(2x+3)²=125 find x
with full solution please​

Answers

Answer 1

Answer:

x = ± ( 5√5 - 3 ) / 2

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

[tex]( 2x + 3 )^{ 2 } = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2[/tex]

Solution ; x = ± ( 5√5 - 3 ) / 2


Related Questions

PLEASE HELP MEEEE ill mark brilliance!!!!

Answers

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

What is the equation of the line through (-2,-2) and (4,-5)?

Answers

Answer:

y=-3.5x+9

Step-by-step explanation:

the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9

the slope intercept form of the equation of the line that passes through point (-3,8) is y=-2/3x+6. what is he point-slope form of the equation for this line

Answers

Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

in fantasy football, Real Performance statistics from actual players are used to generate mock scores for Imaginary teams and virtual games. What kind of data source is this?​

Answers

Answer:

[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]

Step-by-step explanation:

The data is collected from actual players, from real world, not simulation.

=> Option A-Simulation is incorrect.

The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.

=> Option C-Experiment is incorrect.

The data is collected subjectively and used directly to generate mock scores without any manipulation.

The data can be considered the results of survey.

=> Option B-Survey is correct

Hope this helps!

:)

Answer: Simulation

Step-by-step explanation:

I took the quiz

In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°

Answers

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

A file that is 246 megabytes is being downloaded. If the download is 12.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth

Answers

Answer:

30.8

Step-by-step explanation:

We can mutiply 246 by 0.125 to get the answer.

246 * 0.125 = 30.75 = 30.8

Answer:

30.8 megabytes

Step-by-step explanation:

We know that 12.5% of the 246 megabytes have been downloaded.

Of, means multiply. Therefore, we must multiply 12.5% and 246.

12.5%*246

Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.

12.5/100=0.125

12.5–> 1.25 —> 0.125

0.125*246

Multiply

30.75

We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.

30.8

30.8 megabytes have been downloaded.

Pls help me with this question I’m trying to Anwser

Answers

Answer:Wish i could help, but I'm just as confused.

Step-by-step explanation:

4(x + 2) = 2x + 10


explain each step plz

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

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

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

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

x = 1

Hope this helps :))

How do you do this equation

Answers

When you solve, a quadratic formula is set up as ax^2+bx+c so in this scenario a is 1, b is -1 and c is -6.
-(-1)+- √- 1^2-4(1)(-1)/2(1) is
1+/-√1+4/2 equals -2 and 3 making the answer c

How do you go from 98 to 720 using just one letter?
RIDDLE...​

Answers

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

Catherine reflected the triangle across the x axis. What is the new
triangle?

Answers

for point A= -1 for point B= -2 for point C= -4. To get your answers alls you have to do is literally reflect the triangle numbers as of it was in a mirror

Answer:

C. (or the third graph)

Step-by-step explanation:

Need help with this question

Answers

Answer: 30

Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...

a² + b² = c²

24² + 18² = c²

576 + 324 = c²

c² = 900

[tex]\sqrt{900}[/tex]

30

30 = c

I hope this helps!

RuRodolfo has 15 toys in the toy box and he had to new toys everyone based on this information which representation that shows the relationship between the number of toys

Answers

QUESTION; Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?

Answer:

Hello dear, your question is not complete (because you did not input the representations) but not to worry the representation can be found in the attached picture.

Thus , option C(third representation) is the correct answer.

Step-by-step explanation:

NB: kindly check attached file/picture for the pictures showing the representation in the question above.

From the question above we are given the following parameters or information or data;

=> RuRodolfo has 15 toys in the toy box and he had two new toys every month.

=> "The representation that best shows te relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x" will be option C because;

2 × 15 = 30. Therefore, RuRodolfo has 30 toys are the end of the month.

Answer:

B

Step-by-step explanation:

Which relationship describes angles 1 and 2?

Select each correct answer.


complementary angles

supplementary angles

vertical angles

adjacent angles

Answers

Complementary angles

State true or false
The measure of the supplementary angle of the complementary angle of an angle with measure 35 degree is 125 degree

Answers

Answer:

True

Step-by-step explanation:

90-35=55degree

180-55=125°

Order these numbers from least to greatest.
1.4, 1.103, 1.1322, 1.13

Answers

Answer:

1.103,1.13,1.1322,1.4

Step-by-step explanation:

find the decimal places and u can figure out with they are greater than this decimal or less

Answer:

1.103, 1.13, 1.1322, 1.4

Step-by-step explanation:

hope that helped:D

what is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?

Answers

Answer

y=45

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6.4 × 3 =19.2

44.4 - 19.2 =2.8y

25.2=2.8y

25.2/2.8=y

y=9

Which graph represents a function??

Answers

Answer:

To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.

Answer:

Bottom Right

Step-by-step explanation:

A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.

What is the difference between -4 and 6

Answers

[tex]answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

[tex] - 10[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = ( - )[/tex]

[tex]( - ) + ( - ) = ( - )[/tex]

Let's solve

[tex] - 4 - ( + 6) \\ - 4 - 6 \\ = - 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Your new computer costs $2500 but it depreciates in value by about 14% per year

Answers

Answer:

Step-by-step explanation:

The computer's initial cost is 2500. It decreases by 14% every year. That means the price is multiplied by (100-14)/100=86/100 every year, for x years.

The equation is 2500*(86/100)^3. After three years, it is 2150.

If f(x) = 49- x and g(x) = 7-, which is the rule of the function (8-3)(x)?
a
-x2 - X+ 56
b. x? - 7x2 - 49x + 343
7+X
d. x2 + x +42
C.
Please select the best answer from the choices provided
A. B. C. D.

Answers

Answer:

B ) x³ -7 x² -49 x +343

 (f .g) (x)  = x³ -7 x² -49 x +343

Step-by-step explanation:

Explanation:-

Given f(x) = 49 - x²  and g(x) = 7-x

  (f .g) (x)  = f(x) .g(x)

  (f .g) (x) = ( 49 - x² ) (7-x)

              = 49 ((7-x))- x²(7-x)

             = 343 -49 x -7 x² + x³

 (f .g) (x)  = x³ -7 x² -49 x +343

Conclusion:-

(f .g) (x)  = x³ -7 x² -49 x +343

Autumn is working two summer jobs, making $16 per hour tutoring and making $12 per hour landscaping. In a given week, she can work no more than 17 total hours and must earn at least $240. If Autumn worked 3 hours landscaping, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

13,14

Step-by-step explanation:

t = tutoring

l = landscaping

16t+ 12l ≥240

t+l ≤17

We know that she worked 3 hours landscaping

l =3

t+3≤17

t ≤14

16t+ 12*3 ≥240

16t + 36  ≥240

Subtract 36 from each side

16t ≥204

Divide each side by 16

t ≥204/16

t ≥12.75

We know that

12.75 ≤t≤14

She has to work whole hours

13,14

What is the reference angle for a 240° angle? 30° 60° 180° 270°

Answers

Answer:

60°

Step-by-step explanation:

240° is between the two numbers 180°and 270°, So you're going to want to subtract 180 from 240 Thus, your answer will be 60!

hope you found this helpful :)

The reference angle is 60°. Option B

How to determine the angle

Since 240° is in the third quadrant

Formula for reference angle in the third quadrant

Reference angle = ∝ - 180°

Reference = 240 - 180

Reference angle = 60°

Thus, the reference angle is 60°. Option B

Learn more about reference angle here:

https://brainly.com/question/16884420

#SPJ5

Show me da way to the answer. Find the endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (6,−5) Midpoint: (6,2)

Answers

(6, 9) is the other end point. This is because the given endpoint is 7 units below the midpoint. Therefore, the other one is seven above, at a y value of 9.

A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?

Answers

Answer:

2 and half

Step-by-step explanation:

What is 1/2 convert to 6?


A. 6
B. 12
C. 3

Answers

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

HELP I will give brainliest to make the perfect shade of orange cake frosting, Mya needs 8 drops of yellow food coloring for every 12 drops of red food coloring. If she adds 32 drops of yellow food coloring to her frosting, how many drops of red food coloring should she add

Answers

She will need 48 drops of red food coloring

Answer: 48 red drops

Step-by-step explanation:

ratio of yellow food drops to red food drops is 8:12

8:12 simplifies to 2:3

2:3 = 2/5:3/5

2x/5 = 32 = # of yellow drops (where x is the total # of drops)

2x/5 = 32

2x = 160

x = 80

Since there are 80 total drops and 32 yellow drops, there must be 48 red drops (80-32=48)

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x.
SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57

Answers

Answer: For the first one it’s 95 degrees. I don’t know the second one, sorry

Step-by-step explanation:

180-155=25

25+60=85

180-85=95

18. QS bisects ZPQR. If mZPQS = 3x and
mZROS = 2x + 6, then mZPQR =
?
A. 18°
B. 36°
C. 30°
D. 6°

Answers

the answer is b because

ABC is similar to APQ. Find x and y.

Answers

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

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