The geometric mean of x+3 and 4x+1 is 2x+1. Find all possible values of x.

Answers

Answer 1

Answer:

[tex] x = - \frac{2}{9} [/tex]

Step-by-step explanation:

Since, the geometric mean of x+3 and 4x+1 is 2x+1.

Therefore, by geometric mean theorem:

[tex] {(2x + 1)}^{2} = (x + 3)(4x + 1) \\ \\ \cancel{4 {x}^{2}} + 4x + 1 = \cancel{4 {x}^{2}} + x + 12x + 3 \\ \\ 4x + 1 = 13x + 3 \\ \\ 4x - 13x = 3 - 1 \\ \\ - 9x = 2 \\ \\ x = - \frac{2}{9} [/tex]


Related Questions

if u are good with math try and help me out

Answers

Answer:

They appear to have the same dimensions, and the arrows etched on their sides indicate that they are equal. The information given also informs us that the sides are equal, like SW = TV.

Hope that helps!

Step-by-step explanation:

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply.
The sample of 40 children is too small to represent all kindergartners.
The sample was taken at a specific movie, which will skew data towards that type of movie.
The sample is likely to include a lot more girls than boys, since the movie title is “Three Pretty Princesses.”
The sample should include the adults with the children instead of only children.
The sample should include the other peer helpers in her grade to include a greater age range.

Answers

Answer:

B,C

Step-by-step explanation:

Answer:

its b and c i just took the test.

Step-by-step explanation:

i x the test x me = B

What is the measure of the angle 4?

Answers

A straight line (q) has to equal 180 degrees

180 - 61 = 119 degrees

Answer: 119

I hope this helps but I’m sorry if this is incorrect

A 92​-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece. The shorter piece is nothing inches long.

Answers

Answer:

23 inches

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

A 92-inch is cut into two pieces.

x + y = 92

One piece is three times the length of the other.

x = 3y

Find the length of the shorter piece.

Hence:

x + y = 92

x = 3y

3y + y = 92

4y = 92

y = 92/4

y = 23 inches

Solving for x

x + y = 92

x + 23 = 92

x = 92 - 23

x = 69 inches

The shorter piece is 23 inches long.

Look the the question below

Answers

Answer:

Step-by-step explanation:

Since 3 is odd he will lose

-10(3)=-30

Cynthia is saving money for her trip to Italy. She put her money into a savings account so it can accrue interest. She deposits $4,500 into the account that has an interest rate of a 8.5%. She keeps the money in the account for 3 years. What is the balance of the account after 3 years.

$1147.50

$5647.50

$11,475

$95.63
RIGHT ANSWER BRAINLYEST

Answers

Answer:

$5647.50

Step-by-step explanation:

Formula for interest => I = Prt

substitute => I = (4500)(0.085)(3)

I = 1147.5

Add interest to our principle value => 4500 + 1147.5

Thus, our answer: $5647.50

Solve for X thanks
[tex] \frac{5x - 5}{x - 2} = \frac{1}{3} [/tex]

Answers

The answer is,

[tex]x = \frac{13}{14} [/tex]

And in decimal form it would be,

[tex]0.928571[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{5x-5}{x-2}=\frac{1}{3}\\ \\ 15x-15=x-2\\ \\ 14x=13\\ \\ x=\frac{13}{14}[/tex]

Help

A line with a slope of -2 passes through the points (-4, 7) and
(0, n). What is the value of n?

Answers

Answer:

n = -1

Step-by-step explanation:

Use the equation y=mx + b

m (slope) = -2

x (x coordinate) = -4

y (y coordinate) = 7

You are solving for b.

Plug in for the given values:

7 = -2(-4) + b

7 = 8 + b

-1 = b (Minus both sides by 8)

y= -2x -1

Therefore, n = -1

Please answer this as soon as possible thank you I appreciate it

Answers

a) yes, it satisfies the equations

Answer:

a. Yes

Step-by-step explanation:

Plug the values into each expression to check

y - 3 = x

4 - 3 = 1

1 = 1

This checks out

2y = 2x + 6

2(4) = 2(1) + 6

8 = 2 + 6

8 = 8

This checks out so the coordinates do indeed satisify the equations

Finding missing angles
Help asap pls!!

Answers

20 is x because adding it all should be 180

Answer:

it dosent load

Step-by-step explanation:

u can type the angles in the comments and i can help u with that

Mr. Vernon takes a train for 188 miles. Then he rides a subway for 9 stops. Each stop is 2 miles apart. How far does he travel.

Answers

Answer:

206 miles

Step-by-step explanation:

9 stops * 2 miles = 18 miles on the subway

add the 188 miles traveled by train

188 + 18 = 206 miles

please help me with this it is practice and I'm confused ​

Answers

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

please help will give branlist

Answers

Answer:

The file will help

Step-by-step explanation:

4.) What is the median for hours spent studying in 9th grade? Do not label
your answer; just type the number of hours.

Answers

10 — Look at the vertical line in the box of 9th grade.

Find the surface area of this prism. Show your reasoning. Organize it so it can be followed
by others.

Answers

Standing pieces:
2(9x6)+4(9x3) = 108+108 = 216
“L” horizontal pieces:
cut it to 3 squares of 3x3 each
2x3(3x3) = 54
total surface area = 216+54 = 270cm^2

5
11

= ÷
i need help im confused

Answers

Answer:

huh i dont get the queation

PLEASE HELP I'LL GIVE THE BRAINLIEST

Select the corect answer.

Triangle a is rotated 180° counterclockwise about the origin. Which figure is transformed figure? (zoom into the picture if you can't see it)​

Answers

Answer.

B

Step-by-step explanation:

When a triangle is rotated 180° clockwise or anti clockwise both the x and y value will attain the opposite sign example:

(a,b) will be (-a,-b)

(1,-3)will be (-1,3)

If f(x)=1-x^2+x^3, then what does f(-1) equal to​

Answers

Answer:

Step-by-step explanation:

f(-1)=1-(-1)^2+(-1)^3

f(-1)=1-(1)+(-1)

f(-1)=1-1-1

f(-1)=-1

Andrew McCutchen hit 18 homeruns in 9 baseball games. At this rate, how many homeruns will he have hit
in 11 baseball games?
Please show how to do it

Answers

Answer:

if it's 18 home runs in 9 baseball games

then you're dividing 18 by 9 which is 2 home runs for every 9 baseball games

to prove if you're right (9×2=18)

if it's 11 baseball games then 11×2=22

Hope It Helps ☺️

Andrew McCutchen hit 18 a number of homeruns in 9 baseball games. . which is determined by the given proportion.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

Given that he hit 18 homeruns in 9 baseball games.

Let the number of homeruns would be x will he have hit in 11 baseball games.

According to the given question, we can write a proportion as

18 homeruns : 9 baseball games = x homeruns : 11 baseball games.

18 / 9 = x / 11

Apply the cross-multiplication operation,

18 × 11 = 9x

9x = 198

x = 198 / 11

Apply the division operation,

x = 18

Therefore, he hit 18 a number of homeruns in 9 baseball games.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ2

Find the slope given
the ordered pairs:
(-3,-2) and (-3,-5)

Answers

Step-by-step explanation:

[tex] - 2 - - 5 \\ [/tex]

[tex] \div - 3 - - 3[/tex]

how do you prove midsegment theorem?

Answers

Answer:

Step-by-step explanation:

We connect the midpoints of any two sides of a triangle with a line segment, then that line segment is following two properties. The line segment will be parallel to the third side. The length of the line segment will be one-half the length of the third side. This is how you prove it.

I NEED HELP PLEASE!!! I NEE HELP PLEASE!!!​

Answers

Step-by-step explanation:

Is there a graph tool to use on brainly?

Camilo compró un auto usado en $6,000.000y aceptó pagar $1,000.000 al contado y $1,000.000 al mes con interés del 6% anual sobre saldos insolutos. ¿Cuál será el pago total que realizará Camilo?

Answers

Answer:

El pago total que hará Camilo es $6,150,000

Step-by-step explanation:

La cantidad que Camilo compró el auto usado = $6,000,000

La cantidad que Camilo acordó pagar en efectivo = $1,000,000

La cantidad que pagará Camilo en un mes = $1,000,000

El interés sobre el saldo impago = 6%

Por lo tanto, tenemos;

El interés sobre el saldo en un año = 6/100 × 5,000,000 = 300,000

El interés por mes = 300.000 / 12 = 25.000

La cantidad de meses que Camilo paga el saldo de 5,000,000 a 1,000,000 por mes = 5,000,000 / 1,000,000 mes = 5 meses

El momento en que paga el saldo restante = El sexto mes

La cantidad de interés pagado en los seis meses = 25,000 × 6 = 150,000

El pago total que hará Camilo, A = 6,000,000 + 150,000 = 6,150,000

El pago total que hará Camilo, A = $6,150,000

what is 2/10 divided by 2/4

Answers

Given:

[tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex].

To find:

The solution for the given division problem.

Solution:

We have, [tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex]. It can be written as

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{10}\times \dfrac{4}{2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2\times 4}{10\times 2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{8}{20}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{5}[/tex]

Therefore, the solution for the given division problem is [tex]\dfrac{2}{5}[/tex].

MARKING BRAINLEIST IS DUE IN MINS I NEED IT TO GET AN A+ !

Answers

Answer:

250

Step-by-step explanation:

V= πr^2h = π·5^2·20 ≈ 1570.79

This is the volume of the full glass so divide that by two and you get 785.4.

785.4 in terms of pi is 250.

Which pair of points are 4 units apart?

A.
(1, 4) and (8, 4)

B.
(6, -1) and (6, 3)

C.
(-3, 0), (7, 0)

D.
(-2, 2), (6, 10)

Answers

Answer:

B

Step-by-step explanation:

-1+4=3

What is the value of x?

Answers

Answer:

20

Step-by-step explanation:

3x+50=6x-10 (vertically opposite angles)

50+10=6x-3x

60=3x

60/3=x

x=20

Answer:

x = 20

Step-by-step explanation:

6x - 10 = 3x + 50       {Vertically opposite angles}

6x        = 3x + 50 + 10     {Combine like terms}

    6x    = 3x + 60        {Subtract 3x from both sides}

6x -3x  = 60

     3x = 60         {Divide both sides by 3}      

        x = 60/3

x = 20

Solve for X when the surface area is 298ft^2

Answers

Step-by-step explanation:

Total surface area of cuboid= 2(lb+bh+hl)

= 298ft²=2(28+4x+7x)

= 149=28+11x

= 121=11x

= 11=x

triangles...................

Answers

Answer:

Answer is TU = 15cm since n = 6 and n + 9 is 6 + 9 which is 15

Answer:

Answer:

triangle STU and WEK are CONGRUENT

ST=WK SIDE OF A CONGRUENT TRAINGLE ARE EQUAL

2M=N.....1

SU=WE

3M+5=N+8

3M+5=2M+8

3M-2M=8-5

M=3

NOW

N=2M=2×3=6CM

TU=WK=N=6CM.

find the slope between (5,0) and (6,0)

Answers

Answer:

The slope is 0

Step-by-step explanation:

There is no change in y values making the slope have a value of 0

Answer:

m = 0

Step-by-step explanation:

(5,0) and (6,0) would form a horizontal line.

All horizontal lines have a slope of zero.

Therefore, the slope of the line between (5,0) and (6,0) is 0.

Hope this helps.

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