hi,I do not think i'm doing this problem correctly, I know I have the steps I just think i'm solveing it wrong.
1/2 x p + 1/6 = 1 1/2
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is the answer 2.6
1/2 x p + 1/6 = 1 1/2
1/2p + 1/6 = 1 1/2
1/2p = 1 1/2 - 1/6
1/2p = 1 3/6 - 1/6
1/2p = 1 2/6
p = (1 2/6)/ (1/2)
p = (1 2/6) * (2/1)
p = 2 4/6 = 2 2/3
You got the answer pretty much right but a more exact answer would be 8/3 or 2 2/3. Because in decimal form it is actually 2.66666667
x^2-x-6 x+1
------- * -----
4x^3 x^2+5+6
To solve the equation 1/2 * p + 1/6 = 1 1/2, you can follow these steps:
1. Start by subtracting 1/6 from both sides of the equation to isolate the term with p:
1/2 * p = 1 1/2 - 1/6
2. Simplify the right side of the equation:
1/2 * p = 3/2 - 1/6
3. Find a common denominator for 2 and 6, which is 6. Convert both fractions to have a denominator of 6:
1/2 * p = 9/6 - 1/6
4. Combine the fractions on the right side of the equation:
1/2 * p = 8/6
5. Simplify the right side of the equation by dividing the numerator and denominator by their greatest common divisor, which is 2:
1/2 * p = 4/3
6. To solve for p, multiply both sides of the equation by the reciprocal of 1/2, which is 2:
p = 2 * (4/3)
7. Multiply the numerators and denominators:
p = 8/3
Now let's simplify the answer. The fraction 8/3 can also be expressed as a mixed number (a whole number with a fraction).
8 divided by 3 equals 2 with a remainder of 2. So the mixed number is 2 2/3.
Therefore, the correct answer is p = 2 2/3, not 2.6.