Help 10 points please
1 answer:
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Answer:
Step-by-step explanation:
Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours after the storm ended, after the storm ended, the depth of snow was down to 9 inches.
Snow melted in 4 hours =
Initial depth of snow = 9 + 3 inches = 12 inches.
Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)
Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.
Then,
To get the graph to have one x-intercept, we must find the m value where the discriminant of the equation will equal 0.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal -12 or 12.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal -12 or 12.