if a+b= -1 then the value of a^3+b^3 - 3ab= ?

Answers

Answer 1

Answer:

-1

Step-by-step explanation:

[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]


Related Questions

A tortilla measures 8 inches in diameter, shown below. What is the tortilla's area?

Answers

16pie square inches

The required area of tortilla is 16π square inches.

What is an area of a circle?

Area of a circle is defined as the region occupied by the circle in two-dimensional plane.

Mathematically,

                         A = π (d/2)²

where d is the diameter of circle

or,                      A = π r²  

where r is the radius of circle.

Now, given diameter of tortilla is 8inches.

⇒ d  = 8inches

Since,tortilla is a circle

So, area of tortilla A = π (d/2)²

⇒ A = π (8/2)²

⇒ A = π (4)²

A = 16π square inches

Hence, required tortilla's area is 16π square inches.

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can a rational number + a rational number = irrational number

Answers

Answer:

no

Step-by-step explanation:

its just like a positive number + a positive number cannot equil a negitive number.

a
Example: s Mr. Thompson works a basic week of 40 hours and his basic rate is $18 per hour
Calculate his basic wage for the week

Answers

Answer:

$720 in one week

Step-by-step explanation:

40 * 18

$720

Best of Luck!

Answer:

$720

Step-by-step explanation:

The equation set up for this problem is 40x18 because for every one hour Mr. Thompson works, he earns $18.

Morris borrowed $6 from his mother. so far, he has repaid $4. if debt is represented as a negative number, what number sentence shows the amount of jack's remaining dept.?

Answers

if it was negitive I would be -2

Step-by-step explanation:

so 6-4=2 and if you make that negative it would be -2

Answer:

-$6 + $4 = -$2

Step-by-step explanation:

Since Morris borrowed 6 dollars to begin with, the first term in my equation is -6$, representing the debt he has incurred from taking a loan of 6 dollars from his mother. After paying $4 dollars, he would still be in debt of $2 to his mother. Since he is still in debt of 2 dollars, the furthest right term in my aforementioned equation is -$2.

URGENT NEED HELP
-3^3+square root of 21
Litterly tried everything can’t figure it out , even cried please help

Answers

then try -21.4 that should work

Need geometry help ASAP

Answers

Answer:

D. 82

Step-by-step explanation:

a^2 + b^2 = c^2

80^2 + 18^2 = c^2

324 + 6400 = c^2

6724 = c^2

82 = c

Graph the given function. State the domain and range. y=-11√6-9x+1

Answers

Go to desmos then you will get your answer and makes sense graphining

Is -2/5 irrational or rational and why???

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

A) The sum of 5 and 2 times p is at least 11.

Answers

5 + 2p is at least 11.

Subtract 5 from both sides.

2p is at least 11.

p > 5

A pole casts a shadow that is 15 feet long. A 6-foot tall man casts a shadow that is 5 feet long. What is the height of the pole?

Answers

Answer: i think the answer to your problem would be 14

Step-by-step explanation: sorry if i'm wrong!

6-5=1

15-1=14

Given: B is the midpoint of segment AC. AB = 3x - 1, BC = x +7
Find: The length of segment AC
22
02
011

Answers

Answer:

hope it helps

plz mark as brainliest

Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

"To understand the calculation, check below."

Midpoint

The middle point of the a line segment is called the midpoint.

It's really the centroid of both segment and the ends, and it is equidistant from both.

It cuts the portion in half.

[tex]B[/tex] is the midpoint of [tex]

AC[/tex] [tex]\boldsymbol{AB=BC}[/tex][tex]3x-1=x+7[/tex] [tex]2x

AC=8[/tex] [tex]\boldsymbol{x=4}[/tex]

So,[tex]BC=4+7[/tex] [tex]=\boldsymbol{11}[/tex]

Therefore,[tex]AC=2BC[/tex] [tex]=2 \times 11\\=\boldsymbol{22}[/tex]Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

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which diagram show lines that must be parallel lines cut by a transversal

Answers

Answer: hope i helped with this answer~

Step-by-step explanation:

The fourth diagram  show lines that must be parallel lines cut by a transversal

What is Straight line?

A line is an infinitely long object with no width, depth, or curvature.

Parallel lines  refers to two lines which can be found on the same plane, at an equidistance and does not meet.

A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry.

The fourth diagram has two same-side interior angles that are supplementary (add to 180°).

The converse of the same-side interior angle theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.

Hence, the fourth diagram  show lines that must be parallel lines cut by a transversal

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Can someone help me with Case 4?

Answers

Answer:

I think it is 2.94 cm

Answer:

7.4676

Step-by-step explanation:

19.88-16.94=2.94 then convert it to cm 7.4676

Find the midpoint between each pair of points.
(-1,-5) and (-5,9)

Answers

Answer:

work is pictured and shown

What is the area of this shape? Explain why?

Answers

Answer: 672

1. You need to find the arena of the missing piece so with the 40 on top you will subtract 12 which will give you 28

2. To find the other side subtract 28-12 to get 16 then you will multiple then together to get 448

3. Now just Multiply 40 and 28 to get 1120

4. Subtract 1120 and 448 and you’ll get the answer of 672

For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

The concentration of Marcia's solution is:

1.0 kg / 3.0 L = 0.33 kg/L

The concentration of Bobby's solution is:

(2.0 lb × 1 kg / 2.2 lb) / (7.0 pints × 1 L / 2.11 pints) = 0.27 kg/L

Therefore, Marcia's solution is more concentrated.

Shawn got a job as an Uber driver. He spends $180 on gas per month and charges $35 per ride. Write a function rule for Shawn's profit for one month: Question Blank type your answer... If Shawn gives 15 rides in August, he will have a profit of $ Question Blank type your answer... .

Answers

Answer:

$345

Step-by-step explanation:

35(15)-180

345

Find: (4x²y3 + 2xy2 - 2y) - (-7x?y3 + 6xy2 – 2y)
Place the correct coefficients in the difference.

Answers

Answer:

The coefficients are

11,-4 and 0.

Step-by-step explanation:

We are given two algebraic expressions. We are subtracting the second from the first.

First one is:

(4x²y3 + 2xy2 - 2y)

Second expression is:

(-7x?y3 + 6xy2 – 2y)

The given expression:

(4x²y3 + 2xy2 - 2y) - (-7x?y3 + 6xy2 – 2y)

The coefficients are

11,-4 and 0.

Please help :D <3. Do not understand this one.

Answers

Sorry for my messy handwriting but this is the answer

How many solutions does 6d+8=14+3d have?

Answers

Answer:

d =2

Step-by-step explanation:

6d+8=14+3d

Subtract 3d from each side

6d-3d+8=14+3d-3d

3d +8 = 14

Subtract 8 from each side

3d +8-8 = 14-8

3d =6

Divide by 3

3d/3 = 6/3

d =2

. Reason Rachel spent $36.32 in the grocery store. She paid the exact amount and used exactly 4 bills and 4 coins. What bills and coins did Rachel use?

Answers

Answer:

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

Step-by-step explanation:

What is the value of the expression -25 + 6?

Answers

Answer:

-19

Step-by-step explanation:

Think of it this way, Lets say you have 25 dollars in debt right? and you add 6 dollars to the area where there was debt. how much are you in debt now? 19 dollars still in Debt.

what is (3x – 2)(4x + 1) =

Answers

Answer:

[tex]12x^{2} -5x -2[/tex]

Step-by-step explanation:

We multiply the first term 3x by 4x and then 3x multiplied by one. We proceed to multiply by -2 by 4x and multiplied by -2 +1. We finally add and get the result.

[tex]12x^{2} -5x -2[/tex]

solve |-3d | =15 please lol

Answers

Answer:

[tex]d=-5 \text{ or } d=5[/tex]

Step-by-step explanation:

[tex]|-3d|=15\\\\-3d=15 \text{ or } -3d=15\\\\\frac{-3d=15 \text{ or } -3d=15}{-3}\\\\\boxed{d=-5 \text{ or } d=5}[/tex]

Hope this helps.

An angle measures 107.8° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

x=36.1

supplementary angle = 143.9 degrees

Step-by-step explanation:

angle: x

supplementary angle: 180-x

x = (180-x)-107.8

2x = 72.2

x = 36.1 degrees

180-x =  143.9 degrees

supplementary angle = 143.9 degrees

x measures 107.8 less than 180-x

x=180-x-107.8

x=72.2-x

Add x to both sides

2x=72.2

Divide both sides by 2

x=36.1

_________________________________

hope this helps, I just solved this so probably should get it fact checked.

What represents the area of a rectangle whose length is x − 6 and whose width is x − 8?

Answers

Answer:

Which of the following represents the area of a rectangle whose length is x - 6 and whose width is x - 8? A) x2- 14x - 48. B) x2+ 48. C) x2- 48. D) x2- 14x + 48 . and... for the first one multiply both out to get x^2-14x + 40 8 D 4(8x^3+a million) element out 4 utilising the x^3+y^3 formula, on (2x)^3 + a million^3)

Step-by-step explanation:

What is 3000 times 1000?

Answers

Answer:

3000000

Step-by-step explanation:

:D

The equivalent value of the equation is A = 3000000

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 3000

Let the second number be q = 1000

Now , A = pq

where A = 3000 x 1000

On simplifying the equation , we get

A = 3000 x 1000

So , the left hand side of the equation is equated to the right hand side by the value of ( 3000 x 1000 )

A = 3000000

Therefore , the value of A = 3000000

Hence , the expression is A = 3000000

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someone help please 50 points and have an explanation

Answers

Answer:

i think that the answer is 5°

Define Complementary and Supplementary Angles.

Answers

Answer:

Complementary angles: the angles whose sum is 90° are called complementary angles.

Supplementary angles: the angles whose sum is 180° are called supplementary angles.

Step-by-step explanation:

hope it might help....

8. Mason bought a pair of running shoes for $36.98. If the sales tax is 6.5%, how much
did he pay in total?

Answers

Answer:

$39.38

Step-by-step explanation:

$36.98 * 6.5%= 2.4037

2.4037 + 36.98= 39. 3837

round up

$39.38

Answer:

39.38

Step-by-step explanation:

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