Answer:
36.25 and 307.18
Step-by-step explanation:
both are 100 times greater than 20.342.
If you have a function y = f(x), the transformation along the x-axis is given by:
y = f(x+a) ⇒ This is the translation to the LEFT by 'a' units
y = f(x-a) ⇒ This is the translation to the RIGHT by 'a' units
So you have, f(x) = 5ˣ, translated 4 unit right will give g(x) = 5⁽ˣ⁻⁴⁾
Answer:
(x - 3)(x - 9i)(x + 9i)
Step-by-step explanation:
note that x = 3 gives
3³ - 3(3)² + 81(3) - 243 = 27 - 27 + 243 - 243 = 0, hence
x = 3 is a root and (x - 3) is a factor
x³ - 3x² + 81x - 243 ÷ (x - 3)
= (x - 3)(x² + 81)
solve x² + 81 = 0 ⇒ x² = - 81 ⇒ x = ± 9i, thus
x³ - 3x² + 81x - 243 = (x - 3)(x - 9i)(x + 9i) ← in factored form
desole de tarrive chi fadalach riut a chraobh
Answer:
One solution
Step-by-step explanation:
3/5(x+2)=x-4
I do not like working with fractions, so I will multiply by 5 on each side to clear the fractions.
5 *3/5(x+2)=5*(x-4)
3*(x+2)= 5*(x-4)
Distribute
3x+6 = 5x-20
Subtract 3x from each side
3x+6 = 5x-20
3x-3x+6 = 5x-3x-20
6 = 2x-20
Add 20 to each side
6+20 =2x-20+20
26 =2x
Divide each side by 2
26/2 = 2x/2
13=x