In this question, all you have to do is substitute 12 into all the places where it says x in the question.
Therefore:
g(12) = 3(12 + 8) = 3(20) = 60
So, g(12) = 60
Answer:
{x | x<3 or x>1}
Step-by-step explanation:
x+2<5
x<5-2
x< 3
x-7> -6
x> -6+7
x>1
symbol U means union
The given trinomial can be factored using factorization as
x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)
Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A
So the answer to this question is Option A
Answer:
15 units per unit
Step-by-step explanation:
From the graph we can easily tell that y increases from 0 to 15 as x increases from 2 to 3.
Thus, the average rate of change of f(x) on the interval [2, 3] is:
1 15 - 0 15 units
--------- * ----------- = -------------- = 15 units (rise) per unit (run).
3 - 2 1 1
Complete the square:
<span>y = 3x^2 - 12x + 4 </span>
<span>y = 3(x^2 - 4x) + 4 </span>
<span>y = 3(x^2 - 4x + 4 - 4) + 4 </span>
<span>y = 3(x^2 - 4x + 4) - 12 + 4 </span>
<span>y = 3(x - 2)^2 - 8</span>
