Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that
Now the sum of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus
Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.
Marianne completed 2/10 and Arlene 3/10 so that’s 5/10 which means you and Tyler did 5/10 if you divide that by 2 it’s 5/20 I think but I don’t really understand as the possible answers aren’t fractions? Hopefully that’s right haha
Answer:
x + y = 170
Step-by-step explanation:
360 = 110 + x + y + 80
x + y = 360 - 110 - 80
x + y = 170
To understand this, take scissors and look at the angles how they change when you change the angle... there are always just TWO different angles and each of the angle has its exact counterpart on the opposite side. Now look again at this illustration and you will get it!
Another information, sum of all the angles inside of any rectangle is always 360 degrees!
Answer:
x = 4
x = -4
Step-by-step explanation:
bro i dont know but i hope this help a little, sorry
Answer:
y = -1x - 8
Step-by-step explanation:
y = -1x + b
-3 = -1(-5) + b
-3 = 5 + b
-8 = b