How do I solve this equation and check the solutions?

How Do I Solve This Equation And Check The Solutions?

Answers

Answer 1

Answer:

10+√3=4x²

Step-by-step explanation:

Answer 2

Answer:

{12}

Step-by-step explanation:

isolate the radical expression

[tex]\sqrt{3x} = x-6[/tex]

raise both sides to the index of the radical in this case 2

[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]

[tex]3x = (x-6)^2[/tex]

foil the right hand side or multiply (x-6)(x-6)

[tex]3x = x^{2} -6x-6x+36[/tex]

subtract 3x from both sides and combine like terms

[tex]0=x^{2} -15x+36[/tex]

factor

[tex]0=(x-12)(x-3)[/tex]

set each factor equal to zero and solve for x

x - 12 = 0 and x - 3 = 0

     x = 12 and     x  = 3

Check each answer by plugging them individually into the original equation if the come out true they are a solution.

Check :

[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex]           [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]

So the only solution is 12.


Related Questions

The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely

Answers

Step-by-step explanation:

9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)

length of 1 side = ± sqrt 2(11-6x) (rej neg value)

HELP IMMEDIATELY!!
Type the correct answer in the box. Use numerals instead of words.
The graphs of functions f and g are shown.
Function g is defined as . What is the value of c?
The value of c is __.

Answers

Answer:

The value of c is 3

Step-by-step explanation:

Here, we want to get the value of c

From the question, we can select a single x-point

when x = 16

f(x) = 2

g(x) = -1

Thus;

g(16) = f(16) - c

-1 = 2 - c

c = 2 + 1

c = 3

Answer:

- 3

(got it right on edmentum)

but for your assurance so you can get this question right please make sure to look at the picture below↓

Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. /En qué piso se quedó

Answers

Answer:

8th floor

Step-by-step explanation:

Because he went up twice

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer:y is 60 slope is -10

Step-by-step explanation:

The diagram shows a triangle.
3t
2t–50°
2t–50°
What is the value of t?
t =

Answers

3t+2t-50+2t-50=180
7t-100=180
+100. +100
7t=280
t=40

Which property is used in the following expression ? 8(2 + 7) = 16 + 56

Answers

I need pints im so sorryy

Answer:

Distributive property

Step-by-step explanation:

How do you solve this? Please help!

Answers

Answer:

b

Step-by-step explanation:

u can use the ration method

15:15+36

20:6x-7

then cross multiply

and x =12.5

Answer:

x = 12.5

Step-by-step explanation:

The large outer triangle and the small inner triangle are similar, thus the ratio of their corresponding sides are equal, that is

[tex]\frac{20}{6x-7}[/tex] = [tex]\frac{15}{15+36}[/tex] = [tex]\frac{15}{51}[/tex] ( cross- multiply )

15(6x - 7) = 1020 ( divide both sides by 15 )

6x - 7 = 68 ( add 7 to both sides )

6x = 75 ( divide both sides by 6 )

x = 12.5

Write a multiplication equation for "Eight $5 bills are worth $40."

Answers

Answer: use your 5 times tables.

Step-by-step explanation:

5, 10 15, 20 25, 30, 35, 40

then count how many times it gotyou to 40

it took 8 times to get to 40.

What is the value of 24 – ( - 6 – (5 + 8))?
O A. 5
B. 27
C. 31
O D. 43

Answers

The correct answer is 43

Identify the polynomial by degree and number of terms: 2x3 + 5x

Answers

Answer: x(2x^2+5)

Step-by-step explanation:

this prob didnt help so i atleast tryed

The first three terms of an arithmetic sequence are as follows.
-10, -4, 2
Find the next two terms of this sequence.
-10,- 4, 2, 0.0
Х
?

Answers

Answer: the awnswer is 3 i think hope you pass

Step-by-step explanation:

The price of a remote control car was reduced from $200 to $120. By what percentage was the
price of the remote control car reduced?

Answers

Answer:

%40

Step-by-step explanation:

if -2/5r=-20, then r=50 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

-2/5*50=-20

-2/250=-20

-1/125=-20

Figure H was reflected across line L resulting in figure H'. Describe a translation that would map figure H' back onto Figure H

Answers

Answer:

Reflecting it over line L again

Step-by-step explanation:

This is too simple to explain in detail,

if you flip it over, flip it over again.

Megan's bank account is charged $9.95 per month for an online newspaper subscription how can you represent a change in her account balance after three months of charges

Answers

Answer:

T = C - (9.95 * 3)

Step-by-step explanation:

The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months...

T = C - (9.95 * 3)

The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.

Put these in order starting from the smallest
6^2 3^4 2^9
5^3

Answers

Answer:

6^2, 3^4, 5^3, and 2^9

Step-by-step explanation:

6^2= 36

3^4= 81

5^3= 125

2^9= 512

The figures below are similar. Find the length of the missing side.
14
10
56
40
14
х
56

Answers

Answer:

12

Step-by-step explanation:

Everything is multiplied by 4

I am not sure and I’m sorry if I get this wrong but I think it’s 12....

There are some nickles,dimes and quarters in a large piggy bank.For every 2 nickles there are 3 dimes.For every 2 dimes there are 5 quarters.There are 500 coins total.How many Nickles,Dimes and Quarters are in the piggy bank?

Answers

Answer:

I have no clue

Step-by-step explanation:

সৌরজগতের গ্রহ গুলোর চিএসহ বননা দাও​

Answers

Answer:

সৌরজগতে গ্রহগুলির ক্রম, সূর্যের নিকটতম সূচনা এবং বাইরের দিকে কাজ করা নিম্নরূপ: বুধ, শুক্র, পৃথিবী, মঙ্গল, বৃহস্পতি, শনি, ইউরেনস, নেপচুন এবং তারপরে সম্ভাব্য প্ল্যানেট নাইন। আপনি যদি প্লুটোকে অন্তর্ভুক্ত করার জন্য জেদ করেন তবে তা নেপচুনের পরে তালিকায় আসবে

আশাকরি এটা সাহায্য করবে

Solve for y.
14-y= b

Answers

14 - y = b
14 = b + y
14 - b = y

I hope this helps!

The value of y in the expression 14 - y = b is y = 14 + b.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.

Therefore,

14 - y = b.

- y = b - 14.

- ( - y) = - (b - 14).

y = 14 + b.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

No entendi lpM explicen

Answers

no able engles? Don’t know if i spelt that right but

Find the perimeter of the figure.
9 mi
5 mi
9 mi
4 mi

Answers

27 mi,, to find the permiter just add all the sides


Determine whether the graph represents a function

Answers

Answer:

Step-by-step explanation:

18). Graph represent a function

19). Graph does not represent a function

A rectangle is 9 centimeters long and 5 centimeters wide. What is the diameter?

Answers

Answer:

A rectangle doesn't has a diameter

________________________________

But if you are asking about perimeter.

Step-by-step explanation:

Perimeter = 2(l + b)

l = 9cm

b = 5cm

Perimeter = 2(l + b)

= 2(9 + 5)

= 18 + 10

= 28cm

What is the binary number for 16​

Answers

Step-by-step explanation:

Answer:

0001 0000

this is the answer and i had to make it longer so i could post it

What is
3/4X5/6
A)1/2
B)1/3
C)2/3
D)5/8

Answers

Answer: 5/8

Step-by-step explanation:

When multiplying two fractions together, always try to cross-cancel if possible as your first step.

In this problem the 3 and 6 reduce to 1 and 2.

Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 5/8

-x + 1 = x + 21

solve for x


I need this asap​

Answers

Answer:

x = -10

Step-by-step explanation:

-x + 1 = x + 21

(given)

__________

-x + 1 = x + 21

+x +x

(addition property of equality)

(add the x term on both sides to cancel out -x)

__________

1 = 2x + 21

-21 -21

(subtraction property of equality)

(subtract by 21 on both sides to get rid of the constant term on the x side)

________

-20 = 2x

÷2 ÷2

(division property of equality)

(divide to get rid of the coefficient of 2 in the x term)

_______

-10 = x

(symmetric property of equality)

(switch both sides so that x is on the left)

_______

x = -10

________________________________

Proof by substitution:

x = -10 because

x = -10 → -x + 1 = x + 21 → -(x) + 1 = (x) + 21 → -(-10) + 1 = (-10) + 21 → 10 + 1 = 21 - 10 →

11 = 11

Answer:

x=10

Step-by-step explanation:

Put both of the x on one side, and the numbers on the other side (this breaks down the equation).

This is make it easier for you to add/substract/divide/multiply.

Which statement best explains the relationship between
lines AB and CD?

They are parallel because their slopes are equal.

They are parallel because their slopes are negative
reciprocals.

They are not parallel because their slopes are not
equal.

They are not parallel because their slopes are
negative reciprocals.

Answers

A- they are parallel because they have equal slopes.

What is the percent of change from 24 to 30?
A.
20% decrease
B.
25% decrease
C.
20% increase
D.
25% increase

Answers

Answer:

D

Step-by-step explanation:

24        X

----  =   ----          than cross multiply and solve for X

30       100

Answer:

I am not sure I this one but The answer is efither B or D

Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.

Simplify ( - bc + 3b - 4c) + (bc + 3b + 4c).

Answers

9514 1404 393

Answer:

  6b

Step-by-step explanation:

  ( - bc + 3b - 4c) + (bc + 3b + 4c) = bc(-1 +1) +b(3 +3) +c(-4 +4)

  = 0bc +6b +0c

  = 6b

hope this helps.enjoy

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