Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To determine which expression is equivalent to [tex]\(\frac{1}{2} x + (-7) - 2 \frac{1}{4} x - (-2)\)[/tex], we will simplify the given expression step-by-step.
1. Start with the given expression:
[tex]\[ \frac{1}{2} x + (-7) - 2 \cdot \frac{1}{4} x - (-2) \][/tex]
2. Simplify each part of the expression individually. First, simplify the multiplication:
[tex]\[ 2 \cdot \frac{1}{4} x = \frac{1}{2} x \][/tex]
Therefore, we substitute back into the expression:
[tex]\[ \frac{1}{2} x + (-7) - \frac{1}{2} x - (-2) \][/tex]
3. Simplify the subtraction of the fractions involving [tex]\(x\)[/tex]. Subtract [tex]\(\frac{1}{2} x\)[/tex] from [tex]\(\frac{1}{2} x\)[/tex]:
[tex]\[ \frac{1}{2} x - \frac{1}{2} x = 0 \][/tex]
Thus, the expression is simplified to:
[tex]\[ -7 - (-2) \][/tex]
4. Simplify the remaining constants:
[tex]\[ -7 - (-2) = -7 + 2 = -5 \][/tex]
Therefore, the equivalent simplified expression is:
[tex]\[ -5 \][/tex]
Now, among the given multiple choices:
A) [tex]\(-1 \frac{3}{4} x - 5\)[/tex] \\
B) [tex]\(1 \frac{3}{4} x - 9\)[/tex] \\
C) [tex]\(3 \frac{3}{4} x - 9\)[/tex] \\
D) [tex]\(3 \frac{3}{4} x - 7\)[/tex]
The correct expression equivalent to [tex]\(\frac{1}{2} x + (-7) - 2 \frac{1}{4} x - (-2)\)[/tex] is indeed:
[tex]\[ -5 \][/tex]
Thus, the index of the correct option corresponding to [tex]\(-1 \frac{3}{4} x - 5\)[/tex] (representing [tex]\(\frac{-7x}{4} - 5\)[/tex]), which simplifies to [tex]\(-5\)[/tex], is option A.
1. Start with the given expression:
[tex]\[ \frac{1}{2} x + (-7) - 2 \cdot \frac{1}{4} x - (-2) \][/tex]
2. Simplify each part of the expression individually. First, simplify the multiplication:
[tex]\[ 2 \cdot \frac{1}{4} x = \frac{1}{2} x \][/tex]
Therefore, we substitute back into the expression:
[tex]\[ \frac{1}{2} x + (-7) - \frac{1}{2} x - (-2) \][/tex]
3. Simplify the subtraction of the fractions involving [tex]\(x\)[/tex]. Subtract [tex]\(\frac{1}{2} x\)[/tex] from [tex]\(\frac{1}{2} x\)[/tex]:
[tex]\[ \frac{1}{2} x - \frac{1}{2} x = 0 \][/tex]
Thus, the expression is simplified to:
[tex]\[ -7 - (-2) \][/tex]
4. Simplify the remaining constants:
[tex]\[ -7 - (-2) = -7 + 2 = -5 \][/tex]
Therefore, the equivalent simplified expression is:
[tex]\[ -5 \][/tex]
Now, among the given multiple choices:
A) [tex]\(-1 \frac{3}{4} x - 5\)[/tex] \\
B) [tex]\(1 \frac{3}{4} x - 9\)[/tex] \\
C) [tex]\(3 \frac{3}{4} x - 9\)[/tex] \\
D) [tex]\(3 \frac{3}{4} x - 7\)[/tex]
The correct expression equivalent to [tex]\(\frac{1}{2} x + (-7) - 2 \frac{1}{4} x - (-2)\)[/tex] is indeed:
[tex]\[ -5 \][/tex]
Thus, the index of the correct option corresponding to [tex]\(-1 \frac{3}{4} x - 5\)[/tex] (representing [tex]\(\frac{-7x}{4} - 5\)[/tex]), which simplifies to [tex]\(-5\)[/tex], is option A.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.