1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olganol [36]
3 years ago
9

ASAP! I really need help with this question! No nonsense answers, and please attach the solution.

Mathematics
2 answers:
uysha [10]3 years ago
5 0

Answer:

\boxed{\sf Option \ 4}

Step-by-step explanation:

\sqrt{2x-3} +x=3

Subtract x from both sides.

\sqrt{2x-3} +x-x=-x+3

\sqrt{2x-3}=-x+3

Square both sides.

( \sqrt{2x-3})^2 =(-x+3)^2

2x-3=x^2-6x+9

Subtract x²-6x+9 from both sides.

2x-3-(x^2-6x+9 )=x^2-6x+9-(x^2-6x+9)

-x^2 +8x-12=0

Factor left side of the equation.

(-x+2)(x-6)=0

Set factors equal to 0.

-x+2=0\\-x=-2\\x=2

x-6=0\\x=6

Check if the solutions are extraneous or not.

Plug x as 2.

\sqrt{2(2)-3} +2=3\\ \sqrt{4-3} +2=3\\\sqrt{1} +2=3\\3=3

x = 2 works in the equation.

Plug x as 6.

\sqrt{2(6)-3} +6=3\\ \sqrt{12-3} +6=3\\\sqrt{9} +6=3\\3+6=3\\9=3

x = 6 does not work in the equation.

Leviafan [203]3 years ago
4 0

Answer:

option d

Step-by-step explanation:

\sqrt{2x-3}+x = 3\\\\\sqrt{2x-3} = 3 -x\\

Square both sides

(\sqrt{2x-3})^{2}=(3-x)^{2}\\\\\\2x-3=9-6x+x^{2}\\\\0=x^{2}-6x + 9 - 2x + 3\\   {Add like terms}

x^{2} - 8x + 12 = 0

Sum = -8

Product = 12

Factors =  -2 , - 6

x² - 2x - 6x + (-2) * (-6) = 0

x(x -2) - 6(x -2) = 0

(x -2) (x - 6) = 0

x - 2 =0   ; x - 6 = 0

x = 2      ; x = 6

roots of the equation : 2  , 6

But when we put x = 6, it doesn't satisfies the equation.

When x = 6,

\sqrt{2x-3} + x = 3\\\\\sqrt{2*6-3}+6 = 3\\\\\sqrt{12-3}+6=3\\\\\sqrt{9}+6=3\\\\

3 + 6≠ 3

Therefore, x = 2  but x = 6 is extraneous

You might be interested in
Solve the math problem
Nadusha1986 [10]

<u>Answer:</u>

Below!

<u>Explanation:</u>

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

  • 2¹ = 2
  • 3⁵ = 3 x 3 x 3 x 3 x 3 = 243
  • 4³ = 4 x 4 x 4 = 64
  • 6⁴ = 6 x 6 x 6 x 6 = 1256
  • 7⁴ = 7 x 7 x 7 x 7 = 2401
  • 1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
  • 8² = 8 x 8 = 64
  • 2³ = 2 x 2 x 2 = 8
  • 4⁴ = 4 x 4 x 4 x 4 = 256
  • 10³ = 10 x 10 x 10 = 1000
  • 12² = 12 x 12 = 144
  • 5⁴ = 5 x 5 x 5 x 5 = 625
  • 6² = 6 x 6 = 36
  • 3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
  • 7³ = 7 x 7 x 7 = 343
  • 2⁴ = 2 x 2 x 2 x 2 = 16
  • 11⁰ = 1
  • 4³ = 4 x 4 x 4 = 64
  • 1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0
2 years ago
Identify the parent function​
const2013 [10]

Answer: D

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
Find the value of x in each case:
quester [9]
X + 100 = 4x +49
x= 17


158+148+32+x = 360
338+x= 360
x= 22
5 0
3 years ago
Read 2 more answers
In one week there are 10,080 minutes. What is this number in scientific notation?​
zalisa [80]

Answer:

1.0080 x 10^4

Step-by-step explanation:

in scientific notation the number has to be less then 10

10080 / 10000 = 1.0080

1.0080 x 10^4

5 0
3 years ago
Consider the null hypothesis, H0: µ = 4,000, at the 1% level of significance. If the z-test statistic is calculated to be 6.00,
kow [346]

Answer:

Option B) Reject null hypothesis      

Step-by-step explanation:

We are given the following in the question:

We are given the null hypothesis:

H_0 = 4,000

\alpha = 0.01

z_{stat} = 6.00

Two tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = \pm 2.58

Since,  

The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.

Left-tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = -2.58

Since,  

z_{stat} > z_{critical}

We fail to accept and reject the null hypothesis.

Right-tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = 2.58

Since,  

z_{stat} > z_{critical}

We fail to accept and reject the null hypothesis.

7 0
3 years ago
Other questions:
  • Two consecutive numbers whose squares add up to 685
    13·1 answer
  • $32 increased by 35%?​
    9·2 answers
  • What is 6^2/3 in radical form
    8·2 answers
  • 20 minus 3.05 plus (-9.5) =<br><br><br><br> HELP ME PLEASE
    10·2 answers
  • Is the following relation a function? (1 point)
    11·2 answers
  • 4. Alan's go-kart travels 1600 feet per minute, and Barry's go-kart travels 23 miles per hour. Whose
    7·1 answer
  • Jason is training to run a marathon. His goal for this week is to run a minimum of 42 miles. So far this week, he has already ru
    9·1 answer
  • Angelique wants to have a rock that is 9 feet long, 7 feet wide. the rug will cover the whole floor except a border that is x fe
    15·2 answers
  • Find all missing angles.
    14·1 answer
  • Julius is studying populations of robins in the local area. He counts 12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!