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inysia [295]
3 years ago
6

Please help this is for a grade I don’t know the answer will give brainlest

Mathematics
2 answers:
Nataly [62]3 years ago
8 0

Answer: d

Step-by-step explanation:

Rewrite

8

as

2

3

.

x

3

−

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3Rewrite

8

as

2

3

.

x

3

−

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

zheka24 [161]3 years ago
7 0

Answer:

The answer is d

Step-by-step explanation:

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kondaur [170]

Answer: A. profit of $4500

<u>Step-by-step explanation:</u>

    r(x) = x² + 6x + 10

  - <u>c(x) = x² - 4x + 5</u>

(r - c)(x) =     10x + 5


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3 0
3 years ago
The distance around a triangle is 46 ft the length 12 what is the width
Juliette [100K]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
how much time will it take a car to travel 60 kilometers if the car is traveling at an average speed of 40km/hr?
lbvjy [14]

In the question, we are given with speed of a car and the distance it have to travel.

Given:

  • Speed of the car = 40 km/hr.
  • Distance to travel = 60 km

So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.

This can be easily done by using the Speed, Distance and Time formula which says:

\large{ \boxed{ \bf{Distance = Speed \times Time}}}

So, let's solve by using this formula.

⇛ s = v × t

⇛ 60 km = 40 km/hr × t

⇛ t = 60 km / 40 km/hr

⇛ t = 3/2 hr.

⇛ t = 90 mins or 1 1/2 hours

So, time the car will take to travel 60 km:

\large{ \boxed{ \bf{ \purple{t = 1  \dfrac{1}{2} hr}}}}

And we are done !!

#CarryOnLearning....

<u>━━━━━━━━━━━━━━━━━━━━</u>

7 0
3 years ago
Write an equation of the line that passes through (1, 2) and is parallel to the line
RoseWind [281]

Answer:

5x

Step-by-step explanation:

hope this helps

6 0
3 years ago
Use distributive property to write an expression that is equivalent to 6(u+12)
nirvana33 [79]

Answer:

6u + 72

Step-by-step explanation:

6(u + 12)

Distribute 6 to u and 12

6(u) + 6(12)

6u + 72

6 0
3 years ago
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