Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If 
, the function f(x) is horizontally stretched by factor 
.
If 
, the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor 
.
Hence, the correct option is D.
Since there are a 100 cents in a dollar. the 100 is the denominator.
46/100, reduce; 23/50, can't be reduced any further. so 23/50 is the fraction.
Answer:
y = 3x+9
Step-by-step explanation:
We can use the slope intercept form
y = mx+b
where m is the slope and b is the y intercept
y = 3x +b
Substitute the point into the equation
6 = 3(-1) +b
6 = -3+b
Add 3 to each side
6+3 = -3+3+b
9 = b
y = 3x+9
Answer:
Venus fly trap = 12
Bonsai tree = 17
Step-by-step explanation:
Given that :
Venus fly trap = $3per plant
Bonsai tree = $5 per plant
Number of plants sold = 29
Total cost of plant sold = $121
Let venus fly trap = x ; bonsai tree =y
x + y = 29 ___ (1)
3x + 5y = 121 ____(2)
From (1) :
x = 29 - y
In (2):
3(29 - y) + 5y = 121
87 - 3y + 5y = 121
87 + 2y = 121
2y = 121 - 87
2y = 34
y = 34/2
y = 17
x = 29 - 17
x = 12
Hence,
Venus fly trap = 12
Bonsai tree = 17
I'll use 44.
This number broken down means 4 in the 10's place and 4 in the ones place
4(10)+4(1)= 40+4=44
