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Inga [223]
3 years ago
13

Find the difference of the complex numbers.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

  D.  7 +11i

Step-by-step explanation:

In many situations, you can treat "i" as though it were a variable. Collect terms in the usual way.

  (2 +8i) -(-5-3i) = 2 +8i +5 +3i = (2+5) +(8+3)i

  = 7 +11i

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How to find the maximum or minimum value of a quadratic function?
kipiarov [429]

Answer:

Vertex form

Step-by-step explanation:

You convert to  vertex form  a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).

For example find minimum value of  x^2 + 5x - 6:-

x^2 + 5x - 6

=  (x + 2.5)^2 - 6.25 - 6

= (x + 2.5)^2 - 12.25

The coordinates of minimumm will be (-2.5, -12.25)  The values of the minimum of the function is -12.25

6 0
3 years ago
A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is
Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ 3x+2y=11  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ 5x+6y=23 →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒3(3x+2y)-5x-6y=3(11)-23

⇒9x+6y-5x-6y=10

hence,

⇒4x=10

⇒x=2.5

Putting x=2.5 in  3x+2y=11  we get ;

⇒  3x+2y=11

⇒  3(2.5)+2y=11

⇒  2y=11-7.5=3.5

⇒  y=1.75

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0
4 years ago
A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After ye
uysha [10]

Answer:

a. (b) 2.5

b. (b) 1.89

Step-by-step explanation:

E(X) =0(0.05)+1(0.25)+2(0.35)+3(0.15)+4(0.15)+5(0.15)= 2.5

7 0
3 years ago
I’m timed plsss answer correctly I’ll mark u brainliest
Artemon [7]

Answer:

\sqrt{125}

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle 15^{2} = 10^{2} + x^{2}

225 = 100 + x^{2} so x = \sqrt{125}

7 0
3 years ago
Read 2 more answers
PLS HELP BRAINLIEST WILL BE GIVEN :D
disa [49]

Answer:

56

Step-by-step explanation:

By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.

The probability of both being blue is 0.5 × 0.4 = 0.2.

So we would expect to get both blue 2/3 of the times we get both red.

X = 2/3 (84)

X = 56

6 0
3 years ago
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