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Ostrovityanka [42]
3 years ago
12

Simplify the given expression.

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0
(1 + 3i) + (2 - 5i) = 1 + 3i + 2 - 5i = 3 - 2i
forsale [732]3 years ago
3 0
Since you can only perform addition and subtraction on variables that have the same variable following them, the correct answer is B. 3 - 2i.
Here's why:
1 + 2 + (3i - 5i) =
3 - 2i

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Doreen has the option of borrowing $960 for 1 week at an APR of 350% or
andrew-mc [135]

Answer:borrowing the $960 for 1 week at an APR OF 350%, since doreen will owe less interest this way than with the fee of $70

Step-by-step explanation:

Well aint no explination i just guessed man

3 0
3 years ago
If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0
3 years ago
What is 36:39 in simplest form
Vanyuwa [196]
36:39 in simplest form is 12:13
3 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of the line described by (−1, −1), parallel to y = −2x − 4
LuckyWell [14K]

Answer:

y = -2x - 3

Step-by-step explanation:

Slope intercept form of line is

y = mx + c

where

m is the slope and c is the y intercept

________________________________________

Given that line

y = −2x − 4

comparing it with y = mx + c

m = -2 and c = -4

Thus, slope of this line is -2

we also know that when two lines are parallel then their slopes are same

thus, slope of required line will be m = -2

___________________________________________

now let the equation of line passing through (-1,-1) be

y = mx + c

we have found m to be -2

using this in above equation we have

y = -2x + c

since (-1,-1) passes through the above line using x = -1 and y = -1

we have

-1 = -2*-1 + c

-1 = 2 + c

c = -1 - 2 = -3

using c = -3 in y = -2x + c

we have

equation of line as

y = -2x - 3 in slope intercept form.

7 0
3 years ago
Find the variance of the given data rounded to the nearest hundredth 3,4,5,7,10,12,15
True [87]

Answer:

(3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8

(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714


4 0
3 years ago
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