Justify each step in solving the equation 6x = 3(x + 4) by writing a reason for each statement.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

6x = 3(x + 4) [Given]

6x = 3x + 12 [Distributive]

3x = 12 [Subtraction Property of Equality]

x = 4 [Division Property of Equality]

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For each question, factor completely and choose

nikklg [1K]

Answer:

question no:3

Step-by-step explanation:

here

= x^2 + 5x - 300

= x^2 +(20-15)x -300

= x^2 + 20x - 15x - 300

= x(x+20) -15(x+20)

= (x+20) (x - 15)

7 0

2 years ago

Which choice is equivalent to the quotient below? sqrt 7/8* sqrt7/187/16/121/23/47/12

mario62 [17]

We can apply the following properties of radicals:

$\begin{gathered} \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\Rightarrow\text{ Product property} \\ \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\Rightarrow\text{ Quotient property} \end{gathered}$

Then, we have:

$\begin{gathered} \text{ Apply the product property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7}{8}\cdot\frac{7}{18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7\cdot7}{8\cdot18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{49}{144}} \\ \text{ Apply the quotient property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{\sqrt[]{49}}{\sqrt[]{144}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{7}{12} \end{gathered}$

Therefore, the choice that is equivalent to the given product is: