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 write down the number of sides that it has.
Let "n" represent the number of sides.
So you have a hexagon which of course is 6 sides.
The next step is to find the SUM of Interior Angles which is (n-2) x 180
So 6 - 2 is 4 and x 180 = 720
The last step is to divide by the original number of sides the polygon has. So since a hexagon has 6 sides, you'd do 720 / 6 =120
Your answer is 120
Answer:
Step-by-step explanation:
Answer:
p = 3/24
Step-by-step explanation:
-3p + 1/8 = -1/4
-3p = -1/8 - 2/8
-3p = -3/8
-3p/3 = -3/8 ÷ 3
-p = -3/8 x 1/3
-p = -3/24
-p/-1 = -3/24/-1
p = 3/24
Check:
-3p + 1/8 = -1/4
-3(3/24) + 1/8 = -1/4
-9/24 + 1/8 = -1/4
-3/8 + 1/8 = -1/4
-2/8 = -1/4
-1/4 = -1/4
