Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
I believe it is -8y + 5x - 3
The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds
<h3>How to determine the time the balloon is at the height?</h3>
The equation of the function is given as
h(t)= -16t^2 + 35t + 5
The above equation is a quadratic equation
When the balloon is at a height of 7 feet, we have
h(t) = 7
So, we have the following equations
h(t)= -16t^2 + 35t + 5
h(t) = 7
Next, we plot the equations on a graph (see attachment)
The equations intersect at
t = 0.059 and t = 2.129
Approximate
t = 0.1 and 2.13
Hence, the times are 0.1 seconds and 2.13 seconds
Read more about quadratic equation at
brainly.com/question/15709421
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Answer:
D.(2, 2)
Step-by-step explanation:
- Staring point = (2, -4)
- Since he moved 6 units up, so, there will be change in only y-coordinate of the starting point and x-coordinate will remain unchanged.
- End point of the segment = (2, - 4 + 6) = (2, 2)