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Daniel [21]
3 years ago
14

What are the real and complex solutions of the polynomial equation x^4+3x^2-4

Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

Answer: (D) -1,1,-2i,2i

Explanation:

x^4+3x^2-4 = 0\\x^2 \rightarrow z\\z^2 + 3z -4 = 0 \\z_1 = -4\\z_2 = 1\\x_{1,2} = \pm\sqrt{-4}=\pm 2 i\\x_{3,4} = \pm 1

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Please help me. I really appreciate it if you answered. Thank you! <3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
3 years ago
A) What is the domain and range of the graph? (Use the equations editor or explain)
riadik2000 [5.3K]

The domain: -5 < x ≤ 1 and the range: -3 ≤ y ≤ 1 is a function. b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

<h3>What is the domain and range of the function?</h3>

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The domain of a relation is the set of values of the independent variable for a defined function.

The domain is the horizontal extent of the graph.

The range of a relation is the set of values of the dependent variable for a defined function.

The range is the vertical extent of the graph.

The vertical line can intersect the graph in at most one place.

a)

This graph extends from x > -5 to x = 1.

The domain

 -5 < x ≤ 1   ------   (-5, 1] in interval notation

This graph extends from y = -3 to y = 1.

The left side of the graph does not include the point (-5, 1), but the right side includes the point (1, 1).

y = 1 is one of the output values of the relation.

The range

 -3 ≤ y ≤ 1 . . . . . . . . [-3, 1] in interval notation

b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ1

8 0
2 years ago
BRANILIEST OFFER!!what is the median of this data set?<br> 25, 8, 10, 35,45, 5, 40, 30. 20.
ivann1987 [24]
Median is the middle of the number set so
5 8 10 20 25 30 35 40 45
its 25

4 0
3 years ago
Read 2 more answers
What is five times three hundred
spayn [35]
The answer is 1500 I hope this help!
4 0
3 years ago
The swimming pool shown below has a 6 foot wide concrete deck around it.
padilas [110]

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

7 0
2 years ago
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