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
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
Answer:
1. 11
2. 20
3. 34
4. 12.6
5. 18
6. 105
Step-by-step explanation:
We are told that ---> t = 0, x = 1.5, y = 6, and z = 23
1. y + 5
= 6 + 5
= 11
2. z - 2x
= 23 - 2(1.5)
= 23 - 3
= 20
3. 2z - 2y
= 2(23) - 2(6)
= 46 - 12
= 34
4. 2.6y - 2x
= 2.6(6) - 2(1.5)
= 15.6 - 3
= 12.6
5. 4(y - x)
= 4(6 - 1.5)
= 24 - 6
= 18
6. 4(2 + z) + 5
= 4(2 + 23) + 5
= 8 + 92 + 5
= 105
Answer:
im not sure
Step-by-step explanation:
Answer:
154
Step-by-step explanation:
Answer:
$1440
Step-by-step explanation:
From the above question:
We know that the rate is
1250 ft² = $600
3000 ft² = x
Cross Multiply
1250ft² × x = 3000ft² × $600
x = 3000ft² × $600/1250ft²
x = $1440
Therefore, at the same rate, the cost of an office with an area of 3000 square feet is $1440
