Answer:
Step-by-step explanation:
<h3>Part A</h3>
<u>Solve the equation:</u>
- 6x² + 48x + 120 = 0
- x² + 8x + 20 = 0
- x² + 8x + 16 + 4 = 0
- (x + 4)² + 4 = 0
- (x + 4)² = - 4
The left side is positive and right side is negative so no solution
<h3>Part B</h3>
There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.
It means the diver won't reach the bottom of the lake
3.14 is smaller. the more the decimal is to the right the larger the number is
Answer:
y = sin(x- pi/2)
Step-by-step explanation:
Please see the attached image to see your graphs.
By simple inspection we can see that the sine is shifted pi/2 to the right.
We know this because sines are periodic functions with a period T = 2*pi
We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.
And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.
Time = Distance / speed
Time = 20 miles / 12mph
Time = 1 and 2/3 hours ( 1 hour and 40 minutes)