A principle square root of a real number that's not negative, such as 49,
is the square root of that number that is not negative.If you take the square root of 49, you get either -7 or 7, since both

and

equal 49. However, the principle square root would be
A) 7, since it's not negative.
yes, to complete her goal she would need to run roughly 14.3 so this is more than enough
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
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In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64