What is the value of x in the equation shown below?
x3 + 1 = 9

What Is The Value Of X In The Equation Shown Below?x3 + 1 = 9

Answers

Answer 1

Answer:

x = 7/3 or 2.33

Step-by-step explanation:

x3 + 1 = 8

x3 = 8 - 1

x3 = 7

x = 7/3 or 2.33

HOPE THIS HELPS YOU!! :)

Answer 2

Answer: x = 2

Step 1.

In order to solve this non-linear equation, we need to move all the terms to the left side.

In x³ + 1 = 9...

- term 1, will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

Rewrite the equation like this:  (x³ + 1) + (-1) = 9 + (-1)

Step 2.

Add x³ + 1 + (-1)

x³ + 1 + (-1) = 8

Now, x = 8.

Step 3.

In this non-linear equation, the variable needs to be isolated.

This is accomplished when both sides are exponentiated by the reciprocal of the variable's exponent, which in our example, 1/3 is equal to

Notice that since we exponentiated a simplified fraction with an odd denominator, only one solution has been created.

Rewrite the equation: [tex](x^3)^\frac{1}{3} =8^\frac{1}{3}[/tex]

Step 4.

We need to exponentiate the power.

The following rule is applied: [tex](A^B)^C=A^B^C[/tex]

According to the formula,

A = X

B = 3

C = 1/3

Rewrite the equation: [tex]x^3^\times^\frac{1}{3} =(2^3)^\frac{1}{3}[/tex]

Step 5.

We need to reduce this fraction, the 3 in x to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, 3 is the common factor.

Rewrite the equation: [tex]x=2^\frac{3}{3}[/tex]

Step 6.

Lastly, we'll need to do the same thing as we did in step 5. Reduce the fraction in [tex]x=2\frac{3}{3}[/tex]. This can be done by dividing out those factors that appear both in the numerator and in the denominator.

Hence, the common factor is 3 since it occurs both in the numerator and the denominator.

Hence, x = 2.


Related Questions

Select the end behavior of the exponential function shown in the graph

Answers

Answer:

The x graph

Step-by-step explanation:

The x graph

Answer: D

Step-by-step explanation:

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Answers

Answer:

21:  37

They are the opposite side exterior angles

22: 40

23:  126

They are the opposite side exterior angles

24: 1

25: 12

90 - 48 = 42

42 = 3x + 6

36 = 3x

12 = x

26:   41

180 - 139 = x

41 = x

27:   140

180 - 40 = 140

28: 68

90 - 22 = 68

29: False

Complementary angles add up to 90 degrees

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Answers

i don’t know but it is really annoying and they need to stop. they are virus’

y-2x=1 does the equation describe a function
yes or no​

Answers

Answer:

Yes.

Step-by-step explanation:

Please Hurry !!

The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.

Answers

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

can someone please answer this

Answers

Answer:

its c

Step-by-step explanation:

The answer would be B because and “infinite many solutions” has a line going through the graph which is why B is the best answer.

Hope this helps :))

ty in advance for whoever does this. Find the range and put it on the graph. thank you <3

Answers

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2

[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0

[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2

[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4

[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

please i rlly need help quick

Answers

Answer:

Step-by-step explanation:

100 G

1 L

4 Kg

40 ML

Answer:

100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream

Step-by-step explanation:

pls mark me brainlyest!

write the next three terms of the arithmetic sequence.
5/6, 2/3, 1/2, 1/3, _, _, _,

i will mark as brainliest

Answers

The next terms are 1/6, 0, & -1/6.

`what is the sooulition to x + 8 = 25

Answers

Answer:

17

Step-by-step explanation:

Well you have to get x by itself so....

subtract 8 from both sides

25 -8 = 17 there is your answer

Hey there!


x + 8 = 25

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 25 - 8


SIMPLIFY IT!

x = 25 - 8

x = 17


Therefore, the answer should be: x = 17


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please help me, thank you so much!! It’s just the words, no photo just so you know.

Answers

Answer:

Step-by-step explanation:

formula: a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 30 = 289

       -30    -30

a^2 = 259

(square root)

a = approximately 16

Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.

8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d.
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
She did not square the 12 in the problem. She should have used 12 squared = 144.
She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.

Answers

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

A triangle's side lengths are 15 cm and 10 cm. Write an inequality to determinte the possible measure for the missing side length.

Answers

Answer:

the missing side lenght = x

0 < x < 15+10

0 < x < 25 cm

Karl is comparing the interest rates for accounts at two different banks. He will deposit $600 into an account and will not make any additional deposits or withdrawals. Bank Q offers 1% interest compounded annually. Bank R offers 1.5% simple interest.

Answers

Answer: bank R for 1 year

Step-by-step explanation:

Given

Principal deposit is [tex]P=\$600[/tex]

Bank Q offers 1% interest compounded annually

Bank R offers 1.5% simple interest annually

For Bank Q, Compound interest is given by

[tex]\Rightarrow P[1\frac{R}{100}]^t-P[/tex]

for 1 year it is

[tex]\Rightarrow 600[1+\frac{1}{100}]-600=\$6[/tex]

For bank R, simple interest is

[tex]S.I.=\dfrac{P\times R\times T}{100}[/tex]

for 1 year it is

[tex]\Rightarrow S.I.=\dfrac{600\times 1.5\times 1}{100}=\$9[/tex]

Clearly, bank R offers more interest for 1 year

Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?

Answers

Answer:

96 combinations

Step-by-step explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible

Answer:

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this  

Step-by-step explanation:

B1  M1    <  B1 M2 <  B1 M3  < B1 M4  < B1 M1 T1  < B1 M1 T2 < B1 M1 T3  to B1 M1 T8 etc = 12 combinations step 1

B2   M1  repeat above with B2 to replace B1 above  = 12

B3   M1  repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes

Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

£

Answers

Where: A = P(1 + rt)

A = $1,265.00

I = A - P = $165.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 1100(1 + (0.05 × 3)) = 1265

A = $1,265.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,100.00 at a rate of 5% per year for 3 years is $1,265.00.

Write the equation of the graph.

Answers

I believe the equation is f(x) = 2^x -3

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Answers

Answer:

False

Step-by-step explanation:

diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles.

Sarah drove 420 miles in 6 hours. Jonathan drove the same distance going an average of 60 miles per hour throughout the entire trip.
Who was driving faster and by how much?

Answers

Answer:

Sarah was driving faster by 10 mph.

She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.

[tex]16z - (-12z) =[/tex]

Answers

Answer:

4

Step-by-step explanation:

Kara is sorting buttons by length for a craft project.The line plot shows of each button.If kara lines up all the 3/4 inch buttons What would be the total

Answers

Required picture attached below :

Answer:

2 1/4 inches

Step-by-step explanation:

From the line plot Given ;

The frequency or number of 3/4 inch button is 3

Therefore, lining up all the 3/4 inch button in the plot, we have :

3/4 + 3/4 + 3/4

(3 + 3 + 3) /4

9 /4

2 1/4 inch

m(x)=-5/3x+4
Find m(3)

Answers

Answer:

-1

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses:

m(x) = (-5/3)x + 4

To find m(3), replace x in the above equation with 3:

m(3) = (-5/3)(3) + 4  =  -5 + 4 = -1

What number makes the number sentence true?

9x5x2 = 9x

Answers

Answer:

x=0, 1/10

Step-by-step explanation: hope I helped

I was confused on your question, but what I did was solved for x.

Whats the answer to this?

Answers

Step-by-step explanation:

area of figure = 5x² + 3

plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️

can someone help me please ❤️

Answers

Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314

What is the area ? To this ?

Answers

Answer:

9 square feet

Step-by-step explanation:

A = bh / 2

b = 3

h = 6

A = 6 * 3 / 2 = 9

Answer: I wanna say its either 2,304 or 18 square feet. I could be wrong but if I am I'm Sorry! Have A Nice Day!! <3

Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?


Will mark b if correct:)

Answers

123. angle 1 would be the same as angle 5, seeing as the lines are parallel. 5&1 are both on top on lines A & B AND on the same side of transversal

The price of a new gaming PC was increased from $280 to $364. By what percentage was the price of the gaming PC increased?

MY LAST QUESTION PLZ HURRY

Answers

30% because if u do the math it sums up to 30%

Answer:

1.3%

Step-by-step explanation:

help a b outttttttt please

Answers

the answers are 11 and 9, multiply you get 90 and add you get 20.

Answer:

The two numbers are 9 and 11

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O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)

Answers

Answer:

es la a. 5+8 es esa amigo la respuesta

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