A linear sequence starts a + 2b, a + 6b, a+10b
The 2nd term has value 8 and the 5th has value 44
Work out the values of a and b

Answers

Answer 1

Answer:

a = -12

b = 3

Step-by-step explanation:

second term = a + 6b

to find the 5th term, notice the pattern (since this is a linear equation, each term increases by the same amount) and each term increases by 4b: 2b -> 6b -> 10b.

therefore, the 4th term would be a+14b and the 5th would be a+18b

so a + 6b = 8

and a + 18b = 44

u now have two simultaneous equations, which can be solved through substitution or elimination. I'm gonna use elimination because it's quicker in this case:

[tex]a + 6b = 8\\- (a + 18b = 44)\\ -12b = -36\\b = 3[/tex]

steps: (since the a would cancel out by subtracting, subtract then solve for b. divide by -12 on both sides to isolate the b)

now that u know the value of b, substitute it into an equation to solve for a:

a + 6b = 8

a + 6(3) = 8

a + 24 = 8

a = 8 - 24

a = -16

hope this helps!


Related Questions

i need the answer fast ill give brainliest

y=___

Answers

this topic is trigonometry right?

If jon had 2,881 and tia had 4,163 how much more money tia has then jon

Answers

Answer:

Tia has $1,282 more than Jon

Step-by-step explanation:

4,163-2881 = 1282

Tia has $1,282 more than Jon

Answer:

1282

Step-by-step explanation:

Help assssaaaaaaap please

Answers

Answer:

f(x) = 165 * x + 3

PLEASE HELP MEE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a b c

plz give branliest

Step-by-step explanation:

Answer:

the first answer choice and the 3rd one down.


[tex] \frac{p}{ - 8} + 9 > 13[/tex]
closed circle or open circle?​

Answers

is the answer open circle?

Open circle because it’s not equal too


Can somebody help me? Preferably with working out if possible

Answers

Answer:

d = 9

Step-by-step explanation:

Given

1 = [tex]\frac{1}{3}[/tex] d - 2 ( multiply through by 3 to clear the fraction )

3 = d - 6 ( add 6 to both sides )

9 = d

Answer:

d=9

Step-by-step explanation:

First we can do same to both side by adding 2 to both sides:

1=1/3d-2

+2     +2

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

3 = 1/3d

Then to get the d on its own, we multiply each side by 3

3=1/3d

*3    *3

---------

9=d

Our final answer is 9

If you can help me, I would be very happy.

Answers

Answer: 116 round that to the nearest hundreth.  

I hope this helped you well.

HOW MANY TIMES DOES 6 GO INTO 25

Answers

Answer:

25/6 = 4 with a remainder of 1

Answer:

the answer is

25÷6=4.1 because it is

I need help getting the answer

Answers

Answer:

Step-by-step explanation:

The center is at (2,-7). The radius is 2.

(x-2)² + (y+7)² = 2²

Two families went to the movies. The Davis family paid $39 for 2 adult
tickets and 3 student tickets. At the same theater, the Tyler family paid $23
for 1 adult ticket and 2 student tickets. What is the price of a student
ticket?

Answers

Answer:

$7

Step-by-step explanation:

Let a be the price of the adult ticket and s be the price of the student ticket

That means that:

2a+3s=39

and

a+2s=23

Using elimination

-2(a+2s=23)

-2a-4s=-46

-2a-4s=-46

2a+3s=39

Eliminate a:

-s = -7 ; s = 7

I probably made this so much more complicated than it should be but...

what is the slope of a line parallel to the line who's equation is 5x-y=-9?​

Answers

Answer:

5

Step-by-step explanation:

the slopes will be the same if they are parallel

reagrange the equation to find the gradient

5x-y = -9

y= 5x+9

gradient = 5

What is the interest earned of 600$ at 5% for 2years

Answers

Simple interest , I, is calculated by multiplying the principal, P, by the rate,r, by the time, t, in years:

I = P * r * t

Here, P = $600

r = 0.05 (decimal value for 5%)

t = 2 years

Part a)

The interest earned will be:

I = P * r * t

I = 600 * 0.05 * 2

I = $60  

Part b)  

The balance in the account will be $600 plus the interest earned or:

$600 + 60 = $660

Answer:

$60 interest

Step-by-step explanation:

divide 5 by 100 = 0.05

multiply 0.05 by 600 = 30

then multiply 30 by the number of years (2) 30×2= 60

60 dollars interest

I think

a polynomial function with rational coefficients has the given roots. find two additional roots -2i and square root of 10

Answers

Answer:

(-2)(100) or 10^2 is 100

Step-by-step explanation:

(x -2)(x+100) =x

Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).

What is conjugate of complex number?

" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where  real parts remain same only imaginary part  get changed with opposite sign."

Theorem used

Conjugate Root theorem

Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi  with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).

According to the question,

Two given roots of polynomial function with rational coefficients are -2i and √10.

As per Conjugate root theorem,

Here one root is 0 - 2i then other root is its conjugate 0 + 2i

Also one root is 0 + √10 then another root is 0 - √10.

Therefore, two additional roots are 2i and -√10.

Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and   (- √10).

Learn more about conjugate of complex number here

https://brainly.com/question/18392150

#SPJ2

what is x in this equation |x−2| – 7 = –3

Answers

Answer:

6

Step-by-step explanation:

Hope this helps

HELP ASAP PLS PLS PLS

Answers

Answer: vertical

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

e MULTIPLE CHOICE QUESTION Now what does it look like after the next step? (hint: PEMDAS)​

Answers

Answer: Multiplication

Step-by-step explanation: The M in PEMDAS stands for Multiplication

help me please I don't understand this lesson​

Answers

A. CPCTC (congruent parts of congruent triangles are congruent)

How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide

Answers

Answer:

because since the question is 639 / 6

we immediately know that 600 / 6 is 100

639 / 6 = 106.5

Answer:

You just need a little conversion to get the answer.

[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]

si el radio de la base de este cilindro es de 15cm y su altura es de 18cm ¿cual es el volumen del cilindro?

Answers

el volumen del cilindro es:
v= 3.1416x(15cm) ^2x18cm
v= 12723.48cm^3

8/m=6/15
use cross multiplying

Answers

Answer: m=20

Step-by-step explanation:

Stephanie is earning simple interest of 3.5% on her money each month. She currently has $1325 in her account. What will her balance be in 5 months?

Answers

Answer:

$1556.88

Step-by-step explanation:

Since Stephanie is earning simple interest and not compound interest, we can multiply her interest rate for each month by how many months we are calculating for.

0.035 x 5 = 0.175

Then multiply that by her current balance but change the 0 in front of the 0.175 to a 1 to reduce the number of steps we have to take. (It automatically adds what is earned in interest to her current balance.)

1.175 x 1325 = 1556.875

What are two points that represent Justine's function for the yards left to hike in terms of the hours she's spent hiking?

Answers

Answer:

(0,320) and (4,0)

Step-by-step explanation:

The question has missing details. So, I've added the complete question as an attachment.

From the question, we understand that:

Justine started when Michael was 320 yards from the top.

This coordinate can be represented as (0,320)

0 represents the time Justine started and 320 represents the number of yards left.

Every minute, Justine covers 80 yards.

This implies that:

At 1 minute, Justine will have: (320 - 80) yards left

At 2 minutes, Justine will have: (320 - 80 - 80) yards left

At 3 minutes, Justine will have: (320 - 80 - 80 - 80) yards left

At n minutes, Justine will have (320 - 80n) yards left

So, possible coordinates are:

[tex](x_1,y_1) = (0,320)[/tex]

[tex](x_2,y_2) = (1,320-80*1) = (1,240)[/tex]

[tex](x_3,y_3) = (2,320-80*2) = (2,160)[/tex]

[tex](x_3,y_3) = (3,320-80*3) = (3,80)[/tex]

[tex](x_4,y_4) = (4,320-80*4) = (4,0)[/tex]

Answer:

Select any two pairs of values from the given table. But, for simplicity, it’s a good idea to select coordinates with integer values. So, two points that represent Justine’s function for the yards left to hike in terms of the hours she’s spent hiking are (1, 270) and (2, 150).

Step-by-step explanation:

Sample Answer

For Exercises 1 and 2, write and solve an equation to find each missing length. Round to the nearest tenth if necessary. An observer is standing 30 feet from a flagpole. She is looking at the top of the flagpole. How tall is the flagpole? Round to the nearest tenth if necessary.

Answers

Answer:

21.65 feets

Step-by-step explanation:

First we obtain the angle of elevation :

Using Pythagoras rule :

Cosθ = adjacent / hypotenus

Cos θ = 30 / 37

θ = cos^-1(30/37)

θ = 35.82°

Hence, height of flagpole :

Sin θ = opposite / hypotenus

Sin θ = x / 37

Sin(35.82) = x / 37

0.5853083 * 37 = x

x = 21.65 feets

Height of flagpole = 21.65 feets

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
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Answers

Answer:

Answer: B

Step-by-step explanation:

does not show up on graph

need help on this !!!!!

Answers

Answer:

17

Step-by-step explanation:

Remark

In this formation, the chords cut each other so that

Equation

(3x - 1) * 3 = 12*(x -2)        Remove the brackets.

Solution

9x - 3 = 12x - 24                       Add 24 to both sides.

9x - 3 + 24 = 12x - 24 + 24      Combine

9x + 21 = 12x                            Subtract 9x from both sides

9x - 9x +21 = 12x - 9x

21 = 3x                                     Divide by 3

21/2 = 3x/3              

7 = x

Find QR

QR = 12 + x - 2

QR = 10 + 7

QR = 17

Mr tan saves 960$ a month. He wants to go to a holiday that costs 4200 $. What is the least no.Of months will take to save for the holiday

Answers

Answer:

If he has no other expenses, 5

Step-by-step explanation:

4200/960

five, if you round up

4.375

CAN SOMEONE PLEASE HELP THIS IS DUE AT MIDNIGHT (I’ll give brainlist)

Answers

Answer:

d° = 62°

e° = 90°

f° = 27°

g° = 27°

h° = 118°

j° = 62°

k° = 63°

Step-by-step explanation:

The relationship between the given angles are;

k° = 63° (Vertically opposite angles)

63° + f° = 90° (Given complementary angles)

∴ f° = 90° - 63° = 27°

f° = 27°

g° = f° (Vertically opposite angles)

∴ g° = f° = 27°

g° = 27°

e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)

∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°

e° = 90°

h° = 118° (Vertically opposite angles)

118° + d° = 180° (The sum of angles on a straight equals 180°)

∴ d° = 180° - 118° = 62°

d° = 62°

j° = d° (Vertically opposite angles)

∴ j° = d° = 62°

j° = 62°

What is 4(b + 2), if b = 7?

Answers

Answer:

the answer would be 36

Step-by-step explanation:

hoped I helped:)

Answer:

Hey mate....

Step-by-step explanation:

This is your answer....

= 4×7+2

= 28+2

= 30

Hope it helps you....

Mark me as the brainliest....

FOLLOW ME....!!!!!!

(Algebra) What is the lowest common denominator of 3/8x and 5/18x?

Answers

Answer: 3/8x

To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple of the denominators. This number is same as the least common denominator .You can then write each term as an equivalent fraction with the same LCD denominator.

if i had 2 cats and my mom bought me 4 dogs how many animals is that in total​

Answers

Answer:

2 cats + 4 dogs = 6 animals in total.

:)

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