Answer:
Domain: 
Range: 
Step-by-step explanation:
Given
Required
Determine the domain and the range
Solving for domain:
From the question, we understand that t represent years.
Because years can't be negative;
Then, we can conclude that the domain, t is:
Solving for Range:
We solved domain to be
This implies that the minimum value of t is 
and the maximum is infinity
Substitute 0 for t in
Hence;
The range is
Answer:
D
Step-by-step explanation:
(4x√5x^2 +2x^2√6)^2
remove the last ^2 by multiplying the parenthesis by each other:
(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)
use FOIL & distribute :
4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)
apply the distributive property once more:
4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)
remove parenthesis and combine like terms to get:
104x^4+16x^4√30
answer is D
easy 12 miles from home
Step-by-step explanation:
first add 7 +5 to get 12
Answer:
40.1%
Step-by-step explanation:
I am assuming that 192 is in 100%.
100% = 192
I then represent the value that we are looking for with 
.
x% = 77
By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).
Now, of course, we take the reciprocal, or inverse, of both sides:
x = 40.1%
Thus making the answer: 40.1% of 192 is 77.
Answer:
I= -20p^2 + 840p
Step-by-step explanation:
When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.
You can put information into these equations of:
passenger- = (800-2x)
ticket price= p = $2 + 0.1x
Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.
p= $2 +0.1x
p-$2 = 0.1x
x= 10p- $20
If p= ticket price, the function for the number of passengers it will be:
passenger = (800-2x)
passenger = 800- 2(10p- $20)
passenger =800- 20p+40
passenger =840- 20p
The function of I will be:
I= passenger x ticket price
I= 840- 20p * p
I= -20p^2 + 840p
