Step-by-step explanation:

Answer the photo below thanks
Please explain your answer

Answers

Answer:

Step-by-step explanation:

so remember that volume of rectangular prism is

base X width X height

=10.4X5X8=416

add units

416mm

pl give brainly

8th grade math, please help.

Answers

Answer:

49

Step-by-step explanation:

180-131

Answer:

45°

Step-by-step explanation:

Here, since m||n, 131°+x=180°

x=180-131

x=49°

What is the difference between an isosceles triangle and a scalene triangle. (Isn't it that the isosceles triangle has 2 equal sides while the scalene triangle doesn't have any equal sides?)​

Answers

Answer:

An Isosceles has 2 equal sides of the same length while a Scalene triangle doesn't have any equal sides

Step-by-step explanation:

Plz mark me as Brainliest and say "Thanks!" on my profile!

Answer:

isoscelese has two equal sides. it can be a right, obtuse, or acute triangle.

scalene has no equal sides with the same length.

Step-by-step explanation:

3x+18x+5x-2=180
what is the angle measurement for:
3x,18x,and 5x,-2?

Answers

Answer:

3x = -18 (x = -6)

18x = 108 (x = 11)

5x = 90 (x = 18)

Step-by-step explanation:

Hi guys can you answer my math question​

Answers

Answer:

Any 3 trinalges

Step-by-step explanation:

total triangles= 9

1/3 of 9 = 1/3 x 9 =  3

So, shade 3 triangles

I hope im right!1

Step-by-step explanation:

There are total 9 parts of the triangle

⅓ of 9 is 3.

Therefore shade any 3 parts.

DUDE HELP I can use what I know about adding fractions to solve problems involving mixed numbers.

A.
strongly agree

B.
agree

C.
disagree

D.
strongly disagree

Answers

Answer:

C. Disagree

Explanation:

Because when you're adding mixed fractions, you don't just make them/find there denominator's equivalent/LCM and them, you have to first convert them to improper fractions.

Hope this helps

2. 252 - 200 – 8 x 5 = 247
Insert parenthesis to make the answer true

Answers

um hmu umumum mum um

A population of 55 foxes in a wildlife preserve quadruples in size every 11 years. The function y equals 55 times 4 Superscript x​, where x is the number of 11​-year ​periods, models the population growth. How many foxes will there be after 33 ​years?

Answers

Answer:

Step-by-step explanation:

55*4^(33/11) = 55*4^3 = 55*64 = 3520

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