solve 2x^3+7x^2-2x-1=o​

Answers

Answer 1

Answer:

[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

[tex]2x^3+7x^2-2x-1[/tex] = 0

We have to find all the factors of a and d and put them in a fraction

[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]

So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]

Solve the second half of this equation using the quadratic formula to get

[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]

We already know the solution for the first half of the equation (1/2)

So the final answers are:

[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]


Related Questions

the four fastest times in a race were 27.08 seconds 27.88 seconds 27.8 seconds and 26.78 seconds between which two times does 27.84 belong

Answers

The two times should be 27.88 and 27.8

Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about how much rain does El Paso get?

Answers

Answer:

8.85 inches

Step-by-step explanation:

Divide Houston's average by 5.2 to find El Paso's:

46/5.2

= 8.85 inches

So, El Paso gets about 8.85 inches of rain

Answer:

8.846

Step-by-step explanation:

V - W = uvw, solve for w

how do I do that?​

Answers

Answer:

[tex]W=\frac{V}{UV+1}[/tex]

Step-by-step explanation:

[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]

7-(-1)
Simplify the expression

Answers

It would be 8........

What type of number is negative 15 over 3

Answers

Answer:

Rational number

Step-by-step explanation:

Rational numbers are defined as the quotient (division result) of two integers

can you help for me 20x+5y=15 for y

Answers

Move all terms that don't contain Y to the right side and solve.
The answer would be y=3-4x


Which expression can be used to solve
3/5•|• 7/10

Answers

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

(-8p^3+9p^2q)+(8p^3-pow+5q^2)

Answers

Answer:

-1opw+9p^2q+5q^2

Step-by-step explanation:

Describe the transformation used to map the graph of f(x) =x onto the graph of g(x)= 4x

Answers

Answer:

Step-by-step explanation:

5). Graph of the parent function f(x) = x has been given in the picture.

   To map the graph the function 'f' onto the graph of function 'g',

   f(x) = x

   g(x) = 4x

   A vertical stretch of the function 'f' by a scale of 4 is required.

6). Rule for a function to be translated by 'a' units down,

   g(x) = f(x) - a

   By this rule, if the function 'f' is translated 7 units down,

   g(x) = f(x) - 7

   g(x) = x - 7

What is -2/3 plus 1/5?

Answers

Answer:

-7/15

Step-by-step explanation:

Find GCF of both denominators

GCF: 15

Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5

This gives you -10/15 + 3/15

Solve

-7/15

what is 293+678 bc I need help

Answers

Answer:

971

Step-by-step explanation:

All we need to do is add.

293 + 678

971

Best of Luck!

Answer:

68+1

Step-by-step explanation:

what is 4(1/2+3/4)+(-2)

Answers

Answer:

3

Step-by-step explanation:

4(1/2+3/4)+(-2)

4 x 5/4 - 2

5 - 2

3

i hope this helps :)

Answer:

your answer is 3

Step-by-step explanation:

Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?

Answers

Answer:

Hi there!

Your answer is:

$89

Step-by-step explanation:

35+18x(.75)

Plug in 4 for x.

35+ 18(4) × (.75)

35+ 54

89$

Hope this helps

Help me pleaseee

The bottom number is a 4 btw it’s 20 points ❤️

Answers

Answer: It is 20 m, multiply each number by 1.25

How to simplify 27/63

Answers

Answer:

3/7

Step-by-step explanation:

We do this by first finding the greatest common factor of 27 and 63, which is 9.

Then, we divide both 27 and 63 by the greatest common factor to get the following simplified fraction:  3/7

hope this helps plz mark brainilest

Answer:

0.42857142857

Step-by-step explanation:

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 18 cm 4 cm Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool? O 4.5 feet O 5 feet 06 feet 0 6.75 feet Wema​

Answers

Answer:

B

Step-by-step explanation:

Find the equation of the line with slope −2 and that contains the point (−9,−7). Write the equation in the form y=mx+b and identify m and b.

Answers

Answer:

m = -2 which is the slope

b = 2 which is the intercept of the line.

Step-by-step explanation:

We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line.  We can designate variables to each of these points as shown below

Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]

Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]

[tex](y--7)/(x--9) = -2[/tex]

[tex](y +7)/(x+9) =-2[/tex]

[tex]y +7 = -2(x+9)[/tex]

[tex]y =-2x+2[/tex]

We are given the form:  y=mx+b.

we can compare this with our equation for the line. [tex]y =-2x+2[/tex]

We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.

Help Me Please!! The Chilly Fizz Root Beer can was 15.2 cm high. The new can is 0.5 cm shorter. The new can has a diameter of 5.4 cm. What is the volume of the new​ can? Use 3.14 for the value of π.

Answers

First find the height of the cylinder:

15.2 -0.5 = 14.7

The formula for a circle is : V= [tex]\pi r^{2}[/tex] h

V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)

V= (3.14) (5.4)² (14.7) simplfy

V= 1345.96728

A carpenter makes wooden chairs.

He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.

Answers

Answer:

Is there supposed to be a graph somewhere?

Find the domain of the graph

Answers

Answer:

The domain should be on the x-axis.

I might be wrong.

How fast will the train cover 290 miles if its speed is s miles per hour?

Answers

Answer:

290/s

Step-by-step explanation:

Basically, the question is asking you to find:

290/s miles per hour

The only problem is translating words to math.

Hope this helps!

Solve equation t+26=25

Answers

Answer:

t+26=25

t= 26-25 = 1

Step-by-step explanation:

Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

Brian will have 258564 pennies after 7 years

2(x+y) = 2x + 2y
what property is this

Answers

Answer:

Distributive Property.

Step-by-step explanation:

You distribute the 2 to each of the terms.

How many 1/6s are in 2/3?

Answers

Answer:

four

Step-by-step explanation:

there are 4 1/6s in 2/3. 1/6 times four is 4/6. divide numerator and denominator by two to simplify, and you get 2/3. I hope this is correct :)

The number 1/6 s in the fraction 2/3 are 4.

The given fractions are 1/6 and 2/3.

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

Number of 1/6s are in 2/3

= 2/3 ÷ 1/6

= 2/3 × 6/1

= 4

Verification:

1/6 + 1/6 + 1/6 + 1/6

= 4/6

= 2/3

Therefore, the number 1/6 s in the fraction 2/3 are 4.

Learn more about the division of fractions here:

https://brainly.com/question/17205173.

#SPJ6

A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help

Answers

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

__

The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

solve each inequality -3x<12

Answers

Answer:

-3x<12

/-3  /-3

x<-4

Step-by-step explanation:

7р + 8р - 12 = 59 what would this be

Answers

Answer:

4.7333....................

Step-by-step explanation:

First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....

Is 8.168 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.

Answers

Answer:

No.

Step-by-step explanation:

The friend is not correct because in this case one five is 100 times greater than the other, not 10.

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