Answer:
x = - 2, x = 6
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make the expression undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
Solve
- 3x² + 12x + 36 = 0 ( divide through by - 3 )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
x = - 2 and x = 6 ← are the excluded values
Answer:
0.25
Step-by-step explanation:
You can rearrange f(x) as:
f(x) = 3(x^2 + 3x) + 12 = 3(x+1.5)^2 +5.25
So you can see the vertex is at (0,5.25) when x = -1.5
The axis of symmetry then lies in x = -1.5
9. I think Austin has more rainfall.
10. Both cities have unguessable rainfalls.
11. I predict the rainfall will continue going high, then low, then high, then low.
Answer:
Step-by-step explanation:
1 tyres time to install is 56/4=14
which means it takes 14 minutes to install one tire.
so 12 tires would be 12 x 14 which is 168 minutes
A) 168 minutes
1 tire = 14 min
42 min/14 min=3
B) 3 tires