Answer:
They travelled the same distance and they spent the same amount of time from the 225 marker to 230 marker.
Step-by-step explanation:
Given
See attachment for graph
Required
The relationship between distance and time travelled by Kevin and Carrie
The straight line represents Kevin's journey while the curve represents Carrie's
From the graph, we can see that the straight line and the curve both start at the origin (0,0) and they both end at the same point (17,5)
Point (17, 5) represents the 230 marker (i.e. 225 + 5 - 230)
<em>Since the line and the curve meet at this point, then they travelled the same distance and they spent the same amount of time.</em>
Ans(a):
Given function is
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
<span>Table
Elapsed
Time (seconds) Distance Traveled (feet)
1 6.2
2 12.4
3 18.6
4 24.8
Explanation:
You can check that 6.2 / 1 = 12.4 / 2 = 18.6 / 3 = 24.8 / 4 = 6.2
So, the relationship between the distance traveled and the time elapsed is a constant:
distance traveled / time elapsed = 6.2
n / f = 6.2
=> n = 6.2 f
Answer: n = 6.2 f
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