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Liula [17]
3 years ago
10

Find all complex solutions of 2x^2+x+6=0. (If there is more than one solution, separate them with commas.)

Mathematics
2 answers:
blondinia [14]3 years ago
6 0

Answer:

If you do not understand any steps, please feel free to comment down below.

ankoles [38]3 years ago
4 0

Answer:

x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4

Step-by-step explanation:

Using quadratic formula, x=(-1±sqrt(1-48))/4.

x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4

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Can someone smart please help me?
ollegr [7]
Hello! 

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs. 

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.

So there are 44 chickens and 2 rabbits.

b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

5.25 - 3.05 = 2.20

And you divide to find the number of adult tickets.

193.6 / 2.2 = 88

Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
7 0
3 years ago
-3(7w-3)+8w=-5(w+1) what is the value of w
bogdanovich [222]

Answer:

2

Step-by-step explanation:

Step 1:

- 21w + 9 + 8w = - 5w - 5

Step 2:

- 13w + 9 = - 5w - 5

Step 3:

- 7w + 9 = - 5

Step 4:

- 7w = - 14

Step 5:

14 = 7w

Answer:

w = 2

Hope This Helps :)

6 0
2 years ago
Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

Side\ 1 = 10

Side\ 2 = 14

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

x^2 = Side\ 1^2 + Side\ 2^2

This gives

x^2 = 10^2 + 14^2

x^2 = 100 + 196

x^2 = 296

Take square root

x = \sqrt{296

x = 17.2in

3 0
3 years ago
Round 13 to the nearest 10.
mr Goodwill [35]

Round down to 10. 13 goes to 10.

3 0
3 years ago
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In one revolution a circle covers a distance equal to its
DIA [1.3K]

Answer:

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6 0
2 years ago
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