How do I solve this equation and check all the solutions?

How Do I Solve This Equation And Check All The Solutions?

Answers

Answer 1

Answer:

x = 12

Step-by-step explanation:

[tex]\sqrt{3x}[/tex] + 10 = x + 4

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

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

3x = x² - 12x + 36

x² - 15x + 36 = 0

(x - 3)(x - 12) = 0

[tex]x_{1}[/tex] = 3

[tex]x_{2}[/tex] = 12

Check the answer:

[tex]\sqrt{3*3}[/tex] + 10 ≠ 3 + 4

13 ≠ 7 ⇒ 3 is not the root of original equation (strange root)

[tex]\sqrt{3*12}[/tex] + 10 = 12 + 4

16 = 16 ⇒ 12 is the root of original equation


Related Questions

A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?

Answers

Answer:

It would be -100

is 0.5 or 17/34 greater

Answers

Answer:

They're equal; 17/34 as a decimal is 0.5

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:

Step-by-step explanation:

Thank you for your timeeee

(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX

2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK

3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR

Answers

I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.

75=-5(3+6m) I need this​

Answers

Are you finding m? If so here is the answer:

75 = -5(3 + 6m)

Distribute:
75 = -15 - 30m

Add 15 to both sides:
75 = -15 - 30m
+15 +15
90 = -30m

Divide by -30 on both sides:
90/-30 = (-30m)/-30

You should get: m = -3

SOMEONE PLEASE HELP
ONLY ANSWER IF YOU KNOW THE ANSWER
I WILL BE REPORTING ANSWERS THAT HAVE NOTHING TO DO WITH THIS ​

Answers

Answer: c and e

Step-by-step explanation:

PLease answer the slope
!!!!!!!!!!!!!!!!!!!

Answers

-2/1 or -2

Ignore this, Brainly be saying my answer should have more words-_-

In a sale, a blow dryer is marked down from $18.98 to $11.39.
What is the percent decrease?

Answers

The answer is: 40%

Hope this helps!

The percent decrease is 61.94%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

In a sale,

a blow-dryer is marked down from $18.98 to $11.39.

Let n be the percent decrease.

So,

n = 11.39 x 100/18.39

n = 61.94

Therefore, the required percentage is 61.94%.

To learn more about the percentage;

https://brainly.com/question/24159063

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15+10f=-12 does someone knows this one?

Answers

Answer:

f = - 2.7

Step-by-step explanation:

15 + 10f = -12

10f = -12 - 15

f = -27/10

f = - 2.7

Hello! if anyone could help me I'd really appreciate it!. Thanks !​

Answers

Answer:

the first one i think

Step-by-step explanation:

-3 is the y-intercept and that i all i got, sorry :(

Answer:

Its the first one! <3

58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15

Answers

Answer:

a

Step-by-step explanation:

If 25⋅26=n, then which division equation is also true?



n÷26=25

26÷25=n

25÷n=26

25÷26=n

Answers

9514 1404 393

Answer:

  n÷26=25

Step-by-step explanation:

Starting with the equation ...

  25·26 = n

you can divide both sides of it by 26 to get ...

  25 = n ÷ 26 . . . . matches choice A

Determine the solution for x^2-3x-28=\> 0

Answers

Answer: x = -4 or x = 7

Step-by-step explanation:

x^2 - 3x - 28 =/>

(factor)

(x^2 + 4)(x-7) = 0

x + 4 = 0 or x - 7 = 0

(subtract -4 from 0 and 7 from 0)

x = -4 or x =7

Answer:

(infinity, -4] or [7, infinity).

Step-by-step explanation:

right on edge


Three friends each have some ribbon. Carol has 54 inches of ribbon, Tino has 10.5 feet of ribbon, and
Baxter has 45 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and
yards

Answers

Answer:

1800 inches, 150 feet, and 50 yards

Step-by-step explanation:

First, lets start in inches. multiply 45 by 3, to get 135 feet, and add that with 10.5 to get 145.5 feet. multiply that by 12 to get 1746 inches, and add 54 to that to get 1800 inches. divided that by 12 to get 150, and divided 150 by 3 to get 50.

john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.

Answers

Answer:

it eats five mince meat everyday

I dont understand this

Answers

Answer:

x=66

Step-by-step explanation:

180-114=66

Interior angles on the same side of transversal are supplementary (180°).

So,

x + 114° = 180°

=> x = 180° - 114°

=> x = 66°

What is 40% of 60????

Answers

The answer: 40% of 60 is 24

Answer:  40% of 60 = 24

Find the equation of the line that passes through points A and B

Answers

The answer is y=2x-1
Find slope using formula
(Y2-y1)/(x2-x1)
The points: (4,7) , (2,3)
(3-7)/(2-4) = -4/-2 = 2
Y = 2x + b
Plug in a point to find b
7 = 8 + b, b = -1
Equation y = 2x - 1

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Answers

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Line b passes through (3, 4) and (0, 2).
is it parallel?

Answers

Answer:

no perpendicular

Step-by-step explanation:

On the set of axes below, triangle ABC is graphed. Triangles A'B'C'
and A"B"C", the images of triangle ABC, are graphed after a
sequence of rigid motions.

Answers

Answer:

Step-by-step explanation:

a reflection followed by a rotation

The sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. Graphs are used to map out functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis and a vertical y-axis.

For the given situation,

The graph shows the triangle ABC plotted in the fourth quadrant.

The triangle A'B'C' are graphed in the third quadrant as its reflection.

The triangle A''B''C'' are graphed in the second quadrant by reflecting the triangle A'B'C' and then rotating it.

Hence we can conclude that the sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.

Learn more about graphs here

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PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION

Answers

Answer:

look

Step-by-step explanation:

When she simplified her radical she put 5x*2x and 12 squared

what she should ahve done is 5x*4x^2 square 3x

Can anybody help plzz?? 65 points

Answers

Answer:

[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]

[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]

Stationary Points: See below.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Calculus

Derivative Notation dy/dx

Derivative of a Constant equals 0.

Stationary Points are where the derivative is equal to 0.

1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undef

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]f(x)=\frac{8}{x} +2x[/tex]

Step 2: Find 1st Derivative (dy/dx)

Quotient Rule [Basic Power]:                    [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify:                                                      [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule:                                     [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify:                                                     [tex]f'(x)=\frac{-8}{x^2} +2[/tex]

Step 3: 1st Derivative Test

Set 1st Derivative equal to 0:                    [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides:                         [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides:                         [tex]-2x^2=-8[/tex]Divide -2 on both sides:                           [tex]x^2=4[/tex]Square root both sides:                            [tex]x= \pm 2[/tex]

Our Critical Points (stationary points for rel max/min) are -2 and 2.

Step 4: Find 2nd Derivative (d²y/dx²)

Define:                                                      [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]:                  [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify:                                                    [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule:                                    [tex]f''(x)=\frac{16}{x^3}[/tex]

Step 5: 2nd Derivative Test

Set 2nd Derivative equal to 0:                    [tex]0=\frac{16}{x^3}[/tex]Solve for x:                                                    [tex]x = 0[/tex]

Our Possible Point of Inflection (stationary points for concavity) is 0.

Step 6: Find coordinates

Plug in the C.N and P.P.I into f(x) to find coordinate points.

x = -2

Substitute:                    [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply:            [tex]f(-2)=-4-4[/tex]Subtract:                       [tex]f(-2)=-8[/tex]

x = 2

Substitute:                    [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply:            [tex]f(2)=4 +4[/tex]Add:                              [tex]f(2)=8[/tex]

x = 0

Substitute:                    [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate:                      [tex]f(0)=\text{unde} \text{fined}[/tex]

Step 7: Identify Behavior

See Attachment.

Point (-2, -8) is a relative max because f'(x) changes signs from + to -.

Point (2, 8) is a relative min because f'(x) changes signs from - to +.

When x = 0, there is a concavity change because f"(x) changes signs from - to +.

Convert 4/7 to 42nds

Answers

Answer:

24... I hoped dis helped.

which table represents a nonlinear function? Help please!

Answers

The second one or the middle table mark Brainliest please
I think that the answer is the 2nd table

MATH ANSWER IF YOU LIKE THESE SONGS
Muffin time
life is fun
i like trains

Answers

Answer:

1 + 1 = 2 - 3= maths

Step-by-step explanation:

yes dfuilwfjkwdlwo

Answer:

i like trains CHOOOOOO

Step-by-step explanation:

Which number would make this inequality true?


______ <0.271



0.27100


0.28


0.21


0.309

Answers

0.21 because it is the only one smaller than 0.271 plz mark brainliest, trying to be virtuoso
that answer is correct also ^^^

question says.

which number would make this inequality true?________< 0.271

answer is

0.21

have a good day!!

i need help asappppp​

Answers

Answer:

make them all the separate rectangle

like 5*8+5*8+12*(15-8) = Answer

got it ?

Answer:

5*8=40

+5*8=40

+(15-8)= 7*12 =84 + 80

=164

Step-by-step explanation:

ps  happy thanksgiving

Helps me solve this problem please

Answers

Answer:

A.

Step-by-step explanation:

You just plug in the numbers

y = x - 7

-5 = 2 - 7

- 5 = - 5

This makes this equation true.

Several Friends meet at an ice cream parlor.They order 5 ice cream cones and 3 sundaes and pay a total of $27.30.The ice cream cones cost a total of $14.25.What is the cost of one sundae?

Answers

Answer:

$4.35

Step-by-step explanation:

Answer:

the sundaes would have been $4.35 a peice! This is simple math i used a calculator! Dont waste your points! :)

Step-by-step explanation:

$27.30

- $14.25

________

13.05 Divided by 3 is = $4.35!

ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)





The value of x is degrees.

Answers

Answer:

look below

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Basically since both sides have the same length which means that they will have the same angle degree (consist of the same side).
180-102 = 78
78/2=39
Answers is : x=39
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The production of 2-methyl-2-phenyl propane. This would be a two-step synthesis.Can someone explain what is this reaction ? YCD, Inc., has sales of $5,783, total assets of $2,604, and a debt-equity ratio of 0.75. If its return on equity is 11 percent, what is its net income? This question is easy, but the person who answers this gets 100 points! Be fast!What is (4 x 4) x ((5^2) x 1)A. 500B. 400C. 50D. 40 Cattle and buffalo share a similar fundamental niche, the entire set of conditions under which a population can survive and reproduce. A realized niche is the set of conditions actually used by a given population. Explain what the data in the Venn diagram suggest about the realized niches of the cattle and buffalo and their ability to coexist. Use evidence to support your explanation. Can someone write like an 8 sentence paragraph about themselves I don't feel comfortable talking about myself or give me some ideas PLZ ANSWER ASAP ONLY IF YOU ARE CORRECT!!! simplefy the equation In other cases, researchers use natural experiments in which the dependent variable (typically a measure of organism health) is measured under differing contexts that are not manipulated. Say, for example, that an accidental chemical spill contaminates five ponds. To determine the possible effects of the toxic chemical on frogs, a researcher could compare the hatching rate of frog eggs laid in those five ponds to the hatching rate of eggs laid in five uncontaminated ponds nearby. This would be an example of a natural experiment because concentrations of the toxic chemical in the ponds were not controlled by the experimenter, but rather resulted from the chemical spill.Drag type of experiment on the left to the example of experiment on the right.A. Natural B. Manipulative 1. ______: Blood concentrations of BPA in college students are compared to their recent consumption of canned food items 2. _____: The feeding behavior of fish in streams that receive acidic runoff from strip mines is compared to the feeding behavior of fish in unaffected streams. 3. _____: The deformity rate in baby birds from nests in pesticide-sprayed fields is compared to the deformity rate in birds from nests in unsprayed fields.4 ______: Tumor development is compared in mice exposed to five dosages of a known carcinogen in the laboratory.5. ______: Foraging activity levels are compared in tadpoles exposed to four concentrations of toxic metals in the laboratory. 6. ______: Growth of corn plants is compared in field plots sprayed with three different dosage:s of weed killer 7.7. ______: BPA concentrations in the urine of people with diabetes are compared to BPA concentrations in the urine of people without diabetes Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4 Why did epimetheus wanted to marry Pandora Answer theseWhich period in the history of Nepal is known as the 'Golden Age"? Please estimate 0.8 X 22. b) What is Curie temperature ? These are words you studied before reading Benjamin Franklin's proposal on education. See if you can match each word to its correct meaning.1.prosperity ..............................a.avoiding extremes in behavior or opinion2.harbor ....................................b.to have a thought or feeling3.merchant.....................................c. lack of knowledge or information4.ignorance ...............................d.a person involved in sales or trade5.cultivation..................................e.the act of developing a quality or skill6.moderation.................................. f. wealth and good fortune can someone please help.. will mark brainliest ! Did Abraham Lincoln want to end slavery because he thought it was not right? How has technology effected the way we communicate? Daiki is creating a database for a paint store. Each color of paint would have its own record which will include the color name price and size. The price of the paint will be in its own a) table b) file c) field d) format If the atomic number increases then the atomic radius should decrease right? So whats wrong with my data Human organisms, like the female pictured here, are composed of a variety of organ systems. Regardless of the organ system, certaincomponents remain constant. They arees )A)tissues and organs.B)cells, tissues, and organs.atoms, cells tissues, and organs.D)atoms, compounds, cells, tissues, and organs.