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Nina [5.8K]
3 years ago
8

Write -2i + (9 - 3i) - (6 - 10i) as a complex number in standard form.

Mathematics
1 answer:
Wittaler [7]3 years ago
4 0
The answer is b for your question
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3a + 10 − 4q + 7a − 4q − 6.
soldi70 [24.7K]

Answer:

Step-by-step explanation:

3a+10-4q+7a-4q-6  combine terms

10a-8q+4

7 0
2 years ago
Read 2 more answers
A pair of Descartes jeans costs $120. If the tax is 13%, how much does the pair of jeans cost including tax?
ivanzaharov [21]

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

5 0
3 years ago
Read 2 more answers
A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa
Aleksandr [31]

Answer:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =60

\sum_{i=1}^n y_i =553

\sum_{i=1}^n x^2_i =582

\sum_{i=1}^n y^2_i =39653

\sum_{i=1}^n x_i y_i =4329

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33

And the slope would be:

m=\frac{642.33}{182}=3.529

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44

And we can find the intercept using this:

b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91

So the line would be given by:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

4 0
3 years ago
How long will it take for $6,500 to double at a simple interest rate of 7%? Round to the nearest tenth of a year.
Genrish500 [490]
<span>14.3 years 

Hope that helps! (:</span>
7 0
3 years ago
I need to factor this expression
soldier1979 [14.2K]

Answer:

( 5x + 1 ) ( x - 4 )

Step-by-step explanation:

5x² - 19x - 4

= 5x² + x - 20x - 4

= x ( 5x + 1 ) - 4 ( 5x + 1 )

= ( 5x + 1 ) ( x - 4 )

Hence, factorized.

6 0
2 years ago
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