Answer:
Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs "undo" exponentials. Technically speaking, logs are the inverses of exponentials. On the left-hand side above is the exponential statement "y = bx
Step-by-step explanation:
Answer:
30°, 45° and 105°
Step-by-step explanation:
2 + 3 + 7 = 12 parts
180/12 = 15 degrees each part
First angle (2 parts)
2(15) = 30°
Second angle (3 parts)
3(15) = 45°
Third angle (7 parts)
7(15) = 105°
Hope this helps
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:
*assuming you know the concept of proportionality*
since L is directly proportional to T, an increase in L will result in an increase in T
so the solution of the first part is increases
in part 2, y is inversely proportional to x
which means that an increase in y will result in a decrease in x and vice-versa
So the answer of the second part is decreases
in part 3, since x is directly proportional to y, an increase in x will result in an increase in y
