Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.
Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:
(<span>3 – 5i)(–2 + 4i) = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i
Among the choices, the correct answer is B.
Answer:
The answer is image 3.
Step-by-step explanation:
The equation for the line will be y = (-1/2)x + 3 so the gradient is negative and you will have to find the x-intercept and y-intercept.
x-intercept :





y-intercept :



Answer: 8
Step-by-step explanation:
Answer:
15 classes
Step-by-step explanation:
Let
x -----> the number of class
y ----> the total amount in charges
we know that
The total charge is equal to the number of class multiplied by the additional fee plus the membership fee (only members)
so
<em>Members</em>
-----> equation A
<em>Non Members</em>
-----> equation B
Equate equation A and equation B
Solve for x

Using the normal distribution, considering it's symmetry, it is found that the value of C is of 2.19.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The standard normal distribution has mean and standard deviation given, respectively, by:
.
Hence, considering the symmetry of the normal distribution, the value of c is <u>Z with a p-value of (1 + 0.9715)/2 = 0.98575</u>, hence c = Z = 2.19.
More can be learned about the normal distribution at brainly.com/question/24663213
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