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Alex73 [517]
1 year ago
12

THE

Mathematics
1 answer:
Andru [333]1 year ago
7 0

Answer: x=0

Step-by-step explanation:

x=4+(4x-4)\\\\x=4+4x-4\\\\x=4x\\\\3x=0\\\\\boxed{x=0}

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If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?
Anika [276]
Add all them up. 5+8+2 = 15

How many yellows? 8/15 = 0.533 ~~ 53%
3 0
2 years ago
Read 2 more answers
Determine if the two triangles are congruent. If they are state the condition
Varvara68 [4.7K]

Answer:

They are congruent, SAS, hope am right, wasn't sure about this

3 0
3 years ago
A rectangular tank with a square​ base, an open​ top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet
Vlad [161]

Answer:

  26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

  2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

<em>Solution using derivatives</em>

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

  x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

  2x -35152/x^2 = 0

  x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

  x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0
3 years ago
Identify the roots of the function g(x) = x^2 - 8x + 16
amm1812
Only 4 because result is (x-4)(x-4) that means (x-4)^2=0
So
X-4=0
X=4
8 0
3 years ago
Explain how you know that x^2-8x+20 is always positive. <br> Please help.
IRISSAK [1]

Answer:

if you rearrange to complete the square, you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0, so positive

Step-by-step explanation:

4 0
2 years ago
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