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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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SEE ATTACHED
fenix001 [56]
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.

A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.

You have been asked to find f(g(x)). You know f(x) = \frac{1+x}{1-x}. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).

f(g(x)) = \frac{1+g(x)}{1-g(x)}
we also know that g(x) = \frac{x}{1-x} so we can say that
f(g(x)) = \frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} } and that is f(g(x)) but the question requires that we simplify it so
\frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} }  =  \frac{ \frac{1-x}{1-x} +  \frac{x}{1-x} }{ \frac{1-x}{1-x} - \frac{x}{1-x} } =  \frac{ \frac{1}{1-x} }{ \frac{1-2x}{1-x} } =  \frac{1}{1-2x}

f(g(x)) = \frac{1}{1-2x}

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.

This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)

[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]

5 0
3 years ago
Does anyone get this? <br> The answers are <br> A - 22.8 <br> B - 25.5 <br> C - 14.1<br> D - 31.2
Rom4ik [11]

Answer:

Step-by-step explanation:

I think your supposed to add all those numbers together

5 0
3 years ago
Read 2 more answers
Help please please please please ASAP
natulia [17]

Answer: 46 yds².

Step-by-step explanation:

Find the area of all surfaces & add them up:

(5 · 3) + (5 · 3) + (1 · 3) + (1 · 3) + (1 · 5) + (1 · 5) = 15 + 15 + 3 + 3 + 5 + 5

= 30 + 6 + 10 = 36 + 10 = 46 square

5 0
3 years ago
Read 2 more answers
Which of the following congruency statements is correct? Yzx = bcd, yzx = dcb, zxy =dcb, yxz = cdb
goldenfox [79]

Answer:c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be
Makovka662 [10]

Answer:

No

Step-by-step explanation:

Given

Quadrilateral A: 2,3,5 and 6

Quadrilateral B: 4,5, 8 and 10

Required

Determine if one is a scale of another

To do that, we have to divide the corresponding lengths to give ratio.

Considering Side of A = 2 and Side of B = 4

Ratio = \frac{B}{A}

Ratio = \frac{4}{2}

Ratio = 2

Considering Side of A = 3 and Side of B = 5

Ratio = \frac{B}{A}

Ratio = \frac{5}{3}

Ratio = 1.67

There's no need to check further, since the two ratios calculated so far do not have the same value;

<em>Hence, one quadrilateral is not a scale of the other</em>

7 0
3 years ago
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