Answer:
-50x
Step-by-step explanation:
The rate of change is the dependent variable, which means that is the number that can change due to another number or variable. The only dependent variable is -50x, Which means this is the rate of change.
You have to multiply the two complex numbers, and simplify the result as one single complex number.
A complex number is composed by two terms: the real part, which is a real number, and an imaginary part, which is a multiple of i, the imaginary unit.
So, for example, the first factor is , which means that the real part is 15, and the imaginary part is -4i.
To multiply two complex numbers, you multiply each terms of the first number with each terms of the second number, just like you would multiply two polynomials like . The only exception is that you have to keep in mind that .
So, if we multiply these two numbers term by term we have
This can be simplified to
Summing like terms and recalling that we have
So, the multiplication of the two factor gives as result the complex number . This means that the real part is 78, and the imaginary part is 69i. If you compare the two forms, you have
Answer:
- possible: ±{1/3, 1, 5/3, 5, 25/3, 25}
- actual: 5/3
Step-by-step explanation:
The rational root theorem tells you any rational roots of the expression will be found from the constant and the leading coefficient:
rational roots = ±{divisor of 25} / {divisor of 3}
<h3>Possible roots</h3>
The list of divisors in each case is pretty short, so this is ...
rational roots = ±{1, 5, 25) / {1, 3} = ±{1/3, 1, 5/3, 5, 25/3, 25}
<h3>
Actual roots</h3>
We find the only actual rational root is x = 5/3 when we graph the function.
(Factoring out that root, we find the remaining roots are ±i√5, irrational imaginary values.)
Answer:
$135.60
Step-by-step explanation:
120*13%=15.6
15.60+120.00=$135.60