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
proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.
Answer:
33feet
Step-by-step explanation:
If the base of the doghouse is 6 feet and the height is 5 feet, we can write;
6 feet base = 5 feet height
To get the length of the base if the height is 27.5feet
x feet base = 27.5 feet high
Divide both expressions
6/x = 5/27.5
5x = 6 * 27.5
5x = 165
x = 165/5
x = 33ft
Hence the length of its base will be 33feet
Because α varies directley to β

(k = constant)
α=7 when β=2
7= 2k
k=
so when α=21
21=

b
b= 6
Answer:
Integers
Rational Numbers
Whole Numbers
In their respectful orders.