Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer 1

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer 2

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)


Related Questions

if f(x)=x/2-2 and g(x)2x^2+z-3, find (f+g)(x)

Answers

Answer:

Step-by-step explanation:

f(x)=3x + 4. (6) g(x) = x2 +. 1 x.

What is the CONJUGATE of the expression -3 - 4i ?
What is the absolute value of -3 - 4i?
with calculations

Answers

[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]

equivalent to -36 - 8

Answers

Answer:

-44

Step-by-step explanation:

Answer: -44

Step-by-step explanation: same as 36 + 8 and make the answer negative.

Perform the indicated operation.
-274 -9
I need help

Answers

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

Graph the function f(x)=1/2x+1

Answers

Answer:

See attached graph.

Step-by-step explanation:

Please help if you could.

f/2 + 9 = 4
-9 -9
f/2 =

Answers

Answer:

[tex]\frac{f}{2} +9=4[/tex]

Subtract 9 from both sides:

[tex]\frac{f}{2}+9-9=4-9[/tex]

[tex]\frac{f}{2} =-5[/tex]

Multiply both sides by 2:

[tex]2*\frac{f}{2} =-5*2[/tex]

[tex]f=-10[/tex]

help meeeee points on the line help

Answers

Answer:

4(7+6)

Step-by-step explanation:

first find GCF

prime factorize

28= 2*2*7 24=2*2*2*3

only common factor is 2

there are at least 2 2s in each

apply

4(7+6)

which of the following values are solutions to the inequality 9≤3x+4​

Answers

Answer:

x≤5/3

So any number at 5/3 or above is a solution

Step-by-step explanation:

Subtract 4 on both sides:

5≤3x

Divide 3 on both sides

x≤5/3

So any number at 5/3 or above is a solution

Hope this helps!

which is not a property of the sides of a rectangle?

Answers

Answer:

A rectangle doesn't have equal sides

Both sides are not equal

solve for :
a_2=2(a_2+1) ​

Answers

Step-by-step explanation:

a_2=2a_4+2

a=_2+4_2

a=0

Cual es el decimal de 19,87×7,8

Answers

Answer:

92568

Step-by-step explanation:

I think............

Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since

Answers

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?

Answers

Answer:

See below

Step-by-step explanation:

Given function:

h(t) = -16t² + 64t + 6

a)

The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:

t = - 64/2*(-16) = 2

It takes 2 seconds

b)

Maximum height is at vertex:

h(2) = -16(2²)  + 64(2) + 6 = 70 yd

c)

The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:

2*2 = 4 seconds

The receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.

Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.

A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.

Question 1
Part A

What is the unit rate of parts iron to parts carbon?

Enter the correct answer in the box.

parts iron per part carbo

Answers

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equation representing the given statement is ~

[tex]50x + 330 \geqslant 820[/tex]

The least number of lawns that he can cut and buy the computer is 10 lawns ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

50x

total savings is equal to ~

330 + 50x

hence,

[tex]50x + 330 \geqslant 820[/tex]

by solving for " x (number of lawns cut) " we get ~

[tex]50x \geqslant 820 - 330[/tex]

[tex]50x \geqslant 490[/tex]

[tex]x \geqslant 490 \div 50[/tex]

[tex]x \geqslant 9.8[/tex]

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

[tex]10[/tex]

A store-bought 400 toys at a cost of ​$10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.

Answers

Answer:

Step-by-step explanation:

38+105= 143, 39+104=143, and you will find then adding the numbers

Find the distance from the point A(2,−1) to the line y = −x+4. Round your answer to the nearest tenth.

Answers

Answer: um i think 300

Step-by-step explanation:

3x4y=-2
9x-10y=38
elimnation method

Answers

Answer:

x = 2

y = -2

Step-by-step explanation:

N.B. Assuming the first equation is actually 3x + 4y = -2

The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.

First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.

3(3x + 4y) = 3(-2)

Then, you are left with this.  Simply subtract the equations.

9x + 12y = -6

9x - 10y = 38

0  + 22y = -44

Then, simply solve

y = -2

9x + 20 = 38

9x = 18

x = 2

Hope it helps :) and let me know if you want me to elaborate.

“You decide to go Black Friday shopping, and notice a new video game has a discounted price of $30.25. This is a discount of 45% off the original price of the video game. Write an algebraic equation to determine the original price of the video game and solve it.” what is the answer?

Answers

Answer:

30.25 * .45% + 30.25

Step-by-step explanation:

30.25*.45 = 13.61

30.25+13.61 = 43.86

Help pls ?? I just need this one question ):

Answers

Answer:

9 should be the greatest common factor. (I think) because 3b² =9b

12b⁴=48b

Answer:

3*(4b^4-b^2)

Step-by-step explanation:

you are looking for the greatest number who can be divided by the number(3) and the other number(12) , the greates common factor here is 3

and then take out the 3

so 3*(4b^4-b^2)

Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.

Answers

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

What is the value of a if 5a = 1/125

(It’s not 1/625)

Please answer!!

Answers

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

what are the coordinates of the point 2/3 of the way from A to B? A (-5,-5). B(7,8)

Answers

In my opinion I think it’s A

What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.

Answers

Answer:

200 cubic centimeter

Step-by-step explanation:

Answer:

201.1 cc

Step-by-step explanation:

r = d/2

v = πr^2 h

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

r = 4/2

r = 2

v = π * (2^2) * 16

v = 3.14159 * 4 * 16

v = 201.06176

Rounded

v = 201.1 cc

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

note:

if 3.14 is used for π

v = 200.96

which rounds to

v =201.0

1 4/7 divided by 3 2/3

Answers

[tex] \frac{3}{7} \\ \\ in \: \: alternate \: \: form \\ \\ 0.428571[/tex]

hope it helps

see the attachment for explanation

Please solve step by step

Answers

Please report the picture, it is cut off :)

Answer:

Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]

Step-by-step explanation:

7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]

= 6[tex]x^{2}[/tex] + 3x

= 3x ( 2x + 1 )

Hopefully this helps.

3-(1/3) to the fourth power

Answers

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

Evaluate the expression:

2/3-1/4+(-5/6)

Answers

Answer:

[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]

[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]

[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]

[tex] \\ = \frac{8 - 13}{12} [/tex]

[tex] \\ = \frac{ - 5}{12} [/tex]

Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality. True or False and i will brainly list if correct

Answers

Correspondence theories claim that true beliefs and true statements correspond to the actual state of affairs.

Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

The regular price of a code is $32 it is on sale at 25% off the sales tax is 6.5% what is the final cost of code

Answers

Answer:

$25.56

Step-by-step explanation:

first find the discount

32 • 0.25 = 8

32 - 8= 24

find the tax

24 • 0.065 = 1.56

24 +1.56 = 25.56

so the final price is $ 25.56

Answer:

25.56

Step-by-step explanation:

25% of 32= 8

32-8= 24

6.5% of 24= 1.56

24+1.56= 25.56

I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!

Other Questions
4(-8x+5)-(-33x-26)=[tex]4(-8x+5)-(-33x-26)=[/tex] Please help Ill mark u as brilliant find the inverse of the function F(x)=x-3 Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, T(x) 4 7.50 6 9 9 11.25 10 12 Which of sections represent state-level courts? D, E, F OBE OA, B, C QA F To prepare 250.0 mL of 2.5 M KCl you will need to dilute _____ mL of 8.0 M KCl solution to a volume of 250.0 mL. place each of the labels in the proper position to denote whether they would pass through the filtration membrane or not. I need the answer FAST Whats the slope or fraction? What is the slope?Simplify your answer and write it as a proper fraction, improper fraction, or integer. What is the tapered finish line of the margin at the cervical area of a tooth preparation? A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made Please find the correct answer I will give brainliest and 4 stars. how old do you have to be to get a smiley piercing Activity 4 - Accomplishing the Scoring Card Direction: Evaluate yourself by checking the appropriate boxes to indicate the degree of competency in nail care tools and equipment.pls help guys:-( Which of these sentences uses commas correctly? *1 pointThe man said he grew up in Richmond, Virginia, and would like to go back.The man said he grew up in Richmond, Virginia and would like to go back.The man said he grew up in Richmond Virginia and would like to go back.The man said, he grew up in Richmond, Virginia, and would like to go back. Is this title good for my essay about hobbies My Top favorite hobbies that I enjoy Matthew poured 28 quart of lemonade from a pitcher into a smaller container. There was 58 quart left in the pitcher. What amount of lemonade did Matthew originally have in the pitcher? A frameshift mutation that results in the insertion of three nucleotides is often less deleterious than a mutation that results in the insertion of one nucleotide. Why? PLEASE HELP AD EXPLAIN WELL!