Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
Answer is no, only the base can be a rectangle
I'm guessing the last value you have down there that got cut off was the one we want. We need to set up the general form of the absolute value equation and then solve it for a:
![y=a[x-h]+k](https://tex.z-dn.net/?f=y%3Da%5Bx-h%5D%2Bk)
. I have no absolute value symbols so I just used brackets. We have a vertex (h, k) of (0, 0) and I picked a point on the graph to use as my x and y coordinates (4, 3). Let's fill in the equation now:
![0=a[0-4]+3](https://tex.z-dn.net/?f=0%3Da%5B0-4%5D%2B3)
. We will subtract 3 from both sides leaving -3 = a[-4]. The absolute value of -4 is 4 so now we have -3 = 4a. Divide by 4 to solve for a.

. So our equation is
9514 1404 393
Answer:
C f and g share no roots
Step-by-step explanation:
The roots of a polynomial function are the values of x that make factors of the function be zero.
f(x) = x(x +4). The roots of f are -4 and 0.
g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.
f and g share no roots in common.