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2 years ago

Sally earned $8.00 per hour working at sky Burger

Mathematics

1 answer:

olga2289 [7]2 years ago

4 0

Yes she did my dude she really did

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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

Determine which of the ordered pairs are a part of the solution set of y + 3 < 2x (0, –4)

lorasvet [3.4K]

Answer:

(2,0) and (2,-2)

Step-by-step explanation:

y+3<2x

(2,0) is solution because 0+3<2*2, 3<4 and

(2,-2) because - 2+3<2*2, 1<4

5 0

3 years ago

Read 2 more answers

Discs of radius 4cm are cut from a rectangular plastic sheet of length 84cm and width 24cm.How many complete discs can be cut ou

Ymorist [56]

A is the answer nnnjjjjhgddjhdbcjtz

5 0

2 years ago

Write the sentence as an equation. 62 more than the product of 150 and r is 40

Elenna [48]

Answer:

150 • r + 62 = 40

Step-by-step explanation:

6 0

2 years ago

What is the slope of a line PARALLEL to the graph?

SSSSS [86.1K]

If you mean parallel to another line, you have to find the the equation of that line. Lets just say it was y= 7x-2. To find the slope of a line parallel to that, then you look at the slope of that line, which in this case would be 7. The slope of a line parallel would have to be the same. So, I can't give you a direct answer because I can't see the graph but that is how you get the answer.

8 0

3 years ago