Answer:
see explanation
Step-by-step explanation:
To find the roots factor the left side
x³ + 7x² + 12x = 0 ← factor out x from each term
x(x² + 7x + 12) = 0
x(x + 3)(x + 4) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
Roots are x = - 4, x = - 3, x = 0
Answer:
Distance between Gas Station and House = 7.81 miles.
Step-by-step explanation:
Given: House location ( 4, 3 ) and Gas station location ( 10, 8)
On graph 1 unit = 1 mile.
To find: Distance between Gas Station and House
We use the Distance formula to find the distance between two points 

From given points and formula,

= 
= 
=
units
Since, 1 unit = 1 mile
⇒ 
Therefore, Distance between Gas Station and House = 7.81 miles.
Answer:
x = - 16
Step-by-step explanation:
The equation relating two proportional quantities is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 1, x = - 4
k =
= - 
y = -
x ← equation of proportionality
when y = 4, then
4 = -
x (multiply both sides by - 4 )
x = - 16