How much must be added to each of the three number 1, 11, and 23 so that together they form a geometric progression?

Answers

Answer 1

Answer:

49

Step-by-step explanation:

Let the three numbers be a1, a2, a3

Let the number to be added to form a geometric progression = x

a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x

For a geometric progression :

a2 = a1 * r

a2 = (1+x)r

11+x = (1+x)r - - (1)

r = (11+x) / (1+x) ---(1)

a3 = a2 * r

a3 = (11+x)r

23+x = (11+x)r - - -

r = (23+x) / (11+x) - - (2)

Equate (1) and (2)

(11+x) / (1+x) = (23+x) / (11+x)

(11+x) * (11+x) = (23+x) * (1+x)

121 + 22x + x² = 23 + 24x + x²

121 + 22x + x² - x² - 24x - 23 = 0

98 - 2x = 0

-2x = - 98

x = 98 / 2

x = 49


Related Questions

Help with this plz ASAP

Answers

Answer:

slope is 2 rise, 1 run

-4 is the y intercept

y= 2/1 + -4

Step-by-step explanation:

I hope I wasn't helping I cheat ;-;

u can check this over later

1/3 (x – 10) = -4, x =

Answers

Answer:

Step-by-step explanation:

Divide both sides by 1/3, which is equivalent to mulitplying by 3

x - 10 = -12

Add 10 to both sides

x = -2

PLEASE HEKLPP
IF ITS RIGHT ILL GIVE BRSAINLIEST

Answers

Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

f(-1) = 4(-1)² - 1

f(-1) = 4(1) - 1

f(-1) = 4-1

f(-1) = 3

so

h(f(-1)) = h(3)

now substitute h = 3 in the function h(x) = 2(x - 4)³

h(x) = 2(x - 4)³

h(3) = 2(3 - 4)³

h(3) = 2(-1)³

h(3) = 2(-1)

h(3) = -2

Thus,

h(f(-1)) = h(3) = -2

Hence, we conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Which expression represents 5-3(-4n + 2) + 8n in simplest form?

Answers

Answer:

20n-1

Step-by-step explanation:

you really just multiply and get the like terms yk

Joe bought g gallons of gasoline for $2.65 per gallon and c cans of oil for $3.45 per can. a. What expression can be used to determine the total amount Joe spent on gasoline and oil? b. If he bought 8.4 gallons of gasoline and 9 cans of oil, how much did he spend in all?​

Answers

Step-by-step explanation:

PART A

a=total amount

c=cans of oil

g=gasoline

a=2.65g+3.45c

PART B

a=2.85(8.4)+3.15(6)

a=23.94+18.90

a=42.84

Hope that helped =)

Ava has a collection of 200 coins. How many coins represent 5% of her collection?
Please help me out

Answers

Answer:

[tex]10 coins[/tex]

Step-by-step explanation:

[tex]5\%[/tex] is equal to [tex]0.05[/tex] which is just [tex]5 per 100[/tex]. In the number [tex]200[/tex], there are 2 hundreds, so the answer would be 10 (coins that represent [tex]5\%[/tex] of her collection. You could also do [tex]0.05×200=10[/tex].

1/2 x 1/7? Pls help me!!!!

Answers

Answer:

0.07142857142

Step-by-step explanation:

1/14
Is the answer,your welcome

Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!

Answers

hi, did you attach the picture for it?

Hank is thinking of a number. If he multiplies his number by
seven and then adds 10, he gets 59. What is Hank’s number?

Answers

hank is thinking about 7
(7x7)+10=59
7x7=49+10=59

Barrel A and Barrel B are the same size. Barrel A is filled with a solution that is 12% ethanol. The portion of ethanol in the solution that fills Barrel B is 0.3. How many times more ethanol is in Barrel B than Barrel A???? id k

Answers

Answer:

the answer is 12 because it sythsizes from the other part of the problem

Step-by-step explanation:

Use the bar graph to answer the question.



What was the third most favorite communication method chosen?



Question 2 options:

A.cell phone call

B.e-mail

C.instant message

D.cell phone text

Answers

Answer:

A

Step-by-step explanation:

the graph shows It's the 3rd tallest

which of the following could be points on the unit circle?

Answers

Answer:

Step-by-step explanation:

In each case, square the coordinates of the point and determine whether or not the sum of these squares is 1:

A)  4/9 + 5/9 = 9/9  YES

B)  1 + 1 = 2 NO

C) 3/4 + 1/9 Not equal to 1.  NO

D) 0.64 + 0.36 = 1.00 YES

HENCE OPTION B(1,1) IS CORRECT

What is unit circle?

A unit circle is a circle with a radius of one, as defined by mathematics. The unit circle is a circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane, which is used frequently in trigonometry.

How to solve?

Clearly from the given options (1,1 ) will lie on the circle , Hence option b (1,1) is correct .

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Please help me with this problems if you want to answer 1 that’s ok I just need help k don’t really understand.

Answers

Answer:

Step-by-step explanation:

1. 120

2saves 52 dollars

3 at normal price its 108 per tire but on sale it will be 95 per tire

Answer:

2) 120 customers per day

3) $13 per tire

Step-by-step explanation:

2) 3600÷30=120 customers per day

3) 216÷2=108

380÷4=95

108-95=$13 per tire

what is 4.059 divided by 10,000

Answers

Answer: 0.0004059

Step-by-step explanation:

4.7 is what percent of 64?Round to the nearest hundredth​

Answers

Answer:3.008

Step-by-step explanation:

T-Mobile has a family plan of four lines $120 additional lines are $10 each per month. If Jason wants to spend at most $175 per month on cell phone expenses, how many additional lines can he afford?

Answers

Answer:

he can afford 5 lines

Step-by-step explanation:

work here if needed

170 - 120 is 55

55 / 10 = 5.5 or 5

Solve 2x=54xˆ(2/3)

Please, I need the step by step working to find the value of x

Answers

Answer:

x = 19683 or x = 0

Step-by-step explanation:

Solve for x:

2 x = 54 x^(2/3)

Hint: | Isolate the radical to the left hand side by reversing the equality.

2 x = 54 x^(2/3) is equivalent to 54 x^(2/3) = 2 x:

54 x^(2/3) = 2 x

Hint: | Eliminate the power on the left hand side.

Raise both sides to the power of three:

157464 x^2 = 8 x^3

Hint: | Move everything to the left hand side.

Subtract 8 x^3 from both sides:

157464 x^2 - 8 x^3 = 0

Hint: | Factor the left hand side.

Factor x^2 and constant terms from the left hand side:

-8 x^2 (x - 19683) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by -8:

x^2 (x - 19683) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 19683 = 0 or x^2 = 0

Hint: | Look at the first equation: Solve for x.

Add 19683 to both sides:

x = 19683 or x^2 = 0

Hint: | Look at the second equation: Eliminate the exponent.

Take the square root of both sides:

Answer: x = 19683 or x = 0

what is the answer i need help

Answers

Answer:

27

Step-by-step explanation:

 add 5+5+7+6+4

Find the missing value need help

Answers

Answer:

-10 +5

its +5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

i just know it

If a retailer has an item that is priced at $3.54 and wants to sell it for 20% less, the markdown will be _____.

Answers

Answer:

KNMOJAO0 GPR5PWQ3]

Step-by-step explanation:

vgjaseh jvgofrAQ vfjswA

Answer:

:)

Step-by-step explanation:

well if u take 3.54 x 20%, you get 0.708 or 70 cents.. so i’m guessing 70 cents.

302.833 rounded to the nearest whole number​

Answers

Answer:

303

Step-by-step explanation:

Step-by-step explanation:

When rounding a decimal to the nearest whole number, we look at the tenths place. If it is {5,6,7,8,9} we round the ones place up. If it is {0,1,2,3,4} the ones place stays the same.

For 302.833, the tenths place is 8.

Therefore we round 302.833 up to 303.

The answer is 303.

Which answer describes the type of sequence?
1, 6, 7, 13, ...
geometric
O arithmetic
neither arithmetic nor geometriC

Answers

I think the answer is arithmetic.
I hope this helps! Be safe out there.
Sorry if I’m wrong

Answer:

neither arithmetic nor geometric

Step-by-step explanation

I got it wrong and assuming they don't have a common ratio/ constant difference  

HELP PLSSSS

Which number best represents the slope of the graphed line?
y
+10
15
-10
-5
5
10
--5
-10
OA. -5
OB.
Ос.
OD. 5

Answers

maybe try -5 since the rise/run is 5/1 and the slope is negative

The slope of the graphed line is m = -5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 2 )

Let the second point be Q ( 2 , -8 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - ( -8 ) ) / ( 0 - 2 )

m = 10 / -2

m = -5

Hence , the slope is m = -5

To learn more about equation of line click :

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What is 4/9 x 5/7 x 1/2

Answers

Answer:

0.16

Step-by-step explanation:

4*5*1=20

9*7*2=126

20/126=10/63

Answer:

10/63

Step-by-step explanation:

First, let's solve 4/9 * 5/7. Multiply the numerator first- 4*5=20. The denominator is 9*7=63. So, this equals 20/63. Now we need to find 20/63 * 1/2. We can cancel out the 2 on the denominator and divide 20 on the numerator by 2. So, you get 10/63 * 1/1, which is 10/63.

Describe the translation needed to obtain the graph of ​g(x)=6^x-9 from the graph of ​f(x)=6^x.

Answers

Answer:

Step-by-step explanation:

I am not sure if you wanted to ask this

f(x) = 6^x becomes g(x)= (6^x ) -9 so it went DOWN 9 units

or this

f(x) = 6^x becomes g(x)= 6^(x -9) so it went RIGHT 9 units

y=1x-1 what would m=

Answers

m is the slope so the slope is 1

Can anyone help me pleaseeee!! I will mark yooo

Answers

Where is the Question?

A rectangular plaque at a historical museum is 5/6 and 2/3 yard wide how much is the plaque longer than it is wide

Answers

Answer:

1/6 yard

Step-by-step explanation:

A rectangular plaque at a historical museum is 5/6 and 2/3 yard wide how

Given data

Length of plaque= 5/6 yard

Width of plaque= 2/3 yard

The difference between the Length and the width is

=5/6-2/3

=5-4/6

=1/6 yard

Hence the Lenght is 1/6 yard longer than the width

Javier works each weekend at an animal shelter. He earns $8 an hour. He is saving his earnings to go on a ski trip that costs $190.

Becca says that Javier must work at least 6 more hours to have enough money to go on the ski trip. Her work is shown below. Choose True or False about each statement

Becca's solution included all of the hours Javier worked on both weekends. (TRUE OR FALSE?)

Javier worked a total of 23 hours on both weekends. (TRUE OR FALSE?)

Javier earns $198 for 24 hours of work. (TRUE OR FALSE?)

Javier only needs to work one more hour to have enough money for his trip. (TRUE OR FALSE?)

Answers

Answer:

Becca's solution included all of the hours Javier worked on both weekends.

Step-by-step explanation:

Javier needs to work at least 6 more hours. He will earn:

6*8 = $48

He has already got:

$190 - $48 = $142

He worked:

142/8 = 18 hours (rounded)

Total he will have worked:

18 + 6 = 24 hours

Answer choices:

Becca's solution included all of the hours Javier worked on both weekends.

TRUE

Javier worked a total of 23 hours on both weekends.

FALSE. 23*$8 = $184 < $190

Javier earns $198 for 24 hours of work.

FALSE. 24*8 = $192

Javier only needs to work one more hour to have enough money for his trip.

FALSE. Becca says 6 more hours required.

A chef has some broccoli, cauliflower, carrots, and squash to make a vegetarian dish. List the possibal combinations if he uses only 3 vegetables in the dish.​

Answers

Answer:

the chef could make a casserole, sou, and veggie burger

Step-by-step explanation:

soup, roasted vegetables, vegetable medley, pan fried vegetables, casserole
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