The average speed is the distance divided by the time.
Total distance:
12.8 miles + 17.2 miles = 30 miles
Total time:
noon - 9:00 a.m. = 3 hours
6:00 p.m. - 1:00 p.m. = 5 hours
Total time = 3 hours + 5 hours = 8 hours
average speed = 30 miles / 8 hours = 3.75 miles per hour
Answer:
<em>(3). 500; (4) 60</em>
Step-by-step explanation:
Answer:
(x+2)(3x+1) are the factors
Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = -16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:
(x + 4i)(x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
The numerator and denominator can be divided by 4 to get 12/25.
48 / 4 = 12
100 / 4 = 25