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3 years ago

Without actually calculating the cubs, find the value of ( 27) ³ +(-15) +(+12) ³

2 answers:

5 0

(27)^3+(-15)+(12)^3

= 27×27×27-15+12×12×12

= 19683-15+1728

= 21396 answer........

Sati [7]3 years ago

3 0

(27)³ + (-15)³ + (12)³

Let, x = 27, y = -15, z = 12

Then, x + y + z = 27 - 15 + 12 = 0

We know the algebraic identity, if a + b + c = 0 then a³ + b³ + c³ = 3abc

Thus, (27)³ + (-15)³ + (12)³ = 3×(27)(-15)(12)

= -14580 

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3 years ago

Read 2 more answers

Two trains begin in Milford and end in Pinkerton, which is 300 miles away. Train A leaves Milford at 10:00 a.M. And travels at a

cluponka [151]

Answer:

B. Train B

Step-by-step explanation:

We are told that Milford and Pinkerton is 300 miles away.

Train A leaves Milford at 10:00 am. There are 3 hours between 10:00 am to 1:00 pm. So let us find distance traveled by train A in 3 hours.

$\text{Distance}=\text{Speed*Time}$

$\text{Distance traveled by train A}=90\frac{\text{ miles}}{\text{ hour}}\times 3\text{ hours}$

$\text{Distance traveled by train A}=90\times 3{\text{ miles}$

$\text{Distance traveled by train A}=270{\text{ miles}$

Since train A will cover 270 miles in 3 hours and distance between Milford and Pinkerton is 300 miles, therefore, train A will not arrive Pinkerton before 1:00 pm.

Since there are 5 hours between 8:00 am to 1:00 pm, so let us find distance traveled by train B in 5 hours.

$\text{Distance traveled by train B}=70\frac{\text{ miles}}{\text{ hour}}\times 5\text{ hours}$

$\text{Distance traveled by train B}=70\times 5 \text{ miles}$

$\text{Distance traveled by train B}=350\text{ miles}$

Since train B will cover 350 miles in 5 hours, therefore, train B will arrive Pinkerton before 1:00 pm and option B is the correct choice.

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4 years ago

Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

PtichkaEL [24]

Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)

=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.

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3 years ago

Without actually calculating the cubs, find the value of ( 27) ³ +(-15) +(+12) ³​

Without actually calculating the cubs, find the value of ( 27) ³ +(-15) +(+12) ³