Ask question

Ask question

All categories

professor190 [17]

3 years ago

11

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

2 answers:

sleet_krkn [62]3 years ago

8 0

<span>A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable.
</span>4x + 7 = 3(2x − 5)
<span>4x + 7 = 6x - 15 (distributive property of multiplication)
4x - 6x = -15 - 7 (transitive property)
-2x = -22
x = 11

B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1

Sam's solution is incorrect, this is the correct solution
</span>5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
5x − 2x = 8 + 1
3x = 9
x = 3

Tju [1.3M]3 years ago

3 0

I hope this helps you

You might be interested in

A teacher assigns a journal to be completed. In the journal, a student is supposed to include 32 quotations from a book they rea

kiruha [24]

32➗19= 1.684...

So that would mean that you would need 1-2 quotations per chapter with the minimum of at least 1 per chapter.

You would need 1-2 quotations

Hope this helps! :3

6 0

3 years ago

Subtract 3 — (—3) <br> answer idk

nikklg [1K]

Answer:

6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan

inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

$P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}$

$= \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \ \ \\\\$

$k= 2,3..........10$ For option B:

$P(X=k | X \geq 2 ) = \sum^{10}_{i=2} \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}$

$k= 2,3, 4.........10$

8 0

3 years ago

Factorise the following.

spin [16.1K]

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

3 0

3 years ago

EASY PLZ HELP!<br> Solve for x. (Show your work)<br> 2x + 3 > 5

m_a_m_a [10]

<u><em>Hi there! </em></u>

<u><em>Answer:</em></u>

<u><em>X>1</em></u>

<u><em>*The answer must have a positive sign and greater than symbol.*</em></u>

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

$2x+3-3>5-3$

Then, you subtract by the numbers from left to right.

$5-3=2$

$2x>2$

You can also divide by 2 from both sides of an equation.

$\frac{2x}{2}>\frac{2}{2}$

Finally, you divide by the numbers from left to right.

$2/2=1$

<em><u>Final answer is x>1</u></em>

I hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

8 0

3 years ago

Read 2 more answers