Answer
Please see attached image for full understanding of the solution
If we plot the function we can see that it has a discontinuity at x = 1.
Also,
If we evaluate at x = -9, we see that the values of the piecewise function in both cases are completely different.
Therefore, x = -9 is also a discontinuity.
The right answer is option a
(discontinuity at x = 1 and x = -9)
Step-by-step explanation:
First we need to determine the length of the path they're walkin on. We do this with the following equation:
Let's fill it in:
They walk 7:5 respectively 7+5=12 so on 6 units they'll walk 12/6=2 so 7/2:5/2=3.5:2.5
3.5 units right from (1,6) is 1+3.5=4.5 which gives us (4.5,6)
Answer:
Height of Nurek dam = 300 m
Explanation:
Let the height of Rogun dam be a p and height of Nurek dam be q.
The Rogun dam is 35 meters taller than the Nurek dam
p = q + 35
p - q = 35 ------------------------Equation 1
Together they are 635 meters tall
p + q = 635 ------------------------Equation 2
Equation 1 + Equation 2,
2 p = 635 + 35
p = 670/2 = 335 m
Substituting in equation 2
335 + q = 635
q = 300 m
Height of Nurek dam = 300 m
Simple interest = PitwhereP=principal= 18467i=annual interest rate=12.6%=0.126t=time in years=8/12=2/3
Therefore
interest = 18467*0.126*2/3=$1551.23 after 8 months
