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d1i1m1o1n [39]
3 years ago
15

8

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))

9 - 6i -1\\8 - 6i

Thus, it is equivalent to  8 - 6i .

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Here is an inequality: -2x &gt; 10<br> List 3 values for x that would make this inequality true.
solong [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-6, -7, -8

\boxed{x

»»————- ★ ————-««  

Here’s why:  

  • We first need to solve the inequality for 'x' using inverse operations.

⸻⸻⸻⸻

\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x

⸻⸻⸻⸻

  • Any number less than the value of -5 would be a solution to the given inequality.
  • Some examples would be: -6, -7, -8, but as mentioned, <em>you can pick </em><u><em>any </em></u><em>number less than -5.</em>

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

3 0
3 years ago
What percentage of 64 is 288
timama [110]
100%=64
X%=288
100%/X%=64/288
64/288=0.2
100/0.2=x
450=x
so, 288 is 450% of 64
hope this helped!
try geteasysolution.com for more explanation
8 0
3 years ago
Find the missing values in the ratio table then write the equivalent ratios in the order they appear in the table
Pepsi [2]
Calories: 25,50,75,100

Servings: 1/3, 1/2, 1, 4/3
4 0
2 years ago
Solve and graph the inequality on a number line -19&gt;g-24
Lorico [155]
Do, 24 + -19

= 5

-19 > 5

-19 is bigger than 5

So the answer is
g = 5
7 0
2 years ago
A sports team played 100 games last season. Did this team win at least half of the games it played last season? (1) The team won
Lelechka [254]

Answer:

Insufficient data.

Step-by-step explanation:

Given,

Total number of games = 100,

(1) The team won 60% of its first 65 games last season.

So, the number of winning games in 65 games = 60% of 65

=\frac{60\times 65}{100}

=13\times 3 = 39

But we do not know about the data for last 35 games,

Thus, the data is insufficient.

(2) The team won 60% of its last 65 games last season.

So, the number of winning games in last 65 games = 60% of 65 =39,

Thus, the total winning games = 45 + 45 = 90,

But we do not know about the data for first 35 games,

Thus, the data is insufficient.

When we combined both (1) and (2) statements,

we found that the maximum number of games won by the team = 39 + 39 = 78,

But there is a overlap of 30 games,

i.e. an unknown number will be subtract from 78 to find the exact number of winning games.

Hence, even after combining statements (1) and (2),

The data is insufficient.

6 0
3 years ago
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