The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio. ​

Answers

Answer 1

Answer:

-1/3 or 1/2.

Step-by-step explanation:

Second term = ar, the third = ar^2 and the fourth = ar^3.

So we have the equation:

ar + ar^2 = 6ar^3

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

(3r + 1 )(2r -1) = 0

r = -1/3, 1/2.


Related Questions

Which of the following inequalities are true? 4 < -8 8 < -4 -8 < -4 -8 > -4

Answers

Answer: The third option is true, -8<-4

Step-by-step explanation:

Negative four is greater than negative eight because it is closer to zero on the number line

Solve the equation
(If possible please show work)

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2(-x-4)+3=-7-4x[/tex]

First, distribute the left side:

[tex]-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x[/tex]

Add values on the left side:

[tex]2x+11=-7-4x[/tex]

Add 7 to both sides. The right side cancels:

[tex](2x+11)+7=(-7-4x)+7\\2x+18=-4x[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+18)-2x=(-4x)-2x\\18=-6x[/tex]

Divide both sides by -6:

[tex](-6x)/-6=18/-6\\x=-3[/tex]

Therefore, x equals -3.

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 2( - x - 4) + 3 = - 7 - 4x[/tex]

[tex]to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses[/tex]

[tex]2x + 8 + 3 = - 7 - 4x[/tex]

[tex]add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \: [/tex]

MARNIE OUT!

:)

A garment store sells a particular brand of a shirt at ₹x and a particular brand of a trouser at ₹y. John buys 5 shirts and 3 trousers from the store at ₹9000. Frame an equation to model the above situation.

Answers

Answer:what I don’t even know sorry that I wasted you time but if you stay and keep reading it might be important

So how do I switch accounts or log out hopefully you chose to keep reading I got you good and wasted your time

Step-by-step explanation:

please help on 9 to be marked the brainliest

Answers

I’ve seen this question 3 times now lol, it’s 2600


Round the number 817.0863 to the nearest:
(a) hundreds
(b) hundredths
(C) 3.d.p
(d) 4 s.f
(e) Whole number​

Answers

Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days? Estimate the answer by rounding off the number of toys to the nearest thousand.

Answers

Answer: $7,018,000

This value is a little over 7 million dollars

======================================================

Explanation:

120,587 rounds to 121,000 when rounding to the nearest thousand.

The instructions don't mention rounding 58, so we'll leave it as that

Multiply the values to get

58*121,000 = 7,018,000

which is the estimate of how much money was earned.

-----------

The actual amount of money earned is

58*120,587 = 6,994,046

which isn't too far off of our estimate.

-----------

Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.

Viola makes gift baskets for Valentine's Day. She plans to make 12 baskets each day. If there are 7 working days until the day she begins to sell the baskets, how many baskets will she have to sell?

Answers

Answer:84

Step-by-step explanation:

multiply the numbers

Answer:

84 baskets

Step-by-step explanation:

We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.

Here's the equation:

12 x 7 = 84

Viola can sell 84 baskets

Checked work:

84 ÷ 7 = 12


Which step can you use to solve the equation 6z=48

Answers

Answer:

z=8

Step-by-step explanation:

6z=48

divide by 6

6z/6=48/6

z=8

Answer:

x=8

Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.

Two less than a number and five is 12 less than the number itself

Answers

Answer: x - 2 + 5 = x - 12

Step-by-step explanation:

At first I was confused. Then I read the question again and translated it.

Less than translated means - 2.

A number, aka X.

and means plus(+).

when you put that together you get,

x - 2 + 5.

The next step is to translate to second part of the equation.

Is means equals(=).

So far we have: X - 2 + 5 = 12.

This is where I got confused...

After solving that peice, we have the words; " 12 less than the number it's self. I wasn't sure if 2 x's could be in the same equation. Now I know they can.

Above, we established that 'a number' is x.

Now, it's talking about that number again because it says; "The number itself." At first, I thought it was talking about 12 - 12! Then I realized that it's not.

The new equation, after understanding that in the second piece isn't 12 - 12, would be none other than,

x - 2 + 5 = 12 - x

I hope this helps!!

Answer:

Step-by-step explanation:

Twelve less than the one-fifth of a number is-7

Simplifying Square Roots of negative numbers

Answers

Answer:

0+10i

Step-by-step explanation:

First, the square root of 100 is 10 because 10*10 is 100.

i=-1

Therefore, to get rid of the minus, it would be 10i

Since there is nothing else to solve,

the answer is 0+10i

5 3/4 divided by 1 and 1/2 ​

Answers

Answer:

0.25

Step-by-step explanation:

(3/4/1)-1/2

0.75-0.5=0.25

Answer:

5 3/4 divided by 1 1/2 is 3 5/6

Step-by-step explanation:

What is the algebraic expression for the following word phrase: the sum of 7w and 5?
A. StartFraction 7 w over 5 EndFraction
B. 12w
C. 7 w minus 5
D. 7w + 5

Answers

Answer:

7w+5

Step-by-step explanation:

7w, and then the sum indicates an addition sign, so it becomes 7w+5

Answer:

7w+5

Step-by-step explanation:

sum means add

7w+5

factor the expression: -45x +40 expand the expression: 4w + 9( -6 - 3w)

Answers

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

-45x + 40

Factor out 5 from the expression.

5(-9x) + 5(8)

Take 5 as a common factor.

5(-9x + 8)

4w + 9( -6 - 3w)

Expand brackets.

4w + 9(-6) + 9(-3w)

4w - 54 - 27w

Combine like terms.

4w - 27w - 54

-23w - 54

Answer:

Factor the expression

[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]

Expand the expression

[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]

hope this helps

brainliest plz..

the ratio of adults to children attending a new exhibit at the museum was found to be 8:5. based on this ratio if 390 people attended one day how many would be children

Answers

999

why becuase thats the answer mine had

Mrs. Haddox is mailing a package that weighs 18.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces? 1 pound (lbs) = 16 ounces (oz) I GIVE BRAINLIEST PLZ

Answers

Answer:

296 ounces

Step-by-step explanation:

I used the formula "Multiply the mass value by 16"

Hope this helps:)

Answer:

296 is the total ounces it weighs

Step-by-step explanation:

1. Observa la imagen. Luego, responde las preguntas
.
a. ¿Qué molécula representa?​

Answers

Can you put the image ?

how do you calculate the area of this square which has two semicircles in it?

please help​

Answers

The area of the square is 100 square units because 10×10=100

The radius of a circle is half the length of the square. The radius is 5.

The 2 semi-circles added together actually equals a circle.

The area of a circle is π[tex]r^{2}[/tex].

5=r.

So [tex]5^{2}[/tex] equals 25.

The circle is 25π

So just subtract.

The area of the square with two semi-circles in it is (100 - 25π)

♡ Hope this helps! ♡

❀ 0ranges ❀

HELP ME PLEASE PLEASE HELP ASAP PLEASE

Answers

Answer:

X = [tex]\frac{L}{6\pi r }[/tex] - [tex]\frac{5r}{6}[/tex]  

Step-by-step explanation:

Solve the Equation. 20x + 12 ≥ 14x + 30 A. x ≥ 7 B. x ≤ 7 C. x ≥ 3 D. x ≤ 3

Answers

Answer:

x≥3

Step-by-step explanation:

Treat the ≥ symbol like it is an equals sign. First, subtract 14x from each side to get 6x+12≥30. Then, Subtract 12 from each side to get 6x≥18. I will let you solve the rest :)

Answer:

[tex]\huge\boxed{C.\ x\geq3}[/tex]

Step-by-step explanation:

[tex]20x+12\geq14x+30\qquad\text{subtract 12 from both sides}\\\\20x+12-12\geq14x+30-12\\\\20x\geq14x+18\qquad\text{subtract}\ 14x\ \text{from both sides}\\\\20x-14x\geq14x-14x+18\\\\6x\geq18\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}\geq\dfrac{18}{6}\\\\\boxed{x\geq3}[/tex]

Find the measure of a
A. 40
B. 25
C. 50
D. 12.5

Answers

Answer:

c because it will be half of it meaning you have to multiply rhem

The angle at the center subtend by the chord of the circle will be 50°. Then the correct option is C.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The angle at the periphery is 25°.

Then the angle at the center of the circle will be double of the angle subtend at the periphery.

Central angle = 2 × 25°

Central angle = 50°

The angle at the center subtend by the chord of the circle will be 50°.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

how to solve 2|4-3x|-2 <10?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

(-2/3, 10/3)

▹ Step-by-Step Explanation

2|4 - 3x| - 2 < 10

2|-3x + 4| - 2 < 10

2|-3x + 4| < 12

= (-2/3, 10/3)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

what is x? please answer asap!!

Answers

Answer:

Hey there!

Angle x is equal to 148 degrees because it is supplementary with the angle of  32 degrees.

Let me know if this helps :)

You have a straight line between points C,P,D. A straight line is 180 degrees.

That 180 degrees is broken into two parts, with the line PB. One part is 32 degrees. The other part is called x. X is thus (180-32) degrees.

4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
gallons of milk you can buy?

Answers

Answer:

You can buy 8.18 gallons of milk.

Step-by-step explanation:

12.79/4.89 = 2.62

21.44/2.62 = 8.18

A train starts at Omaha at 2 pm and heads for Reedley, 750 km away. At the same time, a train leaves Reedley and heads for Omaha at 85 km per hour. If the trains meet at 5 pm, what is the rate of the first train

Answers

Answer:

250 km per hour

Step-by-step explanation:

In order to find the rate of the first train, we need to know that the distance between Omaha and Reedly is 750 km away and that it will move at 2 pm and arrive at the location at 5 pm. So, first subtract the hours from 5 to 2.  5 - 2 = 3

The train would arrive in 3 hours.. so we substitute 3 into the number of hours.

Distance = 750

km (kilometers per hour) = ?

Hours = 3

Now we should substitute the number values into the equation, it should look like this:  750 = km(3)

3 multiplied by the varible will be 3km because there is no coefficient for km.

750 = 3km

Then, we divide 3 by both sides to make the 3 into a one for km.

750 ÷ 3 = 3km ÷ 3

250 = km

The rate of first train is 165 mph.

What is Speed- Distance?Speed = Distance/Time Distance = Speed X Time, Time = Distance / Speed.

We can frame the situation as

                    Distance      Rate      Time

First train                            x        3

Second train                      85        3

Now, using Distance= Speed x  time

                       Distance      Rate      Time

First train               3x           x              3

Second train       255          85            3

So, the equation is

3x+ 255 = 750

3x = 750 -255

3x =495

x= 165

Learn more about Speed distance here:

https://brainly.com/question/12759408

#SPJ1

Does this equation have one, many, or no solutions? [tex]2+4(3-4x)=5x+9[/tex] If one, what is the value of 'x'? Show work please.

Answers

Answer: This equation has one solution.

Steps:

2+4(3-4x) = 5x +9

First, we need to distribute to the terms inside the parentheses.

4 * 3 = 12   and   4 * -4= -16x

Our equation now looks like this:

2 + 12 - 16x = 5x + 9

We can now combine like terms. We have 2 like terms that we can combine:

2 + 12 + = 14

Our equation now looks like this:

-16x + 14 = 5x + 9

We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.

-16x + 14 = 5x + 9

-5x          -5x

The fives cancel out. Our equation now looks like this:

-21x + 14 = 9

We can now use inverse operations to get rid of the 14:

-21x + 14 = 9

       - 14  -14

The fourteens cancel out. Our equation now looks like this:

-21x = -5

Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.

-21x/-21 =    and    -5/-21 = 5/21

x is equal to 5/21.

Hope this helps!

Answer:

-5x + -5 + 5x-.1

Step-by-step explanation:

how to find three-quarters of x

Answers

Answer:

3x/4

Step-by-step explanation:

Three quarters =3/4

3/4 of x = 3x/4

Answer:

3/4 times x

Step-by-step explanation:

of = multiply

4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x

lf x+1/x=12 then find the value of x3+1/x3​

Answers

Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332

Which graph represents this system of inequalities? y > x + 3 y ≤ 5x − 1

Answers

Answer:

it should be the second one

Step-by-step explanation:

the only reason i kno this is because one side always has to be white

hope this helps

sorry if its wrong

the last graph i personally think this because of answer i got using desmos when i put in this problem. ( make sure the answer you click matches the last graph on this question i don't want you to get an incorrect answer because you didn't pay attention)  

Given g(x)=9x^2-5 and k(x) =3x-1, find g(x) + k(x)

A. 2x^2 +3x - 6
B. x^4 + 3x^3 - 6x^2 - 15x + 15
C. 3x - 6
D. 5x^2 - 6

Answers

I hope this helps you

Question wants sum of two functions

g(x) +k(x)

9x^2-5+3x-1

9x^2+3x-6

3(3x^2+x-2)

3(3x-2)(x+1)

Solve for u.
4u²+3=-8u
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution."

Answers

Answer:

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

4u² + 3 = -8u

4u² + 3 + 8u = -8u + 8u       (add 8u both sides)

4u² + 8u + 3 = 0                    simplify

using quadratic equation:

      - 8 ± √ (8² - 4 * 4 *3)

u = ------------------------------

               2 * 4

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

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