Answer:
Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Step-by-step explanation:
cost of gas per gallon = $2.78
it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.
Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.
Let the quantity of gas bought be x gallon.
Total cost for x gallons = cost of gas per gallon*x = 2.78x
Given that total money paid by him is $18
2.78x = 18
x = 18/2.78 = 6.47
Thus, Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Jill and Gill will have the same amount of money in week 13, they will both have $410.
Y=Acos(p)+m, A=amplitude, p=period, m=midline, in this case:
A=1/2, p=360(t/12)=30t, m=(10-9)/2+9=9.5 so
h(t)=(1/2)cos(30t)+9.5
When you calculate that all up you get 212 <span />
Answer:
![x\geq 5](https://tex.z-dn.net/?f=x%5Cgeq%205)
Step-by-step explanation:
The function that we have to study in this problem is
![y=\sqrt{x-5}-1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx-5%7D-1)
The domain of a function is defined as the set of all the possible values of x that the function can take.
For a square-root function, there are some limitations to the possible value of the argument in the root.
In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.
Therefore, in this case, we have to set the following condition for the domain:
![x-5\geq 0](https://tex.z-dn.net/?f=x-5%5Cgeq%200)
And by solving, we get
![x\geq 5](https://tex.z-dn.net/?f=x%5Cgeq%205)
which means that the domain of this function is all real numbers equal or greater than 5.