(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

4x - 7 = -2x +12 what are the steps ?

Answers

Step-by-step explanation:

4x-7=-2x+12

Add 2x

6x-7=12

Add 7

6x=19

Divide 6

x = 19/6

19/6 = 3 1/6

x = 3 1/6

Answer:

First u have to take -7 to the other side to make it +7 which will make it 4x=-2x+12+7And then take -2x to the other side to make 4x+2x=12+7which makes it 6x=19then solve for xboth divided by 66x/6=19/6cancel both 6athen x =ans?

Ive 5 - 6x = 8x + 17.

Answers

Answer:

-6/7

Step-by-step explanation:

5-6x=8x+17

-8x -8x

5-14x =17

-5 -5

-14x =12

/-14 /-14

12/-14 = -6/7

what is the mean of this set {6,7,9,9,9}​

Answers

Answer:

8

Step-by-step explanation:

To find the mean, or average of a data set, add all the values together, then divide by the number of values.

The data set is: 6,7,9,9,9

1. Add all the values

Add 6,7,9,9 and 9

6+7+9+9+9

40

2. Divide by the number of values

Count how many numbers are in the data set. In this case, there are 5 numbers.

Divide 40 by 5.

40/5

8

The mean of the data set is 8.

Steps:

Mean x:  8

Median x:  9

Mode:  9

Range:  3

Minimum:  6

Maximum:  9

Count:  5

Sum:  40

1:  6+7+9+9+9

2: =40

3: 40 divided by 5

4: = 8

Description:

The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.

5 is the total numbers there

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Hope this helps.

what is circular test track

Answers

Answer:

A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.

Step-by-step explanation:

I’m stuck can someone help me thank you

Answers

Answer:

the answer may be 127.

Step-by-step explanation:when you add 90° + 37° you will get the answer 127

I am not sure.

Find the term to term rules for the following sequences:
2, 6, 18, 54, 162

Answers

The term rules for the following sequences is that you multiply each number by 3! Hope this helps and please mark brainliest :)

Step-by-step explanation:

U=ar^(n-1)

r=6/2=3

a=2

U=2(3)^n-1=6^n-1

share £40 in the ratio 1:4 between Tim and Sam

Answers

Answer:

[tex]\£8:\£32[/tex]

Step-by-step explanation:

[tex]\frac{40}{1+4}[/tex]

[tex]\frac{40}{5}[/tex]

[tex]=8[/tex]

[tex]1:4[/tex]

[tex]1 \times 8:4 \times 8[/tex]

[tex]8:32[/tex]

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= [tex]\frac{40}{5}[/tex]

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

Can the side lengths of 8, 9, and 12 form a triangle?
Yes
No




Please help help help :(

Answers

the answer is no:))))))))

Yes, with sides 8,9 and 12 triangles can be formed.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

From the triangle property, the sum of the two sides of the triangle should be greater than the third side.

From the given data the sum of the two sides is greater than the third side.

8 + 9 > 12

17 > 12

Hence, with sides 8,9 and 12 triangles can be formed.

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Simplify the radical expression.

Answers

Answer:

x^4y^9, the second option.

Step-by-step explanation:

A radical sign over an expression also means the expression is to the power of 1/2. In other words, the square root of n=n^1/2

(x^8y^18)^1/2

You divide the powers by 2

x^4y^9 is the answer

Answer:

b

Step-by-step explanation:

THIS IS 1 QUESTION YEAR 9 MATHS PLEASE HELP ME
Here are five shapes.
Two of these shapes have rotational symmetry of order 2
Write down the letter of each of these two shapes.
(2 marks)



Answers

I think it’s B and D
The two shapes with rotational symmetry are B and D

Which of the following statements is/are true regarding the figure above?

Check all that apply.

A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.​

Answers

B. It is a line segment.

-3x + 12x how do I simplify that?

Answers

-3x+12x

Divide it all by three

-x+4x

Answer:

The answer is 9x

Step-by-step explanation:

-3x + 12x

12x - 3x = 9x

There were 49 questions in the exam and Peter answered 45 questions correctly. Find the percent of error.


A. 8.16%
B. 8.2%
C. 8.5%
D. 8.8%

Answers

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

the radius of the compass in 14 millimeter. what is the approximate area of the compass? (use 3.14​

Answers

Answer:

the approximate area of the compass is 615.75mm2

David correctly factored the expression m2 -12m - 64 which expression did he write ?
1. (m - 8)(m - 8)
2. (m - 8)(m + 8)
3. (m - 16)(m + 4)
4. (m + 16)(m - 4)

Answers

Answer:

Step-by-step explanation:

Hints: look at the last term (-64) and the middle term (-12m).

Note that 64 is the product of 4 and 16, and that -4(16) = -64 or (-16)(4) = -64. the last term of thh given expression.  Furthermore, if we look at the composition of the middle term (-12m), we realize that 4 - 16 = -12 must lead towards a solution.

Focus on possible Answer 3:  Here -16m + 4m = -12m (which is what we'd hoped for, matching the middle term of the given expression.

Then m^2 - 12m - 64 = (x - 16)(x + 4)  (Answer 3)

Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Step-by-step explanation:

Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)

On the other hand, the function f(x) has two roots that are obtained by factoring it out:

[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]

Therefore it has roots at x=2 and x= -3

So functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Which number produces a rational number when added to 5/8 ?

A. 0.777....
B. 5/6
C. 0.13241536...
D. -0.625

Answers

Answer:

option c is correct

Step-by-step explanation:

please mark me brainlest

please thanks

Answer:

Step-by-step explanation:

Answer is C.  0.132

Which number line represents the solution set for the inequality 2x - 62 6(x - 2) + 8?
-15
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1.5
0
0.5
1
1.5

Answers

Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

Learn more about inequality, click;

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PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.

Answers

Answer:

Angle

Step-by-step explanation:

It stands for angle

Step by step step explanation

A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red?
show work pls tnx!

Answers

Answer:

3/14

Step-by-step explanation:

There’s 14 marbles total and only 3 are orange

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given

Answers

Answer:

1. 5.2 / 2 = 2.6 cm

2. Since 2 angles are congruent the answer is AA.

Which of the following is a number that is used to describe how two random variables are related?

A.) Comparison coefficient
B.) variable
C.) Correlation coefficient
D.) Sigma

Answers

Correlation coefficient

The pair of figures is similar find X round to the nearest 10th if necessary

Answers

Answer:

x = 4.5 or rounded 5

Step-by-step explanation:

Because they are equal you can make the equation:

x/2 = 18/8

this means that 8 divided by 2 equals (4)

what 18 divided by x is (4)

this means 4 times x = 18

4x = 18

/4    /4

x = 4.5 ft

Mr. Landry, the owner of Blissful Bites Bakery, prepares 30 pounds of cake batter each morning. Mr. Landry uses half of the cake batter to make large cupcakes. If he makes 48 cupcakes, how many ounces of cake batter does he use for each cupcake?

Answers

Answer:

5 ounces

Step-by-step explanation:

Mr. Landry prepares 30 pounds of cake batter each morning and he uses half of the cake batter to make large cupcakes.

This means that he uses 15 pounds of cake batter.

He makes 48 cupcakes with the batter.

Therefore, the number of pounds of batter he uses per cake is:

15 / 48 = 0.3125 pounds

We have to convert it to ounces.

1 pound = 16 ounces

=> 0.3125 pounds = 16 * 0.3125 = 5 ounces

He uses 5 ounces of cake batter for each cake.

Answer:

5 ONCES

Step-by-step explanation:

sry i had caps on but i did the math

Factor each polynomial using the difference of two squares patt
square trinomial pattern.
x² – 9

Answers

Answer:

(x+3)(x-3)

Step-by-step explanation:

It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3.  So we get (x+3)(x-3).

Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input

Answers

The correct answer is C. Domain
The answer is C-Donain

we can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...

Answers

Answer: Inequality

Step-by-step explanation:

From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An

inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.

For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.

please help me w dis!! marking brainiest!!!

Answers

Answer:

D

Step-by-step explanation:

Distributing the factors we get

-8x^2 -6x +35

What is the value of x in the equation 3 minus 2 x = negative 1.5 x? People say the Answer is 6. What's the work to get the answer?

Answers

Answer:

6

Step-by-step explanation:

3-2x=-1.5x

3=2-1.5x

3=0.5x

X=(3÷0.5)=6

find the value of x,

Answers

Answer:

for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry

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