The equation that models the scenario is y = 12.95 + 14.95x
<h3>How to determine the linear equation?</h3>
The given parameters are:
Ranch charge = $12.95
Entrance fee = $14.95 per house
Represent the number of houses with x, and the total charge with y
So, we have:
y = Ranch charge + Entrance fee * x
This gives
y = 12.95 + 14.95x
Hence, the equation that models the scenario is y = 12.95 + 14.95x
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To show: (x+y)² − (x −y)² = 4xy
Using difference of square identity:
Taking left side






hence proved

Answer:
A. The football does not reach a height of 15ft
Step-by-step explanation:
Given

Required
Determine which of the options is true
The option illustrates the height reached by the ball.
To solve this, we make use of maximum of a function
For a function f(x)
Such that:
:

i.e we first solve for 
Then substitute
for x in 
In our case:
First we need to solve
Then substitute
for t in 
By comparison:






Substitute
for t in 






This implies that the maximum height reached is 14.0625ft.
So, the option that answers the question is A because 
Answer:
The method is to multiply the numbers by there varible
Step-by-step explanation: