Answer:

Step-by-step explanation:
The given quadratic equation is:

Comparing it with the standard form of Quadratic Equation
, we get:
a = 3, b = -9 and c = 1
Discriminant = b² - 4ac
D = (-9)²-4(3)(1)
D = 81 - 12
D = 69
In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:
f(g(x)) = 3(2x - 4) + 2
f(g(x)) = 6x - 12 + 2
f(g(x)) = 6x - 10
Option C: 90° is the value of x.
Explanation:
The given expression is
for 
We need to solve the expression.
Thus, we have,

Subtracting both sides by 4, we have,

Adding both sides by 8 sin x, we get,

Dividing both sides by 10, we have,

Taking
on both sides of the equation, we get,


Thus, the value of x is 90°
Hence, Option C is the correct answer.
Answer: 
Step-by-step explanation:
Since, the quotient of 6 and r = 
The sum of two and the quotient of 6 and r
= 
And, Five-sevenths of the sum of two and the quotient of 6 and r
= 
Thus, the required expression is, 