<span>(13 + 5) + 5 = 23
</span>
associative property of addition
<span>13 + (5 + 5) = 23</span>
Only the third one makes x=-1 true
Its a monomial and it has 4 terms
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer:
<h2><em><u>62</u></em><em><u>.</u></em><em><u>2</u></em></h2>
Step-by-step explanation:
4n × 2 + 43
<em>[</em><em>By</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em>.</em><em>4</em><em>]</em>
= (4 ×2.4) × 2 + 43
= 9.6 × 2 + 43
= 19.2 + 43
= <em><u>62.2 (Ans)</u></em>