Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
It is 
because you should use 
then just plug it in using
(1, 4) and (-2, -2).
That eliminates everything except the second one and the third.
So now we would find the b in the equation 
and that's all
Answer:
Step-by-step explanation:
1) Price of 8 pack of toothbrushes = $ 18.12
Price he paid after using coupon = 18.12 - 3 = $ 15.12
Unit rate = Price he paid ÷ number of toothbrushes
= 15.12 ÷ 8
= $ 1.89
2) 0.5 hours = 30 minutes
Duration of guitar class on Monday = 30 minutes
Duration of guitar class on Tuesday = 1.5 hours = 1 hr 30 min
Duration of guitar class on Thursday = 2 hrs
Total duration = 30 min + 1hr 30 min + 2 hrs
= 4 hrs
Amount paid for 4 hrs = $ 180
Rate per hour = 180 ÷ 4
= $ 45
Answer:
Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.
An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.
An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.
A quadratic function is one in the form
f(x)=ax2+bx+c
It’s rate of change (first derivative) is linear.
f′(x)=2ax+b
The rate of the rate of change (second derivative) is constant.
f′′(x)=2a
Quadratics are then the solutions to the differential equation
f′′=C
An exponential function is one in the following form.
g(x)=Aekx
It’s rate of change is another exponential function.
g′(x)=Akekx
So exponentials are the solutions to the differential equation
g′=kg
Step-by-step explanation:
Yes. : )
