For this case we have:
Diana:
mile in 5 minutes.
To find the speed we divide the distance by the time:
Thus, Diana's speed is
Fernando:
mile in
Thus, Fernando's speed is
We find the speed in miles per hour considering that an hour has 60 minutes.
Diana:
Fernando:
Answer:
Diana's speed is
Fernando's speed is
Answer:
The answer in the attached figure
Step-by-step explanation:
we have
Using a graphing tool
see the attached figure
The answer in the attached figure
Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
I believe the correct answer from the choices listed above is option C. The result of substituting y - 6 in for x in the first equation would be <span>5y - 30 + 10y = 18. This is done as follows:
</span><span>5x + 10y = 18
</span>5(<span>y - 6)</span> + 10y = 18
5y -30 +10y = 18
Hope this answers the question. Have a nice day.