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inysia [295]
2 years ago
6

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

Mathematics
2 answers:
Nataly [62]2 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]2 years ago
7 0

Answer:

The answer is d

Step-by-step explanation:

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What is the sum of an even number plus an odd number?\
Grace [21]

Answer:

both

Step-by-step explanation:

The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.

7 0
3 years ago
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garik1379 [7]
The answer is C
I did this test yesterday
8 0
2 years ago
Hello! Can someone please help me with these 2 questions! thank you so much! (i’ll give brainlist)
ra1l [238]

Answer:

1) 4    2)1/5   X=10

Step-by-step explanation:

Small to large is a fraction

Large to small is a whole number

3 0
2 years ago
Is it possible for a system of linear equations to have exactly one solution?
Elanso [62]
No, it's not possible
8 0
3 years ago
Read 2 more answers
Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0
3 years ago
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