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

There are 2 blue, 3 green and 10 red marbles in a bag. What is the Probability of pulling a red marble, replacing it, then pulling a blue marble?

Answers

Answer:

i think its this..   ._.

Step-by-step explanation:

if red is 10, and pulling a blue is 2, there is a 10/15 chace you will get a red, but a 2 out of 15 chance you will get a blue

What is 6^4 x 6 1/4????

Answers

Answer:

8100

Step-by-step explanation:

What is the area of the triangle?
10 km
10 km
square kilometers

Answers

The answer is 50 because the formula for the area of a triangle is base x hight x 1/2. So if we plug both the 10s into the formula you get 10x10 which = 100 then divide that by 2 and you get 50. Hope it helps :)

how do you solve
x-3y=-5
x+3y=1

Answers

Answer:

I got you fam

Step-by-step explanation:

First One:

x -3y = -5

x = -5 + 3y

Or

x -3y = -5

-3y = -5 -x

y = 5/3 + x/3

Second one:

x +3y = 1

x = 1 - 3y

Or

x + 3y = 1

3y = 1 -x

y = 1/3 - x/3

Use elimination
x - 3y = -5
x + 3y = 1
Subtract both sides
-6y = -6, y = 1
x - 3(1)= -5
x - 3 = -5, x = -2
Final answer: x = -2, y = 1

Are these answers right or some wrong? If some wrong plz answer them correct thanks!

Answers

You are wrong.

1, 2, 3 and 4 are correct.

5. 75%

6 is also correct

7. 100%

8. 50%

No they aren’t, you got most right:)

Question 10
Evaluate 122 – 3 [4 () – (18)].

Answers

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

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


(a) (4,4) is a point on a locus whose equation is y2 = kx. Show that (16,8) is another point on the locus.
(b) (2,3) is a point on a locus whose equation is 5x +by= 16. Show that (0,8) is another point of the locus​

Answers

Step-by-step explanation:

plug the coordinate points into the equations and solve for the remaining variable.

b) (2,3) - 5(2) + b(3) = 16

10 + 3b = 16. 3b= 6. b = 2

(0,8) - 5(0) + 2(8) = 16. 0+ 16 = 16. ☆

a) (4,4) assume based on results you meant y squared. (y^2)

(4)^2 = 4k. 16 = 4k. k = 4

(8)^2 = 4(16). 64 = 64. ☆

Answer:

Please check the explanation.

Step-by-step explanation:

a)

Given

(4,4) is a point on a locus whose equation is y²=kx

Putting (4, 4) in y²=kx

(4)² = k(4)

16 = 4k

k = 16/4

k = 4

Checking the point (16, 8) on the locus

y²=kx

Putting (16, 8) and k =4 in y²=kx

y²=kx

(4)² = 4×4

16 = 16

L.H.S = R.H.S

Therefore, (16, 8) is another point on the locus.

b)

Given

(2, 3) is a point on a locus whose equation is 5x +by= 16

Putting (2, 3) in 5x +by= 16

5x+by=16

5(2)+b(3)=16

10+3b=16

3b=6

b=6/3

b=2

Putting (0, 8) and b=2 in 5x +by= 16

5x +by= 16

5(0)+2(8)=16

0+16=16

16=16

L.H.S = R.H.S

Therefore, (0, 8) is another point on the locus.

Please I will give brainylest if the answer is correct

Answers

Answer:

a^n +3

Step-by-step explanation:

simpify: a^na^3:\quad a^{n+3}

a^{n+3}

8
The statement “x > 4 and 2x – 4< 6" is true when x is
equal to
A1
B 10
C 5
D 4

Answers

Answer:

the new year will have the other

Step-by-step explanation:

u3ueufjfjtjfjfj was calling for an accident that killed

Number 2.
A homeowner is wanting to pave his
drive way. He was quoted for every 240
bricks it would cost $30. Find the unit
rate.

Answers

240/30 is 8 i believe the answer is 8

Hey everyone I need help on the questions please!:)​

Answers

Answer:

a. 1/2

b. 1 hair cut

c. 2.5

Step-by-step explanation:

4/8 divde by 4 to simplify and that gets you 1/2

8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

Math Glass Worksheet (A lot of points)
Can someone tell me what to put in the rest of these columns

Answers

Answer:

You can chose 3 in 5 :o

Step-by-step explanation:

use the picture to create a ratio between the football and baseball

Answers

Answer:

there are no pics

ya I can't see one

Answer:

3,6 1 to 2

Step-by-step explanation:

What does 24 square root using perfect squares look like?

Answers

Each side is 6 square roots

Answer:

4.899

Step-by-step explanation:

4.899×4.899=24

I know cause I googled :)

CORRECT ANSWER GETS BRAINLIEST!!!

The least-squares regression equation
y = 120 + 40x can be used to predict the cost of renting a backhoe for x hours. Suppose it costs $325 to rent a backhoe for 5 hours.
Calculate the residual for renting the backhoe for 5 hours, to the nearest hour.
The residual is _____​

Answers

Answer:

5

Step-by-step explanation:

just did on edge

The residuals is $5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given, The least-squares regression equation

y = 120 + 40x

This equation can be used to  predict the cost of renting a backhoe for x hours

If  it costs $325 to rent a backhoe for 5 hours.

We need to Calculate the residual for renting the backhoe for 5 hours,

Plug 5 in place of x in equation

y=120+40(5)

y=120+200

y=320

Since the The observed value is $325.

To find residual for renting the backhoe for 5 hours

We have to separate 320 from 325

325-320=5

Hence the residual is 5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer​

Answers

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

Answer:

Total Mangoes = 50

Rotten =  46

Step-by-step explanation:

50 divided by 10 = 5.

50 minus 4 is 46.

if angle ABC=2x and angle CBD=4x and they are a linear pair, solve for x

Answers

2x+4x=180(linear pair)
->x=30

Which of the following numbers is divisible by both 5 and 10

Answers

Answer:

5

Step-by-step explanation:

Answer:

1 or 5

Step-by-step explanation:

cuz 1 divided by 5 =5 and 10 divided by with 1 =10

but 5 divided by 1 = 5 and 10 divided by 5 = 2

The expression (x3)(x-15) is equivalent to xn. What is the
value of n?

Answers

Answer:

-45 is xn

The x=3 and x=-15 multiply them together which is the answer to xn

state the value of digit 2 in the number 1326g , in base ten​

Answers

Answer:

20

Step-by-step explanation:

2*10

= 20

PLS GIVE BRAINLIEST

i think 64 I’m not sure though

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account. ​

Answers

Answer:

A, C

Step-by-step explanation:

Maybe A and C because its reflecting in the opposite direction which is 180

The 10th power of t

Answers

Answer:

t¹⁰

Step-by-step explanation:

The 10th power of t:

t¹⁰

Dena has 6.25 inches of blue ribbon, 0.375 foot of orange ribbon, and 0.5 yard of green ribbon. How many inches of ribbon does Dena have altogether?

Show or explain your work through either decimal or fractional calculation.

Answers

Answer:

28.75in

Step-by-step explanation:

We are expected to convert all units to inches in this problem

Step one:

given data

blue ribbon=6.25 inches

orange ribbon=0.375 foot

green ribbon=0.5 yard

Step one:

convert orange ribbon=0.375 foot to inches

1 ft = 12 in

0.375ft=xin

cross multiply

x=12*0.375

x=4.5in

orange ribbon= 4.5in

convert green ribbon yd to inches

1 yd = 36 in

0.5 yd=xin

cross multiply

x=36*0.5

x=18in

green ribbon= 36in

total lenght in inches =6.25+4.5+18

=28.75in

WILL GIVE BRAINLIEST!!!!!!1
Consider this system:
3x + 1/2y = 3
6x - y = 2
Which of the following operations would eliminate the y-terms if the two equations were added together afterward?

A. Multiply the first equation by -2.

B. Multiply the first equation by 2.

C. Multiply the second equation by -2.

D. Multiply the second equation by 2.

Answers

Answer:

B. Multiply the first equation by 2

hope this helps tell me if you need more :)

Multiply the first equation by 2 then the variable y will be eliminated. Then the correct option is B.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Consider this system:

3x + 1/2y = 3 ...1

6x - y = 2     ...2

The operations would eliminate the y-terms if the two equations were added together afterward will be

Multiply the first equation by 2. Then we have

6x + y = 6

6x -  y = 2

Add the above equations, then we have

12x = 8

y is eliminated.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Pls help with this asap

Answers

Answer:

Step-by-step explanation:

5227 in ^3
Hope this helps

asap I have 3 minutes

Answers

The second choice is the answer

Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?

Answers

Answer:

9

Step-by-step explanation: 3x4= 12  -3=9

Answer:

what's nelly's age

Step-by-step explanation:

4x divided by 3?

WILL GIVE BRAINLIEST

Answers

We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø

Alicia is setting up a volleyball net and needs to support the posts with a rope. The volleyball post is 8 feet tall and Alicia placed a stake 6 feet from the
base of the post. The rope needs to reach from the top of the post to the stake. How long does the rope need to be?

Answers

According to my examination I have confirmed that I do NOT repeat do NOT know the answer to this question. Good luck!

Answer: answer is 10

Step-by-step explanation:

8 x 8 = 64

6 x 6 = 36

64 + 36 = 100 cm2

100 cm2 = 10

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