Answer:

Step-by-step explanation:
10 is totally greater or equal to 3, so we're using the 3rd rule to evaluate it.

First let P(x) = g(x)/f(x) = x^2 - 9 / 2 - x^0.5
The domain of the nominator is any value
The domain of the denominator is
Zeros of the denominator
2-x^0.5 = 0
-x^0.5 = -2
x^0.5 = 2
x = 4
domain of x^0.5 is x >= 0
(0,4) and (4, inf)
To solve for <em>x</em>, we must first isolate the term containing <em>x</em> which in this problem is 5x.
Since 10 is being added to 5x, we subtract 10 from both sides of the equation to isolate the 5x.
On the left, the +10 and -10 cancel out and on the right, 20 - 10 is 10 and we have 5x = 10.
Now we can finish things off by just dividing both sides of the equation by 5. On the left the 5's cancel and on the right, 10 divided by 5 is 2 so <em>x = 2</em>.
Answer:
Perimeter = 25
Step-by-step explanation:
J(-2, 5)
K(1, 1)
L(1, -1)
M(-5, -4)
N(-5, 1)
Formula for distance between 2 coordinates is;
d = √((x_2 - x_1)² + (y_2 - y_1)²)
Thus;
JK = √((1 - (-2))² + (1 - 5)²)
JK = √25
JK = 5
KL = √((1 - 1)² + (-4 - 1)²)
KL = √25
KL = 5
LM = √((-5 - (-1))² + (-4 - (-1))²)
LM = 5
MN = √((-5 - (-5))² + (1 - (-4))²)
MN = 5
JN = √((-5 - (-2))² + (1 - 5))²)
JN = 5
Thus;
Perimeter = 5 + 5 + 5 + 5 + 5
Perimeter = 25
Answer:
The answer is B.10
Step-by-step explanation:
FIrst you have to find the rate of change in the table and the graph and keep going till you find they both equal the same.