1. Line 3 is the first error. In order to get rid of the 25, you add it to both sides, not subtract. So, your answer is B.
2. Line 1 because it says in the question "4
less than a number" and the equation adds 4, instead of subtracting. Your answer is A.
3. Line 4. To get rid of the 6 in front of 6x, you have to divide by it, but instead they multiply. So, your answer is C.
4. To solve this, you will use the distributive property first:
Turns into:
Get rid of the 12:
Divide by 4:
Your answer is B.
5. You have to set it up:
Just solve for x:
Multiply both sides by 3 to isolate x:
Your answer is B.
Hope this helps, if any step doesn't make sense, feel free to tell me!
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
Answer:
A. -6r + 6
Mathpapa is a great app for algebra questions btw. Its helped me a lot