Answer:
Consider the parent logarithm function f(x) = log(x)
Now,
Let us make transformations in the function f(x) to get the function g(x)
•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.
•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)
Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is
g(x) = 3 log(x/2) (Option-B).
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19
Answer:
Great question
Step-by-step explanation:
Complete question :
Answer:
Width = 14 yards ; length = 25 yards
Step-by-step explanation:
Given that :
The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width and length of the garden?
Width of garden (W) = w
Lenght of garden (L) = 2w - 3
Perimeter of a rectangle : 2 (L + W)
2(2w - 3 + w) = 78
2(3w - 3) = 78
6w - 6 = 78
6w = 78 + 6
6w = 84
w = 14 yards
Length = 2(14) - 3
Length = 28 - 3 = 25 yards
