Answer:
Step-by-step explanation:
If you want to determine the domain and range of this analytically, you first need to factor the numerator and denominator to see if there is a common factor that can be reduced away. If there is, this affects the domain. The domain are the values in the denominator that the function covers as far as the x-values go. If we factor both the numerator and denominator, we get this:

Since there is a common factor in the numerator and the denominator, (x + 3), we can reduce those away. That type of discontinuity is called a removeable discontinuity and creates a hole in the graph at that value of x. The other factor, (x - 4), does not cancel out. This is called a vertical asymptote and affects the domain of the function. Since the denominator of a rational function (or any fraction, for that matter!) can't EVER equal 0, we see that the denominator of this function goes to 0 where x = 4. That means that the function has to split at that x-value. It comes in from the left, from negative infinity and goes down to negative infinity at x = 4. Then the graph picks up again to the right of x = 4 and comes from positive infinity and goes to positive infinity. The domain is:
(-∞, 4) U (4, ∞)
The range is (-∞, ∞)
If you're having trouble following the wording, refer to the graph of the function on your calculator and it should become apparent.
Answer:
30 dollars
Step-by-step explanation:
packages-$12.36 x 2=24.72
broccoli-$1.98/2=.99
milk-$3.49
$24.72+.99=25.71
$25.71+$3.49=29.20
$29.20+.80=30.00
she payed with $30.00
Answer:
-1.5
Step-by-step explanation:
Omg ur learning about integers, I'm learning about integers too, what grade are you in?
Answer:
B. 1 in = 7 ft
Step-by-step explanation:
Since on the scale the boat was 6 inches and the actual boat was 42 feet, we need to divide to see how many feet correlate to the number on inches on the scale. So we do 42 / 6, which equals 7. This means that for every inch on the scale, it will be 7 feet in real life.