All categories

3 years ago

6x^3 - 7x^2 - 3x = 0. Show the correct steps.

Mathematics

2 answers:

Jlenok [28]3 years ago

6 0

Hey there! :)

Answer:

x = -1/3, 0, 3/2.

Step-by-step explanation:

Starting with:

6x³ - 7x² - 3x = 0

Factor out a greatest common factor, or x from each term:

x(6x² - 7x - 3) = 0

Factor the expression inside of the parenthesis:

x(3x +1)(2x - 3) = 0

Use the Zero Product Property to find the solutions:

x = 0

---------

3x + 1 = 0

3x = -1

x = -1/3

-----------

2x - 3 = 0

2x = 3

x = 3/2

----------

The solutions to this equation are x = -1/3, 0, 3/2.

pishuonlain [190]3 years ago

5 0

Answer:

x = 0 or x = -1/3 or x = 3/2

Step-by-step explanation:

6x^3 - 7x^2 - 3x = 0

Factor out an x.

x(6x^2 - 7x - 3) = 0

To factor the trinomial, we try trial and error.

6x = 2x * 3x

-3 = -1 * 3 = -3 * 1

We need to place 2x and 3x and -1 and 3 or -3 and 1 in order to make the middle term come out as -7x.

x(3x + 1)(2x - 3) = 0

x = 0 or 3x + 1 = 0 or 2x - 3 = 0

x = 0 or 3x = -1 or 2x = 3

x = 0 or x = -1/3 or x = 3/2

You might be interested in

Howdo you mutiply mixed numbers?

yawa3891 [41]

Answer:

Make each number on the fraction an improper fraction

Then simplify it

Then multiply the numerator and denominator

put the answer in a short term

And make sure the answer makes sense

Guess what?

I am also learning about multiplying mixed numbers too!

5 0

3 years ago

-4x-9y=1 -x+2y=-4 send help thanks

evablogger [386]

Hey those are linear functions, gotta find Y or X and draw on two axis X/Y. in first y = 4/9x + 1/9. in second y = X/2 - 2.

6 0

3 years ago

Point P (-3,-1) is the preimage. Point P’(3,-1) is the image after a reflection is performed. Give the line of reflection.

SOVA2 [1]

The perpendicular bisector of these two points is the vertical line x = 0.

x = 0 is the line of reflection.

6 0

3 years ago

What is the exact volume of the sphere with a diameter of 12.3cm?

navik [9.2K]

Answer:

Volume of sphere is given by:

$V = \frac{4}{3}\pi r^3$ ......[1]

where

V represents the volume of sphere

r represents the radius of the sphere.

Value of $\pi = 3.14$

Since, it is given that: Diameter(D) = 12.3 cm

Diameter(D) = 2r

$12.3 = 2r$

Divide both side by 2 we get;

r = 6.15 cm

Now, substitute the value of r in [1] we get;

$V = \frac{4}{3}(3.14)(6.15)^3$

Simplify:

V = 973.853732 cubic cm

Therefore, the exact volume of sphere is, 974 cubic cm

7 0

3 years ago

How to determine the derivative

stich3 [128]

Here is how to do number 1. Try checking out the app called photomath for help with math problems like derivatives. It provides step-by-step solutions.

3 0

2 years ago