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Bumek [7]
3 years ago
14

Is 100 t-shirts for $428.00 proportional to 3,000 t-shirts for $12,180.00?

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

No 3,000 t-shirts are = to 12,840.

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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 <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> 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, <u>your answer is C. x = 2 or x = 3.</u>

8 0
3 years ago
Z=y+mx. Solve for x. I need the answer fast
Simora [160]
If you want x, rearrange <span>Z=y+mx as follows:  mx = z - y.  Then div. all 3 terms by m:
        z-y
x = -------    (answer).
          m </span>
8 0
3 years ago
Consider the equation y=-2x+5. Describe everything you know about this graph compared to the parent linear function y=x.​
Mekhanik [1.2K]
Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2

function y = x
slope of 1
y intercept at 0
x intercept at 0
8 0
2 years ago
Aboard is 4 ft 8 in long how long is the board in meters
andreev551 [17]

If a board is 4ft 8 in long than it is 1.4224 meters long

3 0
3 years ago
What is the area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a length of 48
Nesterboy [21]

Answer:

The area of cylinder 949.536 in²

Step-by-step explanation:

Points to remember

Curved surface area of cylinder = 2πrh

Where r - radius of cylinder

h - Height of cylinder

<u>To find the area of cylinder</u>

Here r = diameter/2 = 6.3/2 = 3.15 in

h = 48 in

Area =  2πrh

 = 2 * 3.14 * 3.15 * 48

= 949.536 in²

Therefore area of cylinder 949.536 in²

4 0
3 years ago
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