Answer:
x = - 3 with multiplicity 2
Step-by-step explanation:
f(x) = (x - 3)(x + 3)(x + 3) = (x - 3)(x + 3)²
Equating each factor to zero and solving for x
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x + 3 = 0 ⇒ x = - 3
x + 3 = 0 ⇒ x = -3
Thus x = - 3 has multiplicity of 2
The fact that the factor is squared gives the multiplicity
(x + 3)³ has root - 3 of multiplicity 3
alligators:
x = total number of alligators
n = number of years
x=20x1.25^n
crocodiles:
y = total number of crocodiles
n = number of years
y=25+10n
Answer:
Midpoint....; (0,-6)
Step-by-step explanation:
Midpoint of the segment
= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]
Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]
Midpoint = ( 0/2 , -12/2 )
Midpoint = (0,-6)
Get like terms together. you might have to move across the equals sign
3x-x=-6+82
2x=76
x=38
If original program is x hours long we have the equation-
x - 0.17x = 1.5
0.83x = 1.5
x = 1.5 / 0.83 = 1.81 hours long ( about 1 hour 49 minutes) Answer
