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2 years ago

A 20-sided die is rolled.

Mathematics

1 answer:

son4ous [18]2 years ago

4 0

Answer:

A) .25 or 25% or 1/4

B) .50 or 50% or 1/2

C) .55 or 55% or 11/20

D) .4 or 40% or 2/5

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What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for non extraneous solutions, or solutions that are found in the equation and are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$x(x-2)-3(x-2)=0$

Now you can rewrite the equation as $(x-3)(x-2)=0$

Now, apply the Zero Product Property and solve for x as such:

$x-3=0\\x=3\\\\x-2=0\\x=2$

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

$2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}$

Since both solutions hold true when x = 2 and x = 3, your answer is C. x = 2 or x = 3.

8 0

3 years ago

Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Dea

olga_2 [115]

Answer: Badwater is 282 feet below the sea level.

Step-by-step explanation:

Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.

To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.

i.e. The Depth of Badwater from sea-level = 190 feet +92 feet

= 282 feet

Hence, Badwater is 282 feet below the sea level.

3 0

3 years ago

There are five students of different ages. The median age is 13 years. What are two possibilities for the ages of the three olde

Xelga [282]

13 and 14 becuase 13 being the third largest and 14 being the second largest

4 0

2 years ago

Can someone help me…

aleksandr82 [10.1K]

Answer:

378$

Step-by-step explanation:

since u got 700ft^2 you would multiply 700 with 0.54 and get 378$

7 0

1 year ago

how many deliveries at 6.00 a delivery, would need to be completed inorder to reach 5000 dollar goal?

vampirchik [111]

834 complete deliveries

6 0

2 years ago

Read 2 more answers

￼ A 20-sided die is rolled.

A 20-sided die is rolled.