Answer:
A
Step-by-step explanation:
Given
x - 8 = - 12 ( multiply through by 3 to clear the fraction )
x - 24 = - 36 ( add 24 to both sides )
x = - 12 → A
Given parameters:
Fraction given to charity = 
Fraction given to wife = 
Unknown:
Fraction given to son and daughter =?
Solution:
Let the total property = x
Fraction given to charity = 
Fraction given to wife =
The remaining was given to son and daughter = F
So;
Total property = fraction given to charity + fraction given to wife + fraction given to son and daughter
x = 
F = x - (
)
F = 0
The son and daughter will not inherit anything
Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23
280 divided by 7 = 40 pages every night
(28/7=4, add a zero)
Answer:
dy/dx = d/dx (sin3x.cos2x)
dy/dx = cos3x . 3 . -sin2x . 2 (Using chain rule)
dy/dx = -6cos3xsin2x