What is a formula for the nth term of the given sequence? 54, -36, 24...​

Answer:

p is -5

Step-by-step explanation:

If a polynomial 2x³-9x² +15x +p is divided by (x-2), then the remainder is gotten by equating the divisor x - 2 to zero

If x - 2 = 0

Add 2 to both sides

x - 2 + 2 = 0 + 2

x = 2

Substitute x = 2 into the expression to get the remainder:

If p(x) = 2x³-9x² +15x +p

p(2)= 2(2)³-9(2)² +15(2) +p

p(2) = 2(8) - 9(4) + 30 + p

p(2) = 16-36+30+p

p(2) = -20 + 30 + p

p(2) = 10+p

Since the remainder given in question is - p, to get p, we will equate p(2) to -p as shown

p(2) = -p

10+p = -p

10 = -p-p

10 = -2p

p = 10/-2

p = -5

Hence the value of p is -5

Answer:

So you have a summation of 4 terms

An Easy way to do this is to simplify the process:

You need X1+X2+X3+X4 to equal 214

Let the first number be 80

80+X2+X3+X4

Let X2 and X3 be 60 each

80+ 60+ 60+X4

Lastly we are at a sum of 200

So let X4 be 14

Therfore we have a sum of 4 X terms equal 214

Answer:

I think the answer is 12 = 100

Step-by-step explanation:

since 9 = 80 and that is the same for 11, if you do 180 - 80 = 100 which would be the answer for 10 and 12. Thus 12 = 100 based on the info given.

Hope this helps  :)

Answer:

6 times.

Exclamation:

You can do 15 divided by 2,50 to get you answer, when you do that you get 6.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer:

where is it?

Step-by-step explanation:

good luck have a good life

Answer: yes

Step-by-step explanation:

Answer:

yes,no,no,yes

Step-by-step explanation:

Answer:

square is the answer for this question

Answer:

For the first one, 29,000 s, 29,500 s, and 29,999 s.

For the second one, no because the bookcase is taller than the doorway.

Oof hope I'm correct and was able to help <3

Answer:

4.0 hope this helps!!6

Answer:

[tex]\boxed{(f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n}[/tex]

.

Step-by-step explanation:

We know that

[tex]f(n) = n^3 - 2n[/tex]

[tex]g(n) = 2n + 2[/tex]

.

So

[tex](f~.~g)(x) = f(n)~.~g(n)[/tex]

[tex](f~.~g)(x) = (n^3-2n)(2n + 2)[/tex]

[tex](f~.~g)(x) = n^3(2n + 2) - 2n(2n + 2)[/tex]

[tex](f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n[/tex]

Answer:

2jj2j wnqj qkwk abaia aow w wka a9w wjw a8uaaia sks sis s8siwobsisi shkahza a

Step-by-step explanation:

bs ak la ya s dyua youa au ab fusn aigska

Answer:

25

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

Answer: Divide both sides by the numeric factor on the left side, then solve.

Exact Form: x= −83/2

Answer: x = -41.5

Step-by-step explanation:

Distribute the 4 that is outside of the parentheses.

4 times x = 4x

4 times -11 = -44

Then to isolate the variable add 44 to both sides of the equation to cancel out -44.

-44 + 44 = 0

-210 + 44 = -166

Now your equation should 4x = -166

To find x, divide both sides of the equation by 4.

4x divded by 4 is x.

-166 divded by 4 is -41.5.

So the answer is x = -41.5.

To check the answer, plug in -41.5 to the x.

4(-41.5 - 11) = -210

Answer:

1. =     (all numbers powered by zeros are 1)

2. >    (the smaller the number gets when a number powers a fraction)

3. >    (-5)^2 will equal 25 but -5^2 will equal =25

Answer:

1. =

2. >

3. <

Step-by-step explanation:

2.5^0 = 1

1.5^0 = 1

(1/3)^4 = 0.0123

(1/3)^5 = 0.0041

5^1 = 5

-5^2 = 25

hope this helps. i am in algebra two so you can trust my answer. Happy Holidays! stay safe

Answer:

f (x) = 2x² + 6x - 20

Brainliest Please!!!

Answer:

5*10^-1

Step-by-step explanation:

4x-4+X+5

4x+X+5-4

5x-1

X=5*10^-1

I hope it useful I just woke up haha

Answer:

The answer would be x= C+K/ 4

Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms

Step-by-step explanation:

Answer:

Item B

Step-by-step explanation:

A:

density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3    

This may be platinum.

B.

density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3

This cannot be pure platinum.

C.

density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3

This may be platinum.

Answer: Item B

Answer:

There are 18 dimes in the jar

Step-by-step explanation:

Let

x = number of dimes in the jar

y = number of quarters in the jar

Total = $3.80

There are ten less quarters than dimes

y = x - 10

0.1x + 0.25y = 3.80

0.1x + 0.25(x - 10) = 3.80

0.1x + 0.25x - 2.5 = 3.80

0.35x = 3.80 + 2.5

0.35x = 6.30

x = 6.30/0.35

x = 18

Answer:

Adult ticket = $4,5

Student ticket = $3

.

Step-by-step explanation:

Let say adult ticket is x and student ticket is y. so we get:

→ 8x + 13y = 75 (×5) 40x + 65y = 375

→ 10x + 9y = 72 (×4) 40x + 36y = 288

.

Eliminate both equations

40x + 65y = 375

40x + 36y = 288    

29y = 87

[tex]y = \frac{87}{29}[/tex]

[tex]y = 3[/tex]

.

Substitute the value of y to one of equations

[tex]10x + 9(3) = 72[/tex]

[tex]10x + 27 = 72[/tex]

[tex]10x = 72 - 27[/tex]

[tex]10x = 45[/tex]

[tex]x = \frac{45}{10}[/tex]

[tex]x = 4,5[/tex]

.

Happy to help :)

Answer:

iwiwjjwjwjwjbba abaha ajajaj ajaj

Step-by-step explanation:

wjis sisi sjaijs aibaia aihwoh ha ajj w

Answer:

25$

Step-by-step explanation:

7.50$ divided by 3 is 2.50$. then 2.50$ times 10 is 25$

Answer:

75$

Step-by-step explanation:

because you multiply 7 x 10 and that equals 70$ and then multiply .50 x 10 and that equals 5$ so 70$ plus 5$ equals 75$

Answer:

Step-by-step explanation:

Exterior angle measure is equal to the sum of non-adjacent interior angles

21..................................................

22..................................................

Answer:

oop xc

Step-by-step explanation:

You can simplify fractions between powers of the same base as follows:

[tex]\dfrac{a^x}{a^y}=a^{x-y}[/tex]

So, in your case, you have

[tex]\dfrac{3^4}{3^2}=3^{4-2}=3^2=9[/tex]

Answer:

0.36

Step-by-step explanation:

Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case

From the above question:

1 pack = 1/12 of a case.

1/12 of a case = 1 pack

1 case = x packs

Cross Multiply

1/12 × x = 1 × 1

x = 1 / 1/12

x = 1 × 12/1

x = 12 packs

This means, 1 case of drinks contains 12 packs of drinks

We are also told that: a case of the drink cost 25.92

This means the cost of 12 packs of drinks = 25.92

We are also told that:

a bottle is 1/6 of pack

1/6 pack = 1 bottle

1 pack = x bottles

Cross Multiply

1/6 × x = 1 × 1

x = 1 / 1/6

x = 1 × 6/1

x =6 bottles

This means, 1 pack of drinks contains 6 bottles of drinks

Hence:

12 packs of drinks = 25.92

1 pack of drinks = x

Cross Multiply

12x = 25.92

x = 25.92/12

x = 2.16

1 pack of drinks cost 2.16= 6 bottles of drinks cost 2.16

Therefore:

6 bottles of drinks = 2.16

1 bottle of drink = x

Cross Multiply

6x = 1 × 2.16

x = 2.16/6

x = 0.36

Therefore, the price per bottle in a case is 0.36

The correct equation for this given condition is;

⇒ s = $56 + $4w

Where, 's' is amount of savings and 'w' is number of weeks.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Francisco is saving money in an account.

The savings amount = $56

And, Put in another $4 per week.

Now,

Let number of weeks = w

And. Total amount in saving amount = s

So, We can formulate;

⇒ s = $56 + $4w

Thus, The correct equation for this given condition is;

⇒ s = $56 + $4w

Where, 's' is amount of savings and 'w' is number of weeks.

Learn more about the linear expression visit:

https://brainly.com/question/12788590

#SPJ2

Answer:

5/9

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

To calculate a percentage, divide the smaller number into the larger one. 36 ÷ 40 = 0.9, which is equal to 90%.

Answer:

60% passed the test

Answer:

[tex]\huge\boxed{\sf -\frac{2}{9} }[/tex]

Step-by-step explanation:

[tex]\sf \frac{\frac{2}{3}-\frac{5}{6} }{\frac{3}{4} } \\\\= \frac{\frac{2(2)-5}{6} }{\frac{3}{4} } \\\\= \frac{\frac{4-5}{6} }{\frac{3}{4} } \\\\= \frac{-1}{6} / \frac{3}{4} \\\\= \frac{-1}{6} * \frac{4}{3} \\\\= -\frac{1*4}{6*3} \\\\= -\frac{1*2}{3*3} \\\\= -\frac{2}{9} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

The area of Marlien's living room is 420 square ft

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

[tex]2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2[/tex]

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft