When the ball will hit the ground, the height will be zero. So we need to replace

with 0 in our equation, and solve for

:


To solve this equation we are going to use the quadratic formula:

.
From our height equation, we can infer that

,

, and

. So lets replace those values in our quadratic formula to find



or


or

Since time cannot be negative,

is the solution of our equation.
We can conclude that the ball will hit the ground after
2.71 seconds.
Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.
First, we are going to solve our equation algebraically:
Step 1 simplify the equation:


Step 2 subtract 5 from both sides of the equation:


Step 3 square both sides of the equation:


Next, we are going to replace our solution in our original equation and check if it is a valid solution:




Since 9 is not equal to 1,
is not valid solution of the equation; therefor it is an extraneous solution.
We can conclude that the correct answer is: x = 16, solution is extraneous
The cost to rent the canoe for 7 hours is $ 104
<em><u>Solution:</u></em>
At eagle bay it cost $12 per hour to rent a Canoe
Nate and his friends rented a canoe for 4 hours and paid $68
Let "x" be the number of hours rented
We can solve use the point slope equation

Where, "m" is the rate of change
is the sample point
From given,
m = 12

Therefore,


Thus the linear equation is found
Here, "y" represents the amount paid for "x" hours
<em><u>Find the cost to rent the canoe for 7 hours</u></em>
Substitute x = 7 in linear equation
y = 12(7) + 20
y = 84 + 20
y = 104
Thus cost to rent the canoe for 7 hours is $ 104
Answer: 109.5 km/ hr
Step-by-step explanation:
Distance = 73 km
Time = 40 minutes = 40/60 = 2/3 hours
Speed = Distance / time
= 73 / 2/3
= 73 x 3/2 = 219 / 2 = 109.5 km/hr
So then n=number of long distance calls, then add the flat rate
long distance cost=number of calls times cost per clll or n times 0.42 or 0.42n
the flat rate is 24
so total is c so
c=24+0.42n