on one of last week homeworks i got this one wrong can someone explain to me what is the correct format.

The demand supply equations for a certain item are given by:
D= -5p+40
S=-p^2+30p-8

The correct answer was:

$1.43

how do you get to this answer because i've tried it and it doesn't come out.

i know that is Supply = demand then bring everything over to the right to be : 0 =p^2-35p+48 well that's how i started to do it but when i got to the answer i had it incorrect so can someone show me the correct way. Thank you ...any help is appreciative.

your quadratic equation is correct, but when I solved it by the formula i got
p=1.3215, you were close.

show me how you are using the formula, I can't tell your mistake otherwise.

Reiny,
how did you get p=1.3215 if the correct answer is $1.43 that is what the teacher gave us.

why don't you try to substitude x = 1.43 into the equation x^2 + 35x + 48 = 0

It does not work!
My answer works.

Two possibilities:
1. you copied the equations incorrectly
2. your teacher gave you the wrong answer.

To find the correct answer, we need to solve the quadratic equation p^2 - 35p + 48 = 0. It seems like there might have been a mistake in your previous calculations or in copying the equations. Let's solve the equation step by step:

1. Start with the equation p^2 - 35p + 48 = 0.

2. To solve this equation, we need to factor it or use the quadratic formula. Let's use the quadratic formula:

The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 1, b = -35, and c = 48. Substituting these values into the quadratic formula, we get:

p = (-(-35) ± √((-35)^2 - 4(1)(48))) / (2(1))

Simplifying further:

p = (35 ± √(1225 - 192)) / 2
p = (35 ± √(1033)) / 2

3. Now, let's calculate the values of p using these two possibilities:

For p = (35 + √(1033)) / 2 ≈ 18.66
For p = (35 - √(1033)) / 2 ≈ 16.34

These are the two possible solutions for p. However, none of them match the answer given as $1.43.

Therefore, it seems that there might be an error in the given answer or in the values provided in the question. I would recommend double-checking the given equations or getting clarification from your teacher regarding the correct answer.