(f○g)(x)=f(g(x))
(f○g)(x)=6(4x+1)
(f○g)(x)=24x+6
For this problem, we use the approach of ratio and proportion. Assuming that the given ratio of 444 days per 230 km is constant all throughout, we can determine the number of days or distance as long as one of the two is given. In this case, the solution is as follows:
444 days/230 km = 161616 days/distance
Distance = 83,720 km
Answer:
a) The discriminant of the equation = - 44
b)The nature of the roots will be imaginary.
c) 
Step-by-step explanation:
Here, the given expression is 
or, 
Now the discriminant (D) of a quadratic equation 
D = 
Hence, the discriminant of the equation = - 44
As D< 0, so the roots will be imaginary.
Now,by quadratic formula : 
So, here 
So, either 
or,
Answer: 15 hours
Step-by-step explanation:
Total cost of TV = $252, Savings= $87. So, she will require, $252-$87 = $165 to buy TV.
Also, it's given that, she gets paid $11 per hour.
Therefore, she will require 165/11 hours = 15 hours to buy new Tv at the wage rate of $11/ hour.
AB = sqrt(10^2 - 4^2) = sqrt(100 - 16) = sqrt(84) = sqrt(4 x 21) = 2sqrt(21) = 2 radical 21.
