Answer: 2/8, 3/8, 4/8, 5/8, 7/8
Step-by-step explanation:
Since they all have a common denominator, we can list them based on their numerator without having to worry about the denominator.
2/8 < 3/8 < 4/8 < 5/8 < 7/8
Answer:
Both are correct.
Step-by-step explanation:
The key understanding here is that you can factor a monomial in many different ways!
To check if any of the factorizations is correct, we can multiply the factors and see if their product is really 12x^712x
7
12, x, start superscript, 7, end superscript.
Hint #22 / 4
\begin{aligned} (\blueD{4}\maroonD{x^3})(\blueD{3}\maroonD{x^4})&=(\blueD{4})(\blueD{3})(\maroonD{x^3})(\maroonD{x^4}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(4x
3
)(3x
4
)
=(4)(3)(x
3
)(x
4
)
=12x
7
So Ibuki is correct!
Hint #33 / 4
\begin{aligned} (\blueD{2}\maroonD{x^6})(\blueD{6}\maroonD{x})&=(\blueD{2})(\blueD{6})(\maroonD{x^6})(\maroonD{x}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(2x
6
)(6x)
=(2)(6)(x
6
)(x)
=12x
7
So Melodie is also correct!
Both Ibuki and Melodie are correct.
Answer:
x=1000
Step-by-step explanation:
log x = 3
log10 ( x) = 3
Raise each side to the power of 10
10^( log10 ( x)) =10 ^3
x = 10 ^3
x = 1000
ANSWER
EXPLANATION
We want to factor
out of
The first term is already having a factor of
The constant term which is the second term is not having a factor of
so we need to use a trick of multiplying and dividing by the same factor to obtain,
We can now factor
out of the right hand side to obtain,
Let us rewrite the right most fraction using the normal division symbol.
We simplify to obtain,
This further gives us,