The function is decreasing from -6 to -3, that is, on the interval (-6,-3), and again on the interval (1, infinity).
The function is increasing on (-3,1).
No local or absolute minimum.
(1,4) is an absolute max.
Answer:
The fraction is = 
Step-by-step explanation:
In simplest form the fraction is represented in mixed number as 
.
The fraction form of the mixed number can be given as :
Let the fraction be = 
[As multiplying same numbers to numerator and denominator does not affect the proportion.
Sum of numerator and denominator is = 30
This, can be represented as:
Solving for 
.
Dividing both sides by 10.
So, the fraction will be = 
⇒
Answer:
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Step-by-step explanation:
Example: If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Note: the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.
Answer:
Step-by-step explanation:
1. y - 2 = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 14
2. y - 6 = -1/2(x + 5)
y - 6 = -1/2x - 5/2
y - 12/2= -1/2x - 5/2
y = -1/2x + 7/2
Answer:
The coordinates are (0,b)
Step-by-step explanation:
Here, we want to find the coordinates of the midpoint F
as we can see, F is between A and B
we proceed to use the midpoint formula
The midpoint formula is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
(x1,y1) = (-3a, b)
(x2,y2) = (3a, b)
The substitution of these values will thus yield;
(-3a + 3a)/2, (b + b)/2
= (0/2), (2b/2)
= (0, b)
