Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
Answer:
the common difference of the sequence is 
Step-by-step explanation:
A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.
Now, here first term a1 = 1/4
Second term a2 = 5/16
Third term a3 = 3/8
Now, Common difference (d) = a2 - a1 = a3 - a2
Now, a2 - a1 = 
Now, a3 - a2 = 
Hence, the common difference of the sequence is
Answer: x= -6 x=6
Step-by-step explanation:
expand the equation so you get (x-6)(x+6) and then set the equal to zero and solve
Do Pythagorean theorem. If you don't know what that is...
Do A squared plus B squared Equals C squared and you will get your answer for the shape. Then calculate the area
