Answer:
19.37.
Step-by-step explanation:
Integrating the function we get
x^4/4 - 5x^3/3 + x^2 + 8x
Area under the curve from x = -1 to x = 0
= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8
= 5.083
In a similar way we calculate area from 0 to 2
this = 10.667.
Total = 15.75.
Now we subtract 12.13 to get the area from x = 2 to x =p.
= 15.75 - 12.13 = 3.62
So total shaded area = 15.75 + 3.62
= 19.37.
Answer:
Step-by-step explanation:
Y=8(32)+12
Y=256+12
Y=268 (Sandra)
Y=8(24)+12
Y=192+12
Y=204 (Bela)
204+268=472
He earns $472/month
Answer:
109
Step-by-step explanation:
81-19 is 62. if you add 109 then you could do 109-19 is 90
Answer:
$285
Step-by-step explanation:
The mode of 44 and 51 is 47.50 and 47.50 x 6 equals 285
Answer:
The error is at step (3) .
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.