Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
54 square inches
Basically you just multiply
M’ (-4, 7)
N’ (0, 5)
P’ (2, 0)
Q’ (-2, 1)
you basically change the x and y values by the value it says so you'd subtract 4 from x (the first number) and add 1 to y (the second number)
Answer:
y=4x-9
Step-by-step explanation:
Answer:
<em>Ct = 4075 + 368d</em>
Step-by-step explanation:
<u>Function Models</u>
A company rents out food booths and game booths at the county fair.
For a food booth, the company charges a fixed fee of $175 and a variable fee of $10 per day. If d is the number of days, then the charges for a food booth are:
Cf = 175 + 10d
Similarly, the company charges $50 plus $9 per day for a game booth, thus the total charges are:
Cg = 50 + 9d
If all the booths are rented for the entire time, the total amount the company is paid for 17 food booths and 22 game booths is:
Ct = 17Cf + 22Cg
Substituting:
Ct = 17(175 + 10d) + 22(50 + 9d)
Operating:
Ct = 2975 + 170d + 1100 + 198d
Simplifying:
Ct = 4075 + 368d