The price of gasoline could increase exponentially as modelled by the function P = Poe^rt.
<h3>What is an exponential function?</h3>
An exponential function is a function that increases or decreases in an exponential manner.
We could write the function that models the future price of gasoline as P = Poe^rt
Where;
Po = present price of gasoline
P = Price of gasoline at time t
r = rate of increase in the price of gasoline
t = time interval
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140,000 for the first house and 280,000 for the second.
Answer:
3 + 19 - 11
Step-by-step explanation:
18 - 7 = 12
3 + 19 - 11
3 + 19 = 22
22 - 11 = 11
y = f(x) + c is the graph y = f(x) shifted upward c units.
y = f(x) - c is the graph of y = f(x) shifted downward c units.
y = f(x - c) is the graph of y = f(x) shifted to the right c units.
y = f(x + c ) is the graph of y = f(x) shifted to the left c units.
So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!