Answer :
Let's simplify the expression step-by-step:
We have the expression: [tex]\(-9.2(8x - 4) + 0.7(2 + 6.3x)\)[/tex].
1. Distribute in the first part:
Distribute [tex]\(-9.2\)[/tex] into [tex]\((8x - 4)\)[/tex]:
[tex]\(-9.2 \times 8x = -73.6x\)[/tex]
[tex]\(-9.2 \times -4 = 36.8\)[/tex]
So, the expression becomes: [tex]\(-73.6x + 36.8\)[/tex].
2. Distribute in the second part:
Distribute [tex]\(0.7\)[/tex] into [tex]\((2 + 6.3x)\)[/tex]:
[tex]\(0.7 \times 2 = 1.4\)[/tex]
[tex]\(0.7 \times 6.3x = 4.41x\)[/tex]
So, the expression becomes: [tex]\(1.4 + 4.41x\)[/tex].
3. Combine like terms:
Combine both parts of the expression:
The x terms: [tex]\(-73.6x + 4.41x = -69.19x\)[/tex]
The constant terms: [tex]\(36.8 + 1.4 = 38.2\)[/tex]
4. Final Expression:
Combine the simplified terms to get the final expression:
[tex]\( -69.19x + 38.2 \)[/tex].
Therefore, the simplified form of the given expression is [tex]\(-69.19x + 38.2\)[/tex]. This matches the choice: [tex]\(-69.19x + 38.2\)[/tex].
We have the expression: [tex]\(-9.2(8x - 4) + 0.7(2 + 6.3x)\)[/tex].
1. Distribute in the first part:
Distribute [tex]\(-9.2\)[/tex] into [tex]\((8x - 4)\)[/tex]:
[tex]\(-9.2 \times 8x = -73.6x\)[/tex]
[tex]\(-9.2 \times -4 = 36.8\)[/tex]
So, the expression becomes: [tex]\(-73.6x + 36.8\)[/tex].
2. Distribute in the second part:
Distribute [tex]\(0.7\)[/tex] into [tex]\((2 + 6.3x)\)[/tex]:
[tex]\(0.7 \times 2 = 1.4\)[/tex]
[tex]\(0.7 \times 6.3x = 4.41x\)[/tex]
So, the expression becomes: [tex]\(1.4 + 4.41x\)[/tex].
3. Combine like terms:
Combine both parts of the expression:
The x terms: [tex]\(-73.6x + 4.41x = -69.19x\)[/tex]
The constant terms: [tex]\(36.8 + 1.4 = 38.2\)[/tex]
4. Final Expression:
Combine the simplified terms to get the final expression:
[tex]\( -69.19x + 38.2 \)[/tex].
Therefore, the simplified form of the given expression is [tex]\(-69.19x + 38.2\)[/tex]. This matches the choice: [tex]\(-69.19x + 38.2\)[/tex].