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timofeeve [1]
3 years ago
13

Write the sum or difference in the standard form a + bi.

Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

Sum = 13+ 4i            Difference = -5 - 8i

Step-by-step explanation:

Given complex number as (4 -2i)  and  (9 + 6i)

Sum of these complex number is

(4 -2i)  + (9 + 6i) = ( 4 +9) + (6i -2i)

                           = 13 +4i

Difference of these complex number is

(4 -2i)  - (9 + 6i) = (4 -9) - (2i +6i)

                        = -5 - 8i

Hence the sum and Difference of given complex numbers are

Sum = 13+ 4i            Difference = -5 - 8i              Answer

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(6t^4-t+1) - (6t^3-4t)
goldenfox [79]

Answer:

= 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

Step-by-step explanation:

6 {t}^{4}  - t + 1 - 6 {t}^{3}  + 4t \\  = 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

5 0
3 years ago
James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?
Tpy6a [65]
Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.
7 0
3 years ago
It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee. A company has less t
zavuch27 [327]
<span>Let C denote the number of candidates they interview and E the number of employees they train.
</span>
<span>If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.
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If <span>it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.
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Company has less than <span>$95000, then 400C+3600E<95000.
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Company <span>wants to spend at most 470 hours, then 20C+120E\le&#10; 470.
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<span>You obtain the system of two inequalities:
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\left \{ {{400C+3600E\ \textless \ 95000} \atop {20C+120E\le&#10; 470}} \right.  \\  \left \{ {{4C+36E\ \textless \ 950} \atop {C+6E\le &#10;23.5}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {4C+24E\le &#10;94}} \right.
Then you can solve this system according to your demands.






3 0
3 years ago
PLZ AMSWER FULLY! <br><br> ****NEED DONE ASAP****
julia-pushkina [17]

Answer:

1. Josh's father: f  Josh: f/2 - 2

2. f + (f/2 - 2) ≥ 49

3. 3/2 f - 2 ≥ 49

   3/2 f ≥ 51

   3f ≥ 102

   f ≥ 34

4. 34

6 0
3 years ago
How are the rules for multiplying and dividing integers similar and how are they different?
3241004551 [841]

Answer:

OK SO IN MULTIPLYING INTEGERS

negative into negative is positive

positive into positive is positive

positive into negative is negative

Step-by-step explanation:

5 0
4 years ago
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