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3 years ago

Solve for x. x3 =−125

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Answer:

x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)

Step-by-step explanation:

Solve for x:

x^3 = -125

Taking cube roots gives 5 (-1)^(1/3) times the third roots of unity:

Answer: x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)

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Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

postnew [5]

Answer:

Simplify, x(3) + x(2) + x + 1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/

VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

$A = \frac{1}{2}bh$ (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

$\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)$

We can find the base by solving equation (1) for b:

$b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm$

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

$2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)$

$\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min$

Therefore, the base is decreasing at 2 cm/min.

I hope it helps you!

7 0

2 years ago

Given P(A) = 0.8, P(B) = 0.51 and P(ANB) = 0.468, find the value of

masha68 [24]

Answer:

Step-by-step explanation:

P(BA)=P(B)+P(A)-P(AnB)

= 0.51+0.8-0.468

=1.31-0.468

=0.842

P(BA) = 0.842

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3 years ago

I GIVES BRAINLIEST IF U SOLVE IT

kkurt [141]

Answer:

False

Step-by-step explanation:

The following statement is false so in conclusion it will not be enough for both bird houses

Cleopatra= 12 1/2

Jesse=6-10

20ft will not be enough for both jesse and cleopatra !

Hope this helps

-<em>Tobie The dog <3</em>

5 0

2 years ago

Check my answer please!

Ray Of Light [21]

The answer is C, 4.

you combine like terms and that is the answer you get.

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3 years ago