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:
f(x) = 4x+5 ; 0 ≤ x ≤ 50
The range is the possible output values of f(x)
4(0) + 5 = 5 smallest output value in range
4(50) + 5 = 55 largest output value in range
The outputs are between 5 and 55 including the endpoints so
the range is [5, 55]
Y = x^2 + 8x - 3
y = x^2 + 8x + (8/2)^2 - 3 - (8/2)^2
y = x^2 + 8x + 16 - 3 - 16
^ is in the thousadths place so look for the number before it, which is 3. 3 is less than 5 so 6 stays as is so it becomes 1.736
Answer:
AS IT IS RIGHT ANGLE .
THEREFORE, 1 ANGLE =90°
A=55°,
LET LAST ANGLE BE Y.
THEREFORE, Y=90-55=35°
RATIO OF A:Y=55:35=11/7
RATIO OF ANÔTHER SIDE :X=11:7
HYPOTENOUES=8
THEREFORE8^2=11X^2+7X^2
64=121X^2+49X
