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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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Find the percent of the area under the density curve where x is more than 3. <br>​
Gekata [30.6K]

Answer:

The percent of the area under the density curve where x is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot  (y_{f}-y_{o}) (1)

Where:

A - Area, in square units.

x_{f} - x_{o} - Base of the triangle, in units.

y_{f} - y_{o} - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%

x = 25\,\%

The percent of the area under the density curve where x is more that 3 is 25 %.

7 0
3 years ago
I dont know this one too??
Maslowich

Answer:

bottom left

Step-by-step explanation:

line of symmetry means that both sides will look the same if a line is drawn thru

4 0
2 years ago
What substitution should be used to rewrite 4x^4-21x^2+20 =0 as a quadratic equation
marysya [2.9K]

I would substitute y = x^2

4y^2 -21y+20=0

7 0
3 years ago
First answer gets Brainlyist
Naddik [55]
Answer: 4th graph

Explanation:

3x _> 3
x _> 3/3
x _> 1

9x > 54
x > 6

We can write x like this:

1 <_ x < 6

Meaning that x is bigger or equal to 1 but less than 6
6 0
3 years ago
In a survey of students about favorite sports the results include 33 who like football, 13 who like tennis and football, 24 who
goblinko [34]

Answer:

How many students like only tennis and football?

13 who like tennis and football

How many students like only baseball and football?

26 who like baseball and football

7 0
3 years ago
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