1. The coefficient of x is the constant of variation. It is 40.
2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x
Answer:
<h2>(f•g)(10) = 37</h2><h2 />
Step-by-step explanation:
(f•g)(x) = (x - 4)² + 1
then
(f•g)(10) = (10 - 4)² + 1 = 6² + 1 = 37
given that
c = 15h + 245
when h = 30.35 , cost c = (15 × 30.35) + 245
= 453.75 + 245 = 698.75
so cost if painter works = 698.75 unit of currency.
Hello,
If we want to factor the expression, we have to solve
3x² + 10x + 8 = 0
a = 3 ; b = 10 ; c = 8
∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0
x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2
x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3
Factor :
a (x - x1)(x - x2)
= 3(x + 2)(x + 4/3)
= (x + 2)(3x + 4)