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natali 33 [55]
3 years ago
14

Simplify and show your work -8 + 4i / 4 - 4i

Mathematics
1 answer:
zhenek [66]3 years ago
7 0
=  ( -8 + 4i ) / (4 - 4i ) = 4(-2 + i )  /  4( 1- i ) = ( -2 + i )  /  ( 1 - i )
=  (i  - 2  )(-i +1)^-1
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A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
3 years ago
Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Alik [6]

Answer: $2.08

Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)

=2.08

8 0
1 year ago
Judy is making scarves to give to her family as gifts. She needs to make 5 scarves and each scarf is 3.75 feet long. How many ya
Trava [24]
You multiply five by 3.75 and you get 18.75 ft. to get yards you divide by three and you get 6.25 yards

6 0
3 years ago
Someone please help for brainiest and thanks.. No fake answers or you get reported
bagirrra123 [75]

Hello from MrBillDoesMath!

Answer:

12/5


Discussion:

Note that 10 is a common denominator of both denominators:

9/5 = (9*2)/(5*2) = 18/10

- ( -6/10) = + (6/10)

So the original problem is equivalent to

18/10 + 6/10 =

(18 +6)/10 =

24/10 =

(2*12)/ (2*5)   =>       cancelling the common factor "2"

12/5 =

2 and 2 fifths =

22/5            (though this looks like (22)/5!)


Thank you,

MrB

6 0
3 years ago
Using the graphing tool, determine the function for the graph that passes through the points (2.1,2.4), (4.3,6.8), and (6.1,1.9)
Paha777 [63]

Answer:

  f(x) = -1.18056x² +9.55556x -12.4604

Step-by-step explanation:

As required by the problem statement, technology was used to find the polynomial function that passes through the given points. The coefficients shown above are rounded to 6 significant figures. The exact coefficients appear to be ...

  f(x) = (-1 13/72)x² +(9 5/9)x -(12 221/480)

8 0
4 years ago
Read 2 more answers
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