Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer: Approximately 6573481.358 Hispanic businesses
Step-by-step explanation:
In 2009, the number of Hispanic owned businesses was 1.15 million
In 2013, the number of Hispanic owned businesses was 1.52 million
Since the growth is exponential, we would apply
Tt = ar^t-1
Where Tt is the number of Hispanic owned businesses after t years
a is the number of Hispanic owned businesses in 2009
r is the common ratio or exponential growth rate of the number of Hispanic owned business
at 2013 , t = 5(t= 0 in 2009 to t= 5 in 2013)
1520000 = 1150000 × r^5-1
1520000 / 1150000 = r^4
152/115 = r^4
1.32174 = r^4
Taking 4th root of both sides,
r = 1.07222
We want to determine the number of Hispanic owned business that would be there in 2034. It becomes
T2034 = 1150000 × 1.07222^25
T2034 = 1150000 × 5.7160
T2034 = 6573481.3579901
Approximately 6573481.358 Hispanic businesses
Answer:
X=8
Step-by-step explanation:
AB and AC are the same length so angles a and c are the same
180=a+b+c
180=69+b+69
b=42
42=5x+2
40=5x
8=x
Simplifying the expression you end up with 4y^2 + 4y - 15 which is 3 terms.
The answer would be True.
To simplify (7)(-6)
You have to remember the rules to multiplying with negative and positive fractions.
Some rules are.
- = negative
+ = positive
- x - = +
+ x + = +
- x + = -
So we know that 7 x 6 = 42
But our -6 makes it -42
7 x -6 = -42
So your answer is -42
Good Luck! :)
