Answer:
f(g(x)) = 2x - 5
Step-by-step explanation:
If f(x) = 2x + 1 and g(x) = x - 3
Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)
f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
Answer:
3
Step-by-step explanation:
2(3x - 5) =8
6x - 10 =8
6x =8 +10
6x =18
x=18 :6
x=3
Answer:
Its times interest earned ratio is 2.5
Step-by-step explanation:
Math explanation: 250,000 divided by 100,000 is 2.5
Economic explanation: The amount of FICA tax that employers must pay is twice the amount of the FICA taxes withheld from their employees.
Answer:its still the exact same but turn it around
Step-by-step explanation:
