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.
Distance = Average speed * Time = 48*10 = 480 miles
So, they drove for 480 miles
Answer:
130
Step-by-step explanation:
Percentage of 77% of what = 100.1?
77% × ? = 100.1
? =
100.1 ÷ 77% =
100.1 ÷ (77 ÷ 100) =
(100 × 100.1) ÷ 77 =
10,010 ÷ 77 =
130
The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.
Answer is:<span>
= <span><span>48<span>y7 -</span></span> <span>5<span>y.</span></span></span></span>
