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Serhud [2]
3 years ago
9

How do you simplify (3+2i)+(4-5i)

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
7+-3i is the correct answer because you add 4+3 because they are like terms then you add 2i+-5i because they are like terms
You might be interested in
If a publisher charges $15 for the first copy of a book that is ordered and $12 for each additional copy, which of the following
tekilochka [14]

The expression that represents the cost of y books is 12y + 3.

Given that,

  • The charge for the first copy of the book is $15.
  • For each extra copy, the charge is $12.
  • Here we assume the number of books be y.

Now based on the above information, the expression should be

= 12y  + (15 - 12)

= 12y + 3

Therefore we can conclude that option F is correct.

Learn more: brainly.com/question/13910351

5 0
3 years ago
Solve for x.<br><br> x/7 = -3
PtichkaEL [24]

x = -21

explanation: a trick i used was just do -3 times 7 and get my answer -21. if you are unsure if the answer is right just check your work with a calculator. -21 divided by 7 is -3 so -21 is the value of x. please mark brainliest !!

5 0
3 years ago
What are all of the factors of 24 and 27
klasskru [66]

The factors of a number are <em>all of the positive whole numbers that go into it evenly</em>. For example, 2 is a factor of 6 because 6 ÷ 2 = 3, or equivalently, 6 = 2 x 3. Note that this naturally implies that every whole number has 1 and itself as a factor.

The numbers that go evenly into 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 27, those numbers are 1, 3, 9, and 27.

The <em>common factors </em>between two numbers are numbers that go into <em>both </em>numbers evenly. Looking through the lists for 24 and 27, we see that 1 and 3 are their common factors. The <em>greatest</em> common factor is, of course, the largest of these, so the greatest common factor of 24 and 27 is 3.

7 0
3 years ago
13
zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

6 0
3 years ago
How many natural numbers are between 45 and 58?
Eddi Din [679]

Answer:

12

Step-by-step explanation:

You could actually list the numbers between (but not including) 45 and 58:

{46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57}.  I count 12 numbers here.

5 0
4 years ago
Read 2 more answers
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