Answer:
f(x) has a minimum value of -10.
Step-by-step explanation:
It will have a minimum value because the coefficient of x^2 is positive.
To find its value we convert to vertex form:
f(x) = 4x^2 - 16x + 6
= 4(x^2 - 4x) + 6
= 4[(x - 2)^2 - 4] + 6
= 4(x - 2)^2 - 16 + 6
= 4(x - 2)^2 - 10.
So the minimum value is -10.
You're looking for the extreme values of
subject to
. The Lagrangian is

with critical wherever the partial derivatives vanish:




Substituting the first three solutions into the last equation gives



At these points, we have


so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).
Directly proportional: as one amount increases,
<span>another amount increases at the same rate.
</span><span><span>Inversely Proportional</span>: when one value decreases at the same rate that the other increases. </span>
Answer:
Step-by-step explanation:
Just truely be open about your feelings, don't try and sugarcoat it, or leave things out, just be honest with her and tell her straight up, politely of course.
Hi there!
Here is what the rules says
+ * + = + (Plus times plus = plus)
+*- = - (Plus times minus = minus)
- * - = + (Minus times minus = Plus
- * + = - (minus times plus = minus)
You need to know the rules by heart because you will use it a lot.
So let see how it works with the problem
6 -(-7)
What does the rules say? It says
- * - = plus
So, we gonna use PLUS for the sign
6-(-7) = 6 + 7 = 13
13 is the correct answer.
I hope I helped. Please let me know if you have more questions.