From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by:

- Thus, it will be positive if:

- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation.

. Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.
Answer:
430p
Step-by-step explanation:
For this, we'll find the least common multiple for 15 and 18.
=> The least common multiple for 15 and 18 is 90
<u><em>Plastic Knives:</em></u>
Jace will buy 90 knives.
=> Packets = 90/18 = 5 Packets
Money for 5 Packets = 5 * 45
=> 225p
<u><em>Plastic Forks:</em></u>
Jace will buy 90 forks also.
=> Packets = 90/15 = 6 Packets
Money fro 6 packets = 6 * 41
=> 205p
<u><em>Least Amount of Money Jace will spend</em></u> = 225p+205p
=> 430p
42 because x is equal to its corresponding side
Answer:

Step-by-step explanation:
Given

Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:

Where:
and 
Q' will be:
