2x^5-x^2+1=0
can you help me ?
slove it in details
thanks
Answers
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x = 7}[/tex]
Move 1 to the left side of the equation by subtracting it from both sides.
[tex]\sqrt{2x -5 - 2 - 1 = 0 }[/tex]
Subtract 1 from -2.
[tex]\sqrt{2x -5 - 3 = 0 }[/tex]
Add 3 to both sides of the equation.
[tex]\sqrt{2x - 5 = 3}[/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex]\sqrt{2x - 5^3 = 3^2}[/tex]
Simplify each side of the equation.
Multiply the exponents in [tex](( 2x - 5) ^\frac{1}{2})^2[/tex] .
Apply the power rule and multiply exponents, [tex](a^m)^n = a^mn[/tex]
[tex](2x -5)^\frac{1}{2}.2 = 3^2[/tex]
Cancel the common factor of 2.
[tex](2x - 5)^1 = 3^2[/tex]
Simplify.
[tex]2x - 5 = 3^2[/tex]
Raise 3 to the power of 2.
[tex]2x - 5 = 9[/tex]
Solve for x
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
[tex]2x = 9 + 5[/tex]
Add 9 and 5.
[tex]2x = 14[/tex]
Divide each term by 2 and simplify.
Divide each term in 2x = 14 by 2.
[tex]\frac{2x}{2} = \frac{14}{2}[/tex]
Cancel the common factor of 2.
[tex]x = \frac{14}{2}[/tex]
Divide 14 by 2.
[tex]x = 7[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Answer:
root of f(x) = -0.7419124700395855 to about 16 figures
Step-by-step explanation:
given
f(x) = 2x^5-x^2+1 = 0
The polynomial is prime, so cannot solve by factoring.
Since it is a 5th degree polynomial, it has at least one real root.
Graphing helps locate where roots are, if more than one.
(refer to first graph)
So there is a real root between -1 and 0.
We will use numerical methods to find the root to a good degree of accuracy. The technique applies to any univariable function which is differentiable and continuous near the roots. This requirement is true for all polynomials.
However, we must know approximately where the root is, usually found by graphing.
The formula used is a recursive one, which gives a better approximation (x1) from the initial (x0) one , and can be repeated until the required accuracy is reached.
Here, we see that the slope of the function at the root is quite steep, so convergence will be rapid.
The formula is
x1 = x0 - f(x0) / f'(x0), where
x1 = new approximation
x0 = initial (or previous) approximation
f(x0) = value of function when x=x0
f'(x0) = value of derivative of function when x=x0
For the given function
f(x) = 2x^5-x^2+1 = 0
f'(x) = 10x^4-2x = 2x(5x^3-1)
From the graph of f(x), we can take an initial approximation as
x0 = -1
x1 = -1 - (-2)/12 = -5/6
Repeat using x0=-5/6
x1 = -5/6 - ( 2(-5/6)^5 - (-5/6)^2 + 1 ) / (2(-5/6(5(-5/6)^3-1))
= 0.7565596512088784
Repeat again, multiple times
x1 = -0.7423377914518363
x1 = -0.7419128371988212
x1 = -0.7419124700398593
x1 = -0.7419124700395855
x1 = -0.7419124700395855
So we see that the root of f(x) = x1 = -0.7419124700395855 to about 16 figures
Note that the accuracy of the iterations approximately doubles every time.
Related Questions
20 POINTS!!!
The functions f(x) and g(x) are shown on the graph.
f(x)=|x|
What is g(x)
Answers
Answer:
Option B
Step-by-step explanation:
As shown in the picture, g(x) is the red one which can be obtained by translating f(x) - the blue one toward +x-axis direction 4 units.
=> g(x) = f(x) + 4 = |x| + 4
Answer: Choice D
g(x) = |x-4|
=================================================
Explanation:
Replacing x with x-4 shifts the xy axis four units to the left. If we fix the blue V shape to not move while the xy axis does move, then it gives the illusion of the V shape moving 4 units to the right to end up producing the red curve.
You can use a table of values to compare the two functions or you could use a graphing tool to confirm the answer.
--------
Extra info:
Choice A will move the blue graph 4 units down
Choice B will move the blue graph 4 units up
Choice C will move the blue graph 4 units to the left
Find f'(x) for f(x) = 5x2 − 3x + 12. 10x + 12(this answer is incorrect) −10x − 3 10x − 3 None of these
Answers
What are ya sayin
Step-by-step explanation:
Answer:
10x-3
Step-by-step explanation:
f'(x) means just find the derivative, which can be done via calculator (the more advanced ones, anyway)
Also, I am super late to the question, but...hope it still helps?
If x = -4 ,what is the value of 5-3x
Answers
Answer:
17.
Step-by-step explanation:
5 - 3x, with x = -4.
5 - 3x
= -3x + 5
= -3(-4) + 5
= 12 + 5
= 17.
Hope this helps!
Hope this helps
A tree planter is paid $0.11 for every tree he plants. If a particular person plants 1,356 trees in an 8 hour day, how much money per hour is he earning over minimum wage this day, if minimum wage is $11.20 per hour?
Answers
Answer:
$7.45/hour
Step-by-step explanation:
$0.11/tree
1,356 trees/day
1,356 trees/day * $0.11/tree = $149.16/day
1 day of work = 8 hours
$149.16/day * (1 day of work)/(8 hours) =
= 149.16/8 $/hour
= $18.645 $/hour
Rounded to the nearest cent, he is earning $18.65 $/hour
18.65 - 11.20 = 7.45
Answer: $7.45/hour
Please answer it now in two minutes
Answers
Answer: √3
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)
Replacing with the values given:
Sin 30 = x /2
Sin 30 (2) = x
x=1
Applying the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (2) and a and b are the other sides.
2^2 = t^2 + 1^2
4= t^2 +1
4-1 = t^2
3 = t^2
√3 = t
Feel free to ask for more if needed or if you did not understand something.
Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
Answers
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
If x and y are positive integers and x+y+xy=54, then x+y equals what
Answers
Answer:
x+y = 14
Step-by-step explanation:
x+y+xy = 54
1+x+y+xy = 55
(1+x)(1+y) = 55
(1+x)(1+y) = 5*11
If x and y are integers,
1+x = 5 => x = 4
1+y = 11 => y = 10
or
1+x = 11 => x = 10
1+y = 5 => y = 4
In either case, x+y = 14
The solution to this system is [tex]x = 4[/tex] and [tex]y = 10[/tex]. Then, [tex]x+y = 14[/tex].
Let be [tex]x + y + x\cdot y = 54[/tex], then we proceed to modify the expression by algebraic means:
[tex]x + y + x\cdot y = 54[/tex] Given[tex]x+y+x\cdot y + 1 = 55[/tex] Compatibility with addition/Definition of addition[tex](x+1)+(y+x\cdot y) = 55[/tex] Commutative property/Associative property [tex](x+1) + y\cdot (x + 1) = 55[/tex] Distributive property/Commutative property[tex](x+1)\cdot (y +1) = 55[/tex] Distributive propertyThe only divisors of 55 is 5 and 11, respectively. Hence, we have the following system of linear equations:
[tex]x + 1 = 5[/tex] (1)
[tex]y + 1 = 11[/tex] (2)
The solution to this system is [tex]x = 4[/tex] and [tex]y = 10[/tex]. Then, [tex]x+y = 14[/tex].
To learn more on integers, we kindly invite to check this verified question: https://brainly.com/question/1768254
While watching a circus show, I counted out the number of acrobats and elephants. I counted 40 legs and 15 heads. How many acrobats did I see in the show?
Answers
Answer:
y=10 ( number of acrobat)
Step-by-step explanation:
let x be the elephant and y the acrobat
elephant has 4 legs and acrobat 2
4x+2y=40
x+y=15 ⇒x=15-y
substitute for x in the equation:
4(15-y)+2y=40
60-4y+2y=40
-2y=40-60
y=-20/-2
y=10 ( number of acrobat)
number of elephant=15-10=5 elephants
What is the value of x? Enter your answer, as an exact value, in the box.
Answers
Answer:
x = 4.2
Step-by-step explanation:
To calculate for the value of x, we must first calculate the value of y as shown in the attached photo.
The value of y can be obtained as follow:
Angle θ = 30°
Opposite = y
Hypothenus = 6
Sine θ = Opposite /Hypothenus
Sine 30° = y/6
Cross multiply
y = 6 × Sine 30°
y = 3
Therefore, the value of y is 3.
Now, we can obtain the value of x as follow:
Angle θ = 45°
Adjacent = y = 3
Hypothenus = x
Cos θ = Adjacent /Hypothenus
Cos 45° = 3/x
Cross multiply
x × Cos 45° = 3
Divide both side by Cos 45°
x = 3/Cos 45°
x = 4.2
Therefore, the value of x is 4.2
Using appropriate properties of rational numbers, find the sum 34+421+78+57
Answers
easy.This answer is 590
Of the 30 people riding the bus to work today, 3 rode a bike to work yesterday, 7 drove a car to work yesterday, and the rest rode the bus to work yesterday. If one of the 30 people riding the bus to work today is selected at random, what is the probability that the person selected will ride the bus to work tomorrow?
Answers
Answer:
2/3Step-by-step explanation:
This is a probability question and we have to calculate the sample size.
given the sample size S= 30
3 rode a bike
7 drove a car
20 rode bus
The probability of selecting a person that will take a bus is
[tex]Pr(bus)= 20/30= 2/3[/tex]
Which expressions are equivalent to -6n+(-12)+4n−6n+(−12)+4nminus, 6, n, plus, left parenthesis, minus, 12, right parenthesis, plus, 4, n ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 4(n-3) -6n4(n−3)−6n4, left parenthesis, n, minus, 3, right parenthesis, minus, 6, n (Choice B) B 2(2n-6)2(2n−6)2, left parenthesis, 2, n, minus, 6, right parenthesis (Choice C) C None of the above
Answers
Answer:
The correct option is;
Choice A 4·(n - 3) - 6·n
Step-by-step explanation:
The given expression is
Which gives;-6·n+(-12)+4·n
- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)
The options given are Choice A and/or Choice B;
(Choice A) 4·(n - 3) - 6·n
Which can be simplified as follows;
4·(n - 3) - 6·n = 4·n - 12 - 6·n
Which gives;
4·n - 12 - 6·n = 4·n - 6·n- 12 = -2·n - 12 = -(2·n + 12)
Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n
For choice B, we have;
2·(2·n - 6) which gives;
2·(2·n - 6) = 4·n - 12
Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n
Which gives the correct option as Choice A.
4(n-3)-6n
Khan academy I got this right
Andy spins the spinner and rolls a standard number cube. Find the probability that the spinner will stop on yellow and the cube will show a three or five. Write the probability as a fraction in simplest form.
Answers
Answer: 1/5 , 1/2, and 5/6
Step-by-step explanation:
given;
probability that the cube shows a three (3) or five (5).
probability that it stops on yellow.
1. the probability p of the spinner stopping on yello
= 1/5 times
a cube has 6 sides
2. probability that it shows a 3
this is going to be 3 divided by the total sides on the cube which is 6
P = ( 3 ) = 3/6
Divide both side by 3
= 1/2.
3. probability that it shows a 5,
this is going to be 5 divided by the total sides on the cube which is 6
P = ( 5 )
= 5/6.
Write coordinates of a point whose abscissa is -2 and ordinate is -3.
Answers
Answer:
(-2,-3)
Step-by-step explanation:
abscissa is always know as the x axis
ordinate is known as y axis
therefore
it lies in the fourth quadrant
Answer this question
Answers
Answer:
9120(b)
Step-by-step explanation:
95×96
(90+5)×(90+6)
(90×90)+(5+6) (90)+(5)(6)
(90) square+(5+6) (90)+(5)(6)
I am using identity 4
=8100+990+30=9120
(Mathematics) Please Help (SOS) House Insurance 50 per 4100 Contents Insurance 25 per $100 The above shows the rates charged by an insurance company. How much will a person pay for his insurance, if his house is valued at $50,000, and the content at $10,000? a) $225 b)$275 c)$450 d)$500
Answers
Answer: B.) $275
Step-by-step explanation:
Insurance cost :
Housing insurance - - - 50c per $100
Content insurance - - - 25c per $100
House valuation = $50,000
50c = $0.5
Therefore insurance cost on House:
Valuation × insurance cost
($50,000 / $100) * $0.5
$500 × $0.5 = $250
25c = $0.25
Insurance cost on content :
($10,000 / $100) × $0.25
$100 × $0.25 = $25
Total insurance cost :
$250 + $25 = $275
What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4
Answers
Answer:
-2
Step-by-step explanation:
3n+2n+4=9n+12
5n+4=9n+12
5n-9n=-4+12
-4n=8
n=8/-4
n= -2
Answer:
-2
Step-by-step explanation:
I got this right in my assignment.
anyone know what to do here?
Answers
Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
(-34)(x)≤12
Step 1: Simplify both sides of the inequality.
−34x≤12
Step 2: Multiply both sides by 4/(-3).
(4−3)*(−34x)≤(4−3)*(12)
x≥−16
Answer:
x≥−16
IM A MATH GOD
what is 2.267676767 as a fraction
Answers
Answer:
2267676767/1000000000
Step-by-step explanation:
To write 2.267676767 as a fraction you have to write 2.267676767 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.267676767 = 2.267676767/1 = 22.67676767/10 = 226.7676767/100 = 2267.676767/1000 = 22676.76767/10000 = 226767.6767/100000 = 2267676.767/1000000 = 22676767.67/10000000 = 226767676.7/100000000 = 2267676767/1000000000
And finally we have:
2.267676767 as a fraction equals 2267676767/1000000000
Hope it helps.. If yes mark me BRAINLIEST!!
TYSM!
Answer:
2267676767/1000000000
Step-by-step explanation:
when converting a decimal to fraction,
write down the decimal divided by 1 and than add as many zeros as the digits after the decimal point.
since we have nine digits after the decimal point nine zeros are put after the '1'
Solve this quadratic equation.
6x2 - 2x = 7
Answers
Answer:
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
Step-by-step explanation:
6x² - 2x = 7
6x² - 2x - 7 = 0
Formula
ax² + bx + c = 0
a = 6 ; b = - 2 ; c = - 7
x₁/₂ = [-b ± √(b²- 4ac)]/2a
x₁/₂ = (2 ± √4 + 4×6×-7)/12
x₁/₂ = (2 ± √172)/12
x₁/₂ = (2 ± 2√43)/12
x₁/₂ = 2(1 ± √43)/12
x₁/₂ = (1 ± √43)/6
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h. how long would it have taken annette to do the entire job alone
Answers
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do [tex]\dfrac{1}{5}[/tex] of job = 2 hours
i.e. Time for complete job done alone by Kelly =[tex]5\times2=10\ hours[/tex]
Rest of work = [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job
[tex]\dfrac{4}{5}[/tex] of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together = [tex]3\times\dfrac{5}{4}=3.75\ hours[/tex]
Let t be the time taken by Annette to do job alone.
Then, as per situation
[tex]\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6[/tex]
hence, Annette will take 6 hours to do the entire job alone.
PLZZ HELP MEEEEEEEEEE
Answers
Which graph represents the solution set of the inequality
ASAP PLEASEEEE
Answers
Answer: C
Step-by-step explanation:
The open dot means its not equal to X and the placement is -14.5
what is the length of arc S? angle in radians
Answers
Answer:
Length of the arc = π/50 cm
Step-by-step explanation:
Hello,
The diagram above is a circle and the to find the length of the arc, we need to know the formula for that.
Length of an arc = θ/360 ×2πr
θ = 3π/5
radius (r) = 6cm
Substitute the values into the equation
[(3π/5) / 360] × 2πr
Length of an arc = 3π/5 × ¹/₃₆₀ × 2π(6)
Length of an arc = (3π x 12π) / (5×360)
Length of an arc = 36π/1800
Length of an arc = π/50cm
The length of the arc is π/50cm
1. A rectangle measures 6 cm by
4 cm. Another rectangle with adjacent
sides o on and x cm is geometrically
similar to it.
Find the two possible value of x.
Answers
Answer:
Two figures are similar if they have the same shape:
For example, two rectangles are similar if the quotient between length and wide is the same.
Now, we know that one of the rectangles is 6cm by 4cm.
The quotient of the lengths is 6cm/4cm = 3/2
Here we have a problem; you wrote
" Another rectangle with adjacent
sides o on and x cm ....."
I guess that this means:
The other triangle has one side with a measure of x cm, and the other side will have the lenght A, a constant number that you can complete after.
Now, if this new triangle is similar to the first one, then we must have;
If x > A.
x/A = 6cm/4cm = 3/2
x = (3/2)*A.
if x < A
A/x = 6cm/4cm = 3/2
x = (2/3)*A
There you have the two possible values of x, for a known A.
If x is an even number, the function fX) = 2x - 1 gives an odd number. Identify the set of odd numbers corresponding to this set of even
numbers: {0, 2, 4, 6, 8)
Answers
Answer:
{-1, 3, 7, 11, 15}
Step-by-step explanation:
we just substitute the set of even numbers in the function f(x) given to get our corresponding set of odds numbers
for 0
2(0)-1=0-1=-1
for 2
2(2)-1=4-1=3
for 4
2(4)-1=8-1=7
for 6
2(6)-1=12-1=11
for 8
2(8)-1=16-1=15
find the exact value of tan165°.
Answers
Answer:
the answer would be
[tex] - 2 + \sqrt{3} [/tex]
but if you want it in decimal form it would be -0.26794919
Answer:
tan 165 = -0.2679491924
Step-by-step explanation:
Please answer it now in two minutes
Answers
Answer:
0.9
Step-by-step explanation:
This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.
Answer:
59 degrees
Step-by-step explanation:
Sin = opposite / hypotenuse
In this case sin is 6/7
To find the angle of this we need to use the arcsin, or sin^-1 function
Arcsin(6/7) = 58.9972809 degrees
This gets rounded to 59 degrees
Find SP when CP=Rs.400 and profit%=4%
Answers
Answer:
Rs 416Step-by-step explanation:
Given,
Cost Price ( CP ) = Rs 400
Profit % = 4 %
Selling price ( SP ) = ?
now, Let's find the value of SP:
SP = [tex] \frac{CP \: (100 + \: profit percent \: )}{100} [/tex]
Plug the values
[tex] = \frac{400(100 + 4)}{100} [/tex]
Add the numbers
[tex] = \frac{400 \times 104}{100} [/tex]
Multiply the numbers
[tex] = \frac{41600}{100} [/tex]
Divide
= Rs [tex]416[/tex]
Selling price ( SP ) = Rs 416
Hope this helps...
Best regards!!
what is the product of (-a+3)(a+4)?
Answers
[tex](-a+3)(a+4)=-a^2-a+12[/tex].
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12