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astraxan [27]
3 years ago
10

What is the domain of this function? {x| x > }

Mathematics
2 answers:
Feliz [49]3 years ago
8 0
Notice that it starts at x = 0 with closed dot then it goes to the right.

So the domain would be {x | x ≥ 0}

Hope this helps.
strojnjashka [21]3 years ago
8 0
The graph defines the function for all values of x greater than or equal to zero.
  {x | x ≥ 0}

_____
The solid dot at (0, 9) indicates x=0 is part of the domain. The arrow at the right end of the line indicates the domain extends to +∞.
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What is true about the solution of x^2/2x-6=9/6x-18?
pogonyaev

Answer:

  • x = ±√3, and they are actual solutions
  • x = 3, but it is an extraneous solution

Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

... 6x^2(x -3) -18(x -3) = 0

...6(x -3)(x^2 -3) = 0

... x = 3, x = ±√3

_____

Alternatively, you can subtract the right side of the equation and collect terms to get ...

... x^2/(2(x -3)) - 9/(6(x -3)) = 0

... (1/2)(x^2 -3)/(x -3) = 0

Here, the solution will be values of x that make the numerator zero:

... x = ±√3

_____

So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

_____

<em>Comment on the graph</em>

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

7 0
3 years ago
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It takes levar four hours to drive 252 miles what is levar unit rate at this rate how far will Levar Drive in seven hours
otez555 [7]
In four hours, he drives: = 252

So, Unit rate = 252/4 = 63 mph

In seven hours, it would be = 63 * 7 = 441 miles

Hope this helps!
5 0
3 years ago
OMG PLEASE HELP ME! I NEED YOUR HELP
zzz [600]

Answer:

60 degree

Step-by-step explanation:

I don't know the process though

4 0
2 years ago
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WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
guapka [62]

Answer:

Solution:

the boat's speed in still water: x

The speed with current: (x+3)

The speed against current: (x-3)

The equation is

3(x+3) = 4(x-3)

x = 21 mph

The distance = 3*(21+3)= 72 miles

I  choose (A)

Step-by-step explanation:

7 0
3 years ago
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Using the formula C=2TTr, find the circumference of a circle with a diameter of 28 in. round your answer to the nearest inch
slava [35]

radius = diameter/2

so 28/2=14

 using 3.14 for PI

2*3.14*14 = 87.92 = 88 inches

3 0
3 years ago
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