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3 years ago

Expand the expression log 3x^4

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

log 3x^4 = 4log3x = 4log3 + 4logx

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The greatest common factor (GCF) of x^3, x^7, x^9 is ? Please help

solong [7]

Answer:

$x^3$

Step-by-step explanation:

Let the greatest common factor of $a,b,c$ such that $a,b,c \in\mathbb{Z}$ and they are not all equal to zero, $d$ is the common divisor of $a$ and $b$ . Therefore, $d \mid a$ and $d \mid b$

You can write

$D(a) = \{d \in\mathbb{Z} : d \mid a\}$

$D(b) = \{d \in\mathbb{Z} : d \mid b\}$

The greatest common factor of $a,b$ is given as

$D(a,b) = \{d \in\mathbb{Z} : d \mid a \text{ and } d \mid b\}$

and

$D(a, b) = D(a) \cap D(b)$

This happens because $D(a,b)$ is upper bounded because if $a\neq 0$ then $d \leq |a|$

for all $d\in D(a, b)$ . Therefore, the set $D(a, b)$ has the greatest elements.

Taking $x^3, x^7, x^9$ such that $x>0$

You can note that $x^7 = x^3 \cdot x^4$ and $x^9 = x^3 \cdot x^6 = x^3 \cdot x^3 \cdot x^3$

Therefore, the greatest common factor is $x^3$

Note: $x^3 \cap x^7 \cap x^9 = x^3$

6 0

3 years ago

Can someone please help?

bonufazy [111]

Answer:

Step-by-step explanation:

8b-4b+8-3=4b+5

4b=-5

b=-5/4=1 1/4

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It is:

B.Divide the area of the triangle by the base and multiply the result by 2.

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Eduardwww [97]

This all completely depends on the variable

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Use the drop-down menu to complete each statement. The amount of money you earn by working is your . The percentage of people ac

Galina-37 [17]

The correct answers are:

- Wage/salary;

- Active job seekers;

The amount of money you earn by working is your wage or salary. The difference being that the wage represents the money you get paid on hourly, weekly, or monthly basis, while the salary is what you earn in year. The wages/salaries vary a lot, some being very high, some being modest, some very high, depending on the type of job, type of economy, as well as the qualifications of the worker.

The percentage of people that are actively looking for job is called active job seekers. The active job seekers can be people that are unemployed, but also people that re employed but want to work something or somewhere else. While some people struggle to find jobs and would accept almost anything, other people want to constantly progress, thus they are not satisfying with a job where they do not progress, so they seek for new challenges and opportunities.

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3 years ago

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