Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Evaluating a Variable Expression

Evaluate the expression [tex]-0.4(3x - 2) + \frac{2x + 4}{3}[/tex] for [tex]x = 4[/tex].

[tex]\(\boxed{\phantom{}} \)[/tex]


Sagot :

Sure, let's evaluate the expression [tex]\(-0.4(3x - 2) + \frac{2x + 4}{3}\)[/tex] for [tex]\(x = 4\)[/tex]. Follow these steps to find the result:

Step 1: Substitute [tex]\(x = 4\)[/tex] into the expression.

[tex]\[ -0.4(3(4) - 2) + \frac{2(4) + 4}{3} \][/tex]

Step 2: Simplify the terms inside the parentheses and fraction.

First, evaluate the term inside the first set of parentheses:

[tex]\[ 3(4) - 2 = 12 - 2 = 10 \][/tex]

So, the expression becomes:

[tex]\[ -0.4(10) + \frac{2(4) + 4}{3} \][/tex]

Next, evaluate the term inside the fraction:

[tex]\[ 2(4) + 4 = 8 + 4 = 12 \][/tex]

So, the expression now looks like:

[tex]\[ -0.4(10) + \frac{12}{3} \][/tex]

Step 3: Evaluate the simplified terms.

First, calculate [tex]\(-0.4 \times 10\)[/tex]:

[tex]\[ -0.4 \times 10 = -4.0 \][/tex]

Next, calculate [tex]\(\frac{12}{3}\)[/tex]:

[tex]\[ \frac{12}{3} = 4 \][/tex]

Step 4: Combine the results from Step 3.

[tex]\[ -4.0 + 4 \][/tex]

Step 5: Add the two values together.

[tex]\[ -4.0 + 4 = 0.0 \][/tex]

Therefore, after evaluating the expression [tex]\(-0.4(3x - 2) + \frac{2x + 4}{3}\)[/tex] for [tex]\(x = 4\)[/tex], we get the result of [tex]\(0.0\)[/tex].

To summarize, the individual parts were:

[tex]\[ -0.4(3x - 2) = -4.0 \][/tex]

[tex]\[ \frac{2x + 4}{3} = 4.0 \][/tex]

And together they sum to [tex]\(0.0\)[/tex].
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.