X^2 + 30x + 21
= ( x + 15)^2 - 225 + 21
= (x + 15)^2 - 204
Its D minimum at -204
Answer:
The original fraction is
.
Step-by-step explanation:
Solution,
Let the fraction be'
'.
Where 'x' is the numerator and 'y' is the denominator.
Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.
So, framing the above sentence in equation form, we get;

On using cross multiplication method, we get;

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.
So, framing the above sentence in equation form, we get;

On using cross multiplication method, we get;

Now Substituting the equation 1 in equation 1 we get;

Now Substituting the value of x in equation 1 we get;

Hence The original fraction is
.
I believe the answer is B
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
I thinks it’s between A and B