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:
20 : 9
Step-by-step explanation:
Given the ratio
2 : 
Multiply both parts of the ratio by 10 to clear the fraction
= 20 : 9
<span>f(x)=3x+8 and g(x)=6x+6
(f + g)(x) = f(x) + g(x)
= </span>3x+8 + (6x + 6) = 3x + 6x + 8 + 6 = 9x + 14<span>
</span>(f + g)(x) = <span> 9x + 14
</span>
(f + g)(-1) = <span> 9*-1 + 14 = -9 + 14 = 5
</span>
<span>(f + g)(-1) = 5</span>
Answer:
a = - 1.1
Step-by-step explanation:
Condition for a single variable function f(x) to be decreasing is f'(x) < 0.
So, in our case,
.
Then, differentiating with respect to x on both sides we get,

⇒ 
⇒
{Dividing both sides with - 1 and hence the inequality sign changes}
⇒ 
⇒ 8 > - 6x³ {Multiplying both sides with x³}
⇒ 6x³ > - 8 {Interchanging the sides}
⇒ 
⇒ x > - 1.1
Therefore, a = - 1.1. (Answer)