Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.
Answer:
y = -13.5
x = -10.5
Step-by-step explanation:
Hi there!
Let the two numbers be equal to <em>x</em> and <em>y</em>.
The difference of two numbers is 3 ⇒ x - y = 3
Their sum is - 24 ⇒ x + y = -24
Solve using elimination:
x - y = 3
x + y = -24
Add the two equations:
x + x - y + y = 3 - 24
2x = -21
x = -10.5
Solve for y:
-10.5 - y = 3
- y = 3 + 10.5
y = -13.5
I hope this helps!
Answer:
D.
Step-by-step explanation:
Expressing something by a unit rate means to express a value per single item. Hence, only D fits (per package, meaning per 1 package.)
Hope this helped!
Answer:
Step-by-step explanation:
You could factor the trinomial and solve it that way, but that is the long way. Just put a - 4 wherever you see an x.
x^2 + 3x + 2 =
(-4)^2 + 3(-4) + 2
16 - 12 + 2
6
The answer is 6.
3 1/3 cups are in 1 whole cup
