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Tomtit [17]
3 years ago
8

Simplify the following expression (1 + 4i) – (3 - 6i)

Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

10i - 2

Step-by-step explanation:

( 1 + 4i ) - ( 3 - 6i )

= 1 + 4i - 3 + 6i

= 1 - 3 + 4i + 6i

= - 2 + 10i

= 10i - 2

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A website sells a dress at £40 and shoes at £32. The website has an offer: Buy a dress and shoes together and get 1/2 off the pr
tekilochka [14]

Answer:

\pounds36

Step-by-step explanation:

Cost of one dress = \pounds40

Cost of one pair of shoes = \pounds32

Cost of one dress and a pair of shoes is 40+32=\pounds72

They get half off the price because they buy both

\dfrac{72}{2}=\pounds32

The shipping and handling charge is \pounds4.

So, the total amount Ruth has to pay is 32+4=\pounds36.

6 0
2 years ago
Sam's total expenses last month were $1840. What was his total variable cost for last
likoan [24]

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

\text{Total variable cost}=\$1000+\$200+\$300=\$1500

Therefore, total variable cost for last month is $1500.

5 0
3 years ago
Which expression is 8y-5x+13y equivalent to after being simplified?
Inga [223]
The answer is a because you add the same variables and 5x stays the same
3 0
3 years ago
Please help me
nevsk [136]
25.20/420= .06. 6% sales tax
4 0
3 years ago
Read 2 more answers
Which equation is satisfied by all of the plotted points?
Black_prince [1.1K]
I think the correct answer from the choices listed above is option D. The equation that would satisfy all of the points plotted above would be y=-2x. From the plot, we can see that the y-intercept is equal to zero and by using two points we can calculate the slope to be equal to -2. Giving an equation which is y=-2x. 
6 0
3 years ago
Read 2 more answers
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