Answer:
Step-by-step explanation:
First, look at y = log x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. A real zero occurs at x = 1, as log 1 = 0 => (1, 0). This point is also the x-intercept of y = log x.
Then look at y = log to the base 4 of x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. Again, a real zero occurs at x = 1, as log to the base 4 of 1 = 0 => (1, 0).
Finally, look at y=log to the base 4 of (x-2). The graph is the same as that of y = log to the base 4 of x, EXCEPT that the whole graph is translated 2 units to the right. Thus, the graph crosses the x-axis at (3, 0), which is also the x-intercept.
Answer: 4.75
Step-by-step explanation:
Answer:
Money owned by Steve = $11
Money owned by Ben = $13
Step-by-step explanation:
Let x denotes the money owned by Steve and y denotes the money owned by Ben.
Then, Steve gives $3 to Ben
Money left with Steve = x-3 and Ben = y+3
Now, Ben will have twice as much as Steve.
⇒ y+3 = 2(x-3) .............(1)
If Ben gives Steve $7
Money left with Steve = x+7 and Ben = y-7
Then, the amount Ben has will be one-third that of Steve’s.
⇒ y-7 = 
(x+7) ..........(2)
Solving equation (1) and (2) by elimination method, we get
x = 11 and y = 13
⇒ Money owned by Steve = $11
Money owned by Ben = $13
Answer:
12/30
Step-by-step explanation:
See the picture and let me know if you have any questions
Givens
<em><u>Slower car</u></em>
r = r
t = 12 hours
d = ?
<em><u>Faster car</u></em>
r = r + 20
t = 8 hours
d = ?
It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.
d = r * t
r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right
r*12 = 8r + 20*8
r*12 = 8*r + 160
r*12 - 8r = 8r - 8r + 160
4r = 160
r = 40 miles / hour
=================
Slower Ride determines the distance.
d = r*t
d = 40 * 12
d = 480
Check
Use the faster rate (r + 20) = 40 + 20 = 60 mph
60 * 8 = 480. Both distances work out to be the same.
