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Talja [164]
2 years ago
14

What is the solution to the equation 1/x = x+3/2x^2

Mathematics
2 answers:
Dimas [21]2 years ago
8 0
Hello,

As you write 1/x, x must be different of 0.
\dfrac{1}{x} = \dfrac{x+3}{2x^2} \\

==\textgreater\ 2x^2=x^2+3x \cross`\product \\

==\textgreater\ x^2-3x =0\\

==\textgreater\ x(x-3)=0 \\

==\textgreater\ x=0 (to exclude) or x=3\\

Answer\ x=3



levacccp [35]2 years ago
3 0

Answer:

D) x=3

Step-by-step explanation:

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e 400 trials in which the assistant maintained a neutral expression, the driver stopped in 229 out of the 400 trials. Find a 95%
Fittoniya [83]

Answer:

Step-by-step explanation:

n = 400

Proportion p = 229/400= 0.5725

For 95% confidence interval we use Z value as 1.96

Std error = 0.025

margin of error = 1.96*0.025

Confidence interval 95% = 0.5725±Margin of error

= (0.524, 0.621)

b) When smiled x becomes 277

p = 0.6925

Std error = 0.023

Margin of error= 1.96*0.023

Confidence interval = (0.647, 0.738)

Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.

6 0
3 years ago
Are all horizontal lines parallel
miskamm [114]
<span>By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line</span>
7 0
3 years ago
Solve for the missing length and the other two angles in the triangle below
Klio2033 [76]

Answer:

AC = 3.72 units

Angles:

A = 132.6°

C = 27.4°

Step-by-step explanation:

AC² = 5² + 8² - 2(5)(8)cos(20)

AC² = 13.82459034

AC = 3.718143399

3.718143399/sin20 = 8/sinA

sinA = 0.7358944647

A = 180 - 47.38285134

A = 132.6171487

3.718143399/sin20 = 5/sinC

sinC = 0.4599340405

C = 27.38285134

5 0
3 years ago
Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.
Alona [7]

Answer:

x=\frac{90}{13} .

Step-by-step explanation:

\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;

30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);

15x+10x=12x+90; ⇔ 13x=90;

x=\frac{90}{13}.

8 0
2 years ago
Tim has twice as many marbles as Luke together they have 39 marbles how many marbles does time have
Travka [436]
Tim has 2 times as luke
t=2l
they have 29 goether
t+l=39
subsitute
2l+l=39
3l=39
divide by 3
l=13

subsitue
t=2l
t=2(13)
t=26


tim has 26 and luke has 13
I don't know how many marble Tim has but probably all of them since alll must die and then the marbles go to Time
3 0
3 years ago
Read 2 more answers
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