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cluponka [151]
2 years ago
8

Tom swam to the bottom of a swimming pool that was 9 feet deep and he touched the

Mathematics
1 answer:
zmey [24]2 years ago
7 0

Answer:

18 I guess if he can swim straightdown and straight  up :-)

Step-by-step explanation:

9+9=18

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Find the domain x^2-25/2
Mumz [18]
For this, I am assuming that -25/2 is not a part of the exponent(although in future questions you should make this clear by using parenthesis.

When I do problems like this, I come to CBAD.  where the variables are y=A(Bx+C)+D

CBAD helps significantly in domain and range problems where there is a well known parent function.  (y=x^2, y=sqrt(x), y=1/x, y=x, etc).  Basically, if there is a parent function with slight additions(y=2*x^2, y=sqrt(x+1), y=1/(5x), y=3x, etc)

This works that in the order, a C term shifts the graph horizontally in the opposite direction expected (a negative number will shift right, a positive number will shift left).  For example, if C is -2, the graph of the parent function will shift right 2.
Then, a B term dilates(changes the horizontal size of the graph) by the factor 1/B(every x value is multiplied by 1/B).  Thus a B >1 will shrink the graph horizontally, and a 0<B<1 with stretch the graph horizontally.  If B is negative, it reflects the graph over the y axis and then either shrinks or stretches horizontally.  If B is 1, nothing changes.
Then, a A term dilates(changes the horizontal size of the graph) by the factor A(every y value is multiplied by A).  Thus a A >1 will stretch the graph vertically, and a 0<A<1 with shrink the graph vertically.  If A is negative, it reflects the graph over the x axis and then either shrinks or stretches vertically.  If A is 1, nothing changes.
Finally, a D term shifts the graph vertically in the direction expected (a negative number will shift down, a positive number will shift up).  For example, if D is -2, the graph of the parent function will shift down 2.

<u>Warning </u><u></u><u>CBAD must be performed in the order C-B-A-D</u>

Now that you know these simple rules and can memorize the few parent functions, you can figure out the domain and range of almost any function.  

In your case, the function x^(2)-25/2 is not much different than x^2, an upwards facing parabola centered at (0,0).  In fact, there is only one transformation, D, because C=0 (it is not shown), B=1(it is not shown), and A=1(it is not shown).  Thus the only difference between your graph and the parent function is that yours is shifted down by 25/2.  

For this reason, because the domain of x^2 is not restricted (it includes all real numbers), the domain of your new function is not restricted (it includes all real numbers).
8 0
3 years ago
The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyrami
Andre45 [30]
3 times length(l) times width(w) times height(h) over 7. So 3l • w • (h/7)
7 0
3 years ago
How exactly do you do this I understand this a little more but need a little push :(<br>​
Hitman42 [59]

Answer:

(2, 12)

Step-by-step explanation:

You do it by adding

2 and 0.

4 and 8.

3 0
3 years ago
What is the greatest common factor of 3x4, 15x3, 21x2
Sonja [21]

Answer:

3x^2

Step-by-step explanation:

6 0
2 years ago
Please help will give brainliest
butalik [34]

Answer:

360 m is the answer........

6 0
3 years ago
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