Answer:
Step-by-step explanation:
Here is an illustration of the problem:
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A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
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A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
Answer:
no idea
Step-by-step explanation:
no idea
Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:
Where is the height of the rock at a time .
Now, if we can find and then the velocity of the rock at that height:
Rearranging the equation:
Multiplying the equation by -1:
Solving with the quadratic formula , where , ,
.
Choosing the positive result of the equation:
Since velocity is defined as the traveled distance in a given time , we have:
This is the velocity of the rock at the height of 48 feet
Answer:
41
Step-by-step explanation:
x=12
so y=3⋅12 +5
=36+5
=41
(f+g)(x) = f(x) + g(x) = (|x| + 9 ) + (-6) =
|x| + 9 - 6 = |x| + 3
Answer is |x| + 3