Answer:
15.5 cm
Step-by-step explanation:
You want the difference between the values of x that make y=0. Solving for those values, we get ...
0 = -0.1(x -1)^2 +6
0 = (x -1)^2 -60 . . . . . . . . . multiply by -10
60 = (x -1)^2 . . . . . . . . . . . add 60
±√60 = x -1 . . . . . . . . . . . . take the square root
At this point, it should be obvious that the difference between the two solutions will be 2√60 = 4√15. If it is not, we can find the two solutions and take their difference:
x1 = 1 +√60
x2 = 1 -√60
Then the difference is ...
x1 -x2 = (1 +√60) -(1 -√60) = 2√60
60 has a square factor (4), so we can simplify this radical to ...
x1 -x2 = 4√15 ≈ 15.4919 ≈ 15.5
The ends of the rainbow are about 15.5 cm apart.
By evaluating the quadratic function, we will see that the differential quotient is:
Here we have the quadratic function:
Evaluating the quadratic equation we get:
So we need to replace the x-variable by "2 + h" and "2" respectively.
Replacing the function in the differential quotient:
If we simplify that last fraction, we get:
The third option is the correct one, the differential quotient is equal to 8 + 4.
If you want to learn more about quadratic functions:
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Answer: 30%
Step-by-step explanation:
Percent error =
Estimated number of games win this year = 7
Actual number of games won = 10
Now , the percent error of Doug’s estimate =
Hence, the percent error of Doug’s estimate = 30%
Answer:
169.25