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Stels [109]
4 years ago
15

Simplify the given expression: 2 divided by the quantity of 2 plus 5i

Mathematics
1 answer:
djyliett [7]4 years ago
5 0
The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.

2/(2+5√-1)
then multiply it by 2-5√-1 on the numerator and denominator and we have 
[2(2 - 5√-1)] / [4 - 25(1)]
(4-10√-1)/(-21)

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Two times a number x minus six times another number y is negative six.
Pie

Answer:

2x-6y=6, 2x+5y=18

Step-by-step explanation:

Translating the phrase into an equation, we get:

2x-6y=6

And:

-2x+5y=18

So the system of equations would be:

2x-6y=6, 2x+5y=18

If you want to put it into slope-intercept form, you can simplify both equations:

2x-6y=6\\6y=2x-6\\y=\frac{1}{3}x-3

2x+5y=18\\5y=-2x+18\\y=-\frac{2}{5}x+\frac{18}{5}

7 0
2 years ago
David requires at least $300 to hold his birthday party. If David can save $63 a month, how many months will he need to save to
Darya [45]

Answer:

a. 63x \geq 300

b. x \geq 4.76 or x\geq 5

c. For David to achieve three hundred dollars, he would have to save approximately 5 months

Step-by-step explanation:

A. David requires three hundred dollars, this is his goal, indicating the three hundred must be alone. For the inequality sign, the statement says that he "requires at least $300", meaning that he would have to maintain three hundred dollars or his amount could go greater than $300. Therefore, the inequality sign should be "≥" or "greater than or equal to". We also know that David can save 63 dollars per month, meaning that there should be a variable next to 63 so we could replace "x" with any number to solve our inequality. This should leave us with the following inequality :

63x ≥ 300

B. To solve the inequality, we need to get x alone, to do so, divide 63 by both sides,

\frac{63x}{63} \geq \frac{300}{63}

x \geq  4.76

To make it easier, we can round "4.76" to 5.

x \geq 5

C. Already shown in the answer spot

4 0
3 years ago
Plz <br> help for brainliest
Feliz [49]

Answer:

Function  B

Function A

Function B

Step-by-step explanation:

3 0
3 years ago
Last week, the ratio of laptops to desktops sold at a computer store was 23. Twenty-seven desktop
slega [8]

Answer:

18 Laptop models were sold.

Step-by-step explanation:

27/3=9

9*2=18

8 0
3 years ago
Find all of the zeros
noname [10]

Answer:

{-3, -1, 1}

Step-by-step explanation:

Zeros refer to x-intercepts. X-intercepts are x values when y = 0. You can tell where they are by looking at where the line passes the x-axis.

Therefore, {-3, -1, 1} are the zeros.

3 0
4 years ago
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