How can i solve x^3+7x=8x^2

Answers

Answer 1

Answer: $x^3+7x=8x^2\ \ \ /-8x^2\n\nx^3-8x^2+7x=0\n\nx(x^2-8x+7)=0\iff x=0\ \vee\ x^2-8x+7=0$

$x^2-8x+7=0\n\na=1;\ b=-8;\ c=7\n\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-8)^2-4\cdot1\cdot7=64-28=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(8-6)/(2\cdot1)=(2)/(2)=1;\ x_2=(8+6)/(2\cdot1)=(14)/(2)=7\n\n\n\nAnswer:x=0\ or\ x=1\ or\ x=7.$

Answer 2

Answer: $x^3+7x=8x^2\n \nx^3-8x^2+7x =0\n \nx(x^2-8x+7)=0\n \nx=0 \ \ \vee \ \ x^2-8x+7 =0\n \n \Delta = b^(2)-4ac =(-8)^(2)-4*1*7=64 - 28 = 36$

$x_(1)=(-b-√(\Delta ))/(2a) =(8- √(36))/(2)=(8-6)/(2)= (2)/(2)= 1 \n \nx_(2)=(-b+√(\Delta ))/(2a) =(8+ √(36))/(2)=(8+6)/(2)= (14)/(2)= 7 \n \n Answer : x=0 \ \ \vee \ \ x=1 \ \ \vee \ \ x= 7$

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Which function is a quadratic function?A) p(x) = 2x (x^2 + 6) + 1
B) m(x) = -4 (x + 3) -2
C) t(x) = -8x^2 (x^2 - 6) + 1
D) h(x) = 3x (x - 2) - 4

Answers

Answer:

Step-by-step explanation:

3x (x-2) - 4

3x²-6x-4

I hope it's helpful

Order the following units of capacity from least to greatest:gallon,pint,cup,quart

Answers

The order of the given units from least to greatest is

cup < pint < quart < gallon

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

According to the given question.

We have different units gallon, pint, cup and quart of volume.

For arranging the above units from least to greatest we use unit conversion.

Since,

1 gallon = 16 cups

1 quart = 4 cups

and

1 pint = 2 cups

So, we have converted all the units in cups.

Hence, the order of the given units from least to greatest is

cup < pint < quart < gallon

Find out more information about unit conversion here:

brainly.com/question/10943201

#SPJ2

First you would have a cup, then you would have a pint, then a quart, and finally a gallon.
I hope I helped you

There are approximately 2.2 million deaths per year in country A. Express this quantity as deaths per minute

Answers

1 year = 365 days
365 days = 365*24 hours
365*24 hours = 365*24*60 minutes

2.2 million deaths / year
2.2 * 10^6 deaths / (365*24*60) minutes
4.186 deaths / minute

Answer: Approximately 4 deaths per minutes.

Step-by-step explanation:

Since, 1 year = 365 days,

1 day = 24 hours,

1 hour = 60 minutes,

⇒ 1 year = ( 365 × 24 × 60 ) minutes = 525600 minutes,

If the numbers of deaths in one year = 2.2 million = 2200000

⇒ The numbers of deaths in 525600 minutes = 2200000

⇒ The number of deaths in 1 minute = 2200000/525600 = 4.18569254186 ≈ 4

Hence, There are approximately 4 deaths per minutes.

Write a system of equations with a solution (4,–3)

Answers

1. So we have the system of equation. (4, -3)
let’s create another system of equation.
Let a = 4
and Let b = -3
First equation
=> Let’s pick any numbers to be used. Let’s have number 5
=> 5a + 5b
=> 5 (4) + 5 (-3)
=> 20 + (-15)
negative and positive is equals to negative
=> 20 – 15
=> 5 (this the first value of our equation, let this be the value of X)

Second
=> Pick another number, Let’s have 6
=> 6a + 6b
=> 6 (4) + 6 (-3)
=> 24 + (-18)
=> 24 – 18
=> 6 (this is the value of our second equation, let this value be Y)

Now, we have (A, B) = (4, -3) and (X, Y) = (5,6)

Answer:

A linear equation can be written in several forms. "Standard Form" is #ax+by=c# where #a#, #b# and #c# are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii) #(4, -3)# is a solution to both.

#ax+by=c#. We want #a#, #b# and #c# so that

#a(4)+b(-3)=c# (This will make (i) and (iii) true.)

Step-by-step explanation:

In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?8 units up

8 units down

8 units left

8 units right

Answers

y coordinates control up and down

increase by 8 means go up by 8

8 units up

So,

A translation is a transformation in which the figure is simply moved across space; the preimage is congruent to the image.

We are told that the y-coordinate of the preimage increase by 8. We know that the y-coordinates have to do with vertical movement on a coordinate plane. Since the y-coordinates increased by 8, the preimage was moved up 8 units.

The correct option is A.

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.2b4+5

Answers

In this case, the greatest common factor IS 1;

There is no number or variable that divides evenly into both 2b^4 and 5, so you leave it as 2b^4 + 5.

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