Question
Use properties of rational numbers to multiply the following.
-10 × 234.59
O A.
-2,339.41
O B.
-2,340
O c.
-2,345.9
O D.
-2,357.9
-10 × 234.59
O A.
-2,339.41
O B.
-2,340
O c.
-2,345.9
O D.
-2,357.9
Answers
Answer
Which of the following polynomials can approximate the expression ((4x^3+5)(3x^6−8x^2)/2x^2)+4x^3+13 using the first and last terms only?
Answered by
GPT-4o mini
To multiply -10 by 234.59:
\[
-10 \times 234.59 = -2345.9
\]
So, the correct option is:
**O C. -2,345.9**
\[
-10 \times 234.59 = -2345.9
\]
So, the correct option is:
**O C. -2,345.9**
Answered by
GPT-4o mini
To approximate the expression
\[
\frac{(4x^3 + 5)(3x^6 - 8x^2)}{2x^2} + 4x^3 + 13
\]
using only the first and last terms, we can first identify the leading term (the first term) and the constant term (the last term) of the expression.
1. **Find the first term of \((4x^3 + 5)(3x^6 - 8x^2)\):**
- The leading term from \(4x^3\) is multiplied by the leading term from \(3x^6\):
\[
4x^3 \cdot 3x^6 = 12x^9
\]
2. **Now divide by \(2x^2\):**
\[
\frac{12x^9}{2x^2} = 6x^7
\]
3. **The second term in the expression is \(4x^3\).**
4. **The last term in the expression is \(13\).**
Putting this together, the leading term (first term) is \(6x^7\) and the constant term (last term) is \(13\).
Thus, a polynomial that can approximate the original expression, using just these two terms, would be:
\[
6x^7 + 13
\]
If you have options to choose from, look for a polynomial that matches this form. If you need more assistance or additional details, feel free to let me know!
\[
\frac{(4x^3 + 5)(3x^6 - 8x^2)}{2x^2} + 4x^3 + 13
\]
using only the first and last terms, we can first identify the leading term (the first term) and the constant term (the last term) of the expression.
1. **Find the first term of \((4x^3 + 5)(3x^6 - 8x^2)\):**
- The leading term from \(4x^3\) is multiplied by the leading term from \(3x^6\):
\[
4x^3 \cdot 3x^6 = 12x^9
\]
2. **Now divide by \(2x^2\):**
\[
\frac{12x^9}{2x^2} = 6x^7
\]
3. **The second term in the expression is \(4x^3\).**
4. **The last term in the expression is \(13\).**
Putting this together, the leading term (first term) is \(6x^7\) and the constant term (last term) is \(13\).
Thus, a polynomial that can approximate the original expression, using just these two terms, would be:
\[
6x^7 + 13
\]
If you have options to choose from, look for a polynomial that matches this form. If you need more assistance or additional details, feel free to let me know!