The lenght would be 12*4 is 48
Convert the two fractions into simpler fractions: 3 2/5 --> 17/5 and 4 1/5 --> 21/5. Notice the the denominators are identical, so we simply add the numerators: (17 + 21)/5 = 38/5 = 7 3/5.
There is an easier way to do this, this is just the most clear way of seeing everything.
C and E are the corrects answers
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
First you must change 60 into a fraction by putting it over 1
×
=
Then you divide the numerator(top) by the denominator(bottom) to get the answer
300÷6=50
Your answer is 50
