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SOVA2 [1]
2 years ago
6

X^6+3x^3-5 write the expression in quadratic form

Mathematics
1 answer:
Art [367]2 years ago
3 0

Step-by-step explanation:

v =  {x}^{3}  \\  {v}^{2}  + 3v - 5 = 0 \\

Solving this equation using the quadratic formula, we get two real solutions :

1.1926 or -4.1926

Now we know the values of v , we can calculate x since x is ∛ v

{x}^{6}  + 3 {x}^{3}  - 5 = 0

x =  \sqrt[3]{1.1926}  = 1.0605 \\ x =  \sqrt[3]{ - 4.1926}  =  - 1.6125

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The answers you should drag are 3 and 4
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2 years ago
What’s the answer for y= (x-2)^2 +2 {x<4.5}
stealth61 [152]

Answer:

x<4.5

Step-by-step explanation:

y =(x-2)^2 +2 {x<4.5}

add the power and then divide by 2 you get 4.5

8 0
3 years ago
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

where n is the sample size.

Here, n = 1 minute = 60 seconds

P(x > 950)

P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)

= 1 - P(z \leq 1.667)

Calculation the value from standard normal z table, we have,  

P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

3 0
3 years ago
What is the slope of a line that is perpendicular to the line y=-1/3x-6?
max2010maxim [7]
Y=-1/3x-6, for this line, the slope (m) is -1/3.
This is because the equation is in the slope intercept form: y = mx + b.
The perpendicular line to one with m = -1/3, is the negative reciprocal of m, we'll call it m2.
m2 = --3/1 = +3/1 = 3
4 0
3 years ago
What is the range of the function y=3^x<br><br> x&gt;0<br><br> R<br> y&lt;0<br> y&gt;0
Dima020 [189]

Answer:

The range is  y > 0

Step-by-step explanation:

3^x is always greater than 0 and cannot be negative   unless x is not real

5 0
3 years ago
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