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Vanyuwa [196]
3 years ago
5

Write the conjugate of the following complex number: -6i

Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer:

6i

Step-by-step explanation:

We want to write the conjugate of the complex number:

-6i

Recall that the conjugate of a complex number in the form <em>a</em> + <em>b</em>i is <em>a</em> - <em>b</em>i, and vice versa.

We can rewrite our complex number as:

\displaystyle 0 - 6i

Hence, <em>a</em> = 0 and <em>b</em> = 6.

Then its conjugate will be:

0 + 6i = 6i

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Plese help i need the answer
Sladkaya [172]

Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

C(h) = 3h + 20

Item a:

Comparing to the standard function, we have that:

  • The initial value is of 3 and the rate of change is of 20.

Item b:

The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

You can learn more about linear function concepts at brainly.com/question/24808124

6 0
3 years ago
Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total
Aloiza [94]
Part A:

Given that <span>Starlight tree farms sells Douglas Firs and Noble First.

Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.


Part B:

</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

</span>55h+275-275=440-275 \\  \\ \Rightarrow55h=165
<span>
Dividing both sides by 55 gives:

</span>\frac{55h}{55} = \frac{165}{55}  \\  \\ \Rightarrow h=3
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>
6 0
3 years ago
I will mark brainlist to whoever answers first
Nesterboy [21]

Answer:

its D

Step-by-step explanation:

i did the math ez

6 0
2 years ago
Read 2 more answers
0.25q+0.10d=4.95<br> D=3q
lorasvet [3.4K]
0.25q + 0.1d = 4.95
d = 3q

0.25q + 0.1(3q) = 4.95
    0.25q + 0.3q = 4.95
               <u>0.55q</u> = <u>4.95</u>
                0.55     0.55
                      q = 9
0.25(9) + 0.1d = 4.95
    2.25 + 0.1d = 4.95
  <u>- 2.25             - 2.25</u>
               <u>0.1d</u> = <u>2.7</u>
                0.1     0.1
                    d = 27
5 0
4 years ago
What was done to the quadratic parent function F(x) = x2 to get the
zubka84 [21]

Answer:

Option C.

Step-by-step explanation:

If k<0, the function g(x) = f(x) + k represents the function f(x) shifted k units downwards.

In this case, given that k=-3 (k<0). The graph was shifted 3 units down. Therefore, the correct option is Option C.

5 0
3 years ago
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