#7 is the easiest one.
a + bi = -9 + 4i
see the expression on either side matches up so..
a = -9 and b = 4
Answer:
The common denominator is 100 because they dont have a number lower so 20*5 is 100 and 25*4 gives you 100
Step-by-step explanation:
Answer:
The exponential model for the population is 
Step-by-step explanation:
The exponential model for the population has the following format:
In which P(0) is the initial population and r is the growth rate, as a decimal.
A population numbers 19,000 organisms initially and grows by 4.8% each year.
This means that 
So
The exponential model for the population is
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
Answer:2x^2-√(3)
Step-by-step explanation:
Sign change in the conjugate
Therefore we have 2x^2-√(3)
