Solve this equation and show your work! (1 point for the correct answer and 1 point for showing how to solve the equation) x³ = -2,197

Solve This Equation And Show Your Work! (1 Point For The Correct Answer And 1 Point For Showing How To

Answers

Answer 1
Make the 3 into a fraction and then flip it to cancel out which makes it easier then do it to the -2,197 for you to get x
Solve This Equation And Show Your Work! (1 Point For The Correct Answer And 1 Point For Showing How To
Answer 2

Here we are given with a equation:

[tex] {x}^{3} = - 2197[/tex]

And we have to solve it with appropriate steps.

So, let's start solving.

Add 2197 to both sides of the equation,

[tex] {x}^{3} + 2197 = - 2197 + 2197[/tex]

[tex] {x}^{ 3} + 2197 = 0[/tex]

Now, using the identity:

a³ + b³ = (a + b)(a² - ab + b²)

Let's proceed further.

x³ is the cube of x and 2197 is the cube of 13

[tex](x) {}^{3} + (13) {}^{3} = 0[/tex]

[tex](x + 13)( {x}^{2} - x \times 13 + {13}^{2} ) = 0[/tex]

[tex](x + 13)( {x}^{2} - 13x + 13) = 0[/tex]

Now,

x + 13 = 0x² - 13x + 13 = 0

So, x = -13

And, for the second let's use the discriminate formula,

➝ D = b² - 4ac

➝ D = (-13)² - 4(1)(13)

➝ D = 169 - 52

➝ D = 117

Now, using the D. formula,

[tex]x = \dfrac{ - b \pm \sqrt{ D} }{2a} [/tex]

[tex]x = \dfrac{13 \pm \sqrt{117} }{2} [/tex]

[tex]x = \dfrac{13 \pm 3 \sqrt{13} }{2} [/tex]

So the roots of the equation are:

[tex]{ \boxed{ \bf{x = - 1 ,\: \frac{13 + 3 \sqrt{13} }{2} and \: \frac{13 - 3 \sqrt{13} }{2} }}}[/tex]

And we are done !!

#CarryOnLearning

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Related Questions

10. The weight of an object on a particular scale is 125.2 lbs. The measured weight

may vary from the actual weight by at most 0.4 lbs. What is the range of actual

weights of the object?

A. 124 8 2 x 2 125.6

B. 124.8 2 x 125.6

C. 124 8 5 x 125.6

D. XS 124.8 or x 21256

Answers

Given :

The weight of an object on a particular scale is 125.2 lbs.

The actual weight by at most 0.4 lbs.

To Find :

The range of actual  weights of the object.

Solution :

It is given that uncertainty in weight is 0.4 lbs.

So, minimum weight can be( 125.2 -0.4 ) = 124.8 lbs.

Maximum weight is given by  ( 125.2 + 0.4 ) = 125.6 lbs.

Therefore, the range of actual  weights of the object is between :

124.8  x 125.6 .

Hence, this is the required solution.

Write an equation for the line that is parallel to y=-4x+2 and goes through (0,7)

Answers

Answer: y=-4x+7

Step-by-step explanation:

To find a parallel line, we know that the slope must be the same because parallel lines NEVER touch or cross. All we have to do is use the given point to find the y-intercept.

y=-4x+b

7=-4(0)+b            [multiply]

b=7

Now, we know that the final equation is y=-4x+7.

Answer:

The answer is

y = - 4x + 7

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = - 4x + 2

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point (0,7) and slope - 4 is

[tex]y - 7 = - 4(x - 0) \\ y - 7 = - 4x[/tex]

We have the final answer as

y = - 4x + 7

Hope this helps you

find the domain of the function, picture included

Answers

Answer:

[4,∞)

Step-by-step explanation:

x≥4

[4,∞)

what is 70-30+12 then divided by 20

Answers

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

PLS HELP!! ITS URGENT!!! SHOW YOUR WORK PLEASE

Answers

Answer:

x = 6, y = 8

Step-by-step explanation:

First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:

x · 1.5 = 9 → x = 6

y · 1.5 = 12 → y = 8

S = 4LW + 2WH; S = 168, L = 8, W = 4

H=

Answers

Answer:

h=5

Step-by-step explanation:

Is this correct? Please let me know

Answers

Answer:

Step-by-step explanation:

i think yes

Yes the answer is correct


Austin removed 16 fish from his pond over a period of 2 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?

Answers

Answer:

-8

Step-by-step explanation:

if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.

pls help math 15 points

Answers

3 x's at 1

4 x's at 1 1/4

3 x's at 1 1/2

1 x at 1 3/4

No x's at 2.

Now, let's combine all the recipes with 1 1/4

5/4 * 4 = 20 / 4 = 5 teaspoons

11-3(a-2)=27 HELP PLZ

Answers

Answer:

a==3.3  a=-3 1/3  a=-10/3

all of those are different possible answers

Step-by-step explanation:

which property is illustrated?
3. (8 + 0) = 3.8

Answers

I have no clue but I just want the thanks

how do you multiply a fraction with a mixed number

Answers

Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.

Step-by-step explanation:

By multiply fraction  by a mixed fraction you will have to rewrite the mixed number as an improper fraction.

For example ,

1  1/2  is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.

132891 round the nerast hundred

Answers

Pretty sure that 132,891 rounded to the nearest hundred is 132,900

Determine the range and injective of the function.

j(x) = -x - 1

Answers

Answer and Step-by-step explanation:

Solution:

Range:

Let f(x) = -x-1

                        Here a=0 and b= -1, x=-b/a

Put the values, we get

       X= - (-1)/0 = infinity

Hence the range of the function f(x) = (-∞, ∞)

Injective:

A function is said to be injective if f(x1) = f(x2), gives x1=x2

Let f(x1) = -x1-1

 f(x2) = -x2-1

 f(x1) = f(x2)

Solve the equation algebraically. x^2-7x-1/7=0

Answers

Answer:

[tex]x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\[/tex]

Step-by-step explanation:

[tex]x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\[/tex]

given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =

Answers

By the product rule,

[tex](fg)'=f'g+fg'[/tex]

so that

[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]

By the quotient rule,

[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]

so that

[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]

i’m not sure if this is right??

Answers

Answer:

I think its right

Step-by-step explanation:

thats what I got too

MAYBE THIS IS EASY BUT I STILL DOMT GET IT :c

Answers

Answer:

What's the question???

Answer:

Cool can you give me brainliest

Step-by-step explanation:

Which of the following steps should be completed first when simplifying ?

Answers

answer: combine like terms

Answer:C

Step-by-step explanation:

HELP What is the perimeter of this rectangle?

Answers

Answer:

7×2=14 (for the long side)5×2=10 (for the short sides) the you add up the two answers 14+10=24

Length = 5
Width = 7
Perimeter = 24
Formula = P = 2(L*W)

21 +3+ (3 x 9) * 9+5

Answers

Answer:

272

Step-by-step explanation:

Do you need this?

Answer:

272

Step-by-step explanation:

Find two consecutive integers whose product is 12.

Answers

Answer:

3 and 4

Step-by-step explanation:

Look at the factors of 12 and list them out

1 and 12

2 and 6

3 and 4

Find the 2 numbers that are consecutive

3 and 4

Estimate the difference.
689.2 - 263 = ?
To estimate the​ difference, first round each number to the nearest hundred.

PLZ HELP ME I AM STUCK ON THIS QUESTION :(

Answers

Answer:430.2

Step-by-step explanation:

Brian can type 1 and one-third pages every 20 minutes. How many pages can he type in 2.5 hours? 7.5 pages 10 pages 22.5 pages 200 pages

Answers

Answer:

10 pages

Step-by-step explanation:

1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages

20 minutes goes into 2 and 1/2 hours 7.5 times

10 pages i did this on edge

2020 hope this helps

your welcome =)

how would i simplify this?

Answers

What’s the numbers to simply it?

by ignoring your real intersets when choosing a career,you risk spending your work life feeling bored, and dissatisfied.
A. intrigued
B. content
C. elated
D. frustrasted

Answers

Answer: D because it would mess with your feelings

I would put the answer as D.

What is the scale factor from Figure 1 to Figure 2?

Answers

You think I know when you don’t show it?
No image included :(

Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each. Select the equation that represents the scenario. O) p = 2a + 3a + 18 O) 2a + 3a = 18p O) 2p + 3a = 18 O) 2a + 3p = 18

Answers

Answer:

its B, C and E

Step-by-step explanation:

on edge

Answer:

2a + 3p = 18

Step-by-step explanation:

The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.

Enter an algebraic expression to model the given context. Give your answer in simplest form.

The price s of a pair of shoes plus 6% sales tax.

The algebraic expression is

Answers

(s)+(s×0.06)=t

t is the total

s is the shoes

Find the missing length, X.
Find the missing length

X= [ ] in

Answers

33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

[tex]\frac{33}{11}=\frac{24}{x}[/tex]

Cross multiply,

33*x = 24 * 11

[tex]x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in[/tex]

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