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Alekssandra [29.7K]
3 years ago
9

5(6-i)+(6-i)(3-i). show work.

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

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Which type of interest is earned on both the principal plus any previous interest earned?
yKpoI14uk [10]

Answer:

Compound interest

Step-by-step explanation:

Compound interest is a type of interest that is earned on both the principal plus any previous interest earned.

This ultimately implies that, the interest are compounded either on a daily, weekly, quarterly, monthly or annual basis.

Mathematically, compound interest is given by the formula;

A = P(1 + \frac{r}{n})^{nt}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

8 0
3 years ago
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest
viva [34]

Answer

-4/3

Step-by-step explanation:

5 0
3 years ago
Solve the equation for x.<br> 3X-Gr+5 = 20<br> X =
Tema [17]

Answer:

X = 5 + (Gr)/3

Step-by-step explanation:

Step 1: Write equation

3X - Gr + 5 = 20

Step 2: Subtract 5 on both sides

3X - Gr = 15

Step 3: Add Gr to both sides

3X = 15 + Gr

Step 4: Divide both sides by 3

X = 5 + (Gr)/3

7 0
3 years ago
Read 2 more answers
At a local gym, a random sample of 75 members
Juli2301 [7.4K]

Answer:

number of gym members who  prefer bicycling : 18/75*350 = 84

number of gym members who  prefer exercise classes: 22/75*350 ≈ 103

number of gym members who  prefer running on the treadmill: 15/75*350 = 70

number of gym members who  prefer weight lifting: 20/75*350 ≈ 93

Step-by-step explanation:

GYM SURVEY RESULTS

Type                                 Number of Members

Bicycling                          18  

Exercise Classes             22

Running on Treadmill     15

Weight Lifting                  20  

Total                                 75

5 0
3 years ago
Please help and explain!! I really don't get this
const2013 [10]
Average rate of change means find the slope of the secant line. So if there is a function f(x) and you want to find the average R.O.C over the interval [a,b], it would be (f(b)-f(a))/(b-a)

1. (f(3)-f(1))/(3-1)= (0-(-2))/2= 1, so D.

2. Same concept; (8-4)/(3-1)=2, so A.

3. Again, (39-(-1))/5= 8, B.
6 0
4 years ago
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