Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)
Answer:
The last graph
Step-by-step explanation:
The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.
We can consider the number of television sets currently produced by the company to be our Principal amount;
P = 2000
The rate of increase in production per month can be considered as our interest rate earned;
r = 25% = 0.25
The total number of television sets y will be our Accumulated amount;
A = y
The duration x becomes our time n.
The compound interest formula is given as;

We simply substitute the given information into the formula;

This is an exponential growth function since the base of the exponent x is greater than 1.
A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value
Answer:
It is given that , Parallelogram ABCD is dilated to form parallelogram EFGH.
When Dilation of a geometrical shape takes place, the two→→image and Pre image will be Similar.
Parallelogram ABCD ~ Parallelogram EFGH
Since Similar shapes have , Proportional side Lengths as well as length of their Diagonal will be proportional.

So, Segment FG will be proportional to Segment BC.
Answer:
6:2:1
Step-by-step explanation:
360÷60=6
120÷60=2
60÷60=1
Answer:
6 ≤ x < ∞
Step-by-step explanation:
The value of x cannot be less than 6 because that would make the term in the square root part negative. There is no real square root of a negative vale.