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svet-max [94.6K]
3 years ago
9

Perform the operation. Give the answer in a + bi form. ( 2 − 6i )( 3 + i )

Mathematics
1 answer:
Mrac [35]3 years ago
8 0
(2-6i)(3+i)
=2(3+i)-6i(3+i)
=6+2i-18i+6
=12-16i

Note i*i=-1

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How much change will you get back if you bought three 0.78 chocolate bars and paid with a $5 bill?
Hitman42 [59]
2 dollars and 66 cents
4 0
3 years ago
Read 2 more answers
Question 6
Aleksandr-060686 [28]

Answer:

33 children

62 adults

Step-by-step explanation:

Set up 2 equations (a=adults c=children)

The first equation will be 3.25(a)+3 = 300.5

The second equation will be a + c = 95

Subtract c from both sides to get:

a = 95 - c

Replace c in the 1st equation to get:

3.25(95-c) + 3c = 300.5

Distribute 3.25 to 95 and -c:

308.75 - 3.25c + 3c = 300.5

Subtract 308.75 from both sides:

-3.25c + 3c = 300.5 - 308.75

Combine like terms:

-0.25c = -8.25

Divide by -0.25

children = 33

Subtract 33 from 95 to get

adults = 62

3 0
3 years ago
Simplify -3[5 - (-8 + 6)]<br> -21<br> -9<br> 21
Aloiza [94]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3[5-(-8+6)]  Equation/Question

Step 2

-3[5-(-8+6)]  Simplify

(-3)(7)

Step 3

(-3)(7)  Multiply

-21

Answer

-21

Hope this helps

8 0
2 years ago
A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough (open top and ends) by turnin
daser333 [38]

Answer:

4 inches should be turned up on both sides.

Step-by-step explanation:

In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.

100 * x * (16 - 2x) = MAX

100 * (16x - 2x^2) = MAX

-200x^2 + 1600x = MAX

Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).

x = -b/2a

x = -1600/2(-200)

x = -1600/-400

x = 4

8 0
3 years ago
Keeping in mind the rules for significant figures, determine how many milliliters there are in 0.073 gallons. 1 gallon = 4 quart
andreev551 [17]

we are given

there are in 0.073 gallons

we can see that there are two non-zero places after decimals

so, there are two siginificant figures

step-1: Change gallons to quarts

we know that

1 gallon = 4 quarts

so, we can write as

0.073gallons=0.073*1gallon

0.073gallons=0.073*4quarts

0.073gallons=0.292quarts

step-2: Change into liter

0.073gallons=0.292quarts

we know that

1 liter = 1.057 quarts

or

1 quart=\frac{1}{1.057} litre

0.073gallons=0.292*1quarts

0.073gallons=0.292*\frac{1}{1.057} litre

0.073gallons=0.27625 litre

step-3: Change into millilitre

we know that

1L=1000mL

0.073gallons=0.27625*1 litre

0.073gallons=0.27625*1000 mL

Since, it is asking for only two significant figures

so, we can also write as

0.073gallons=0.28*1000 mL

0.073gallons=280 mL...................Answer


3 0
3 years ago
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