852 > 825 and I don't see any other correct one here, please consider rechecking you copied it down correctly.
-pd - pz = -2z + 59
-pz = -2z + 59 + pd
-pz + 2z = 59 + pd
-z(p - 2) = 59 + pd
-z = 59 + pd over p - 2
z = -59 + pd/p - 2.
Answer:
120 + 3.5x≤ 190
Step-by-step explanation:
Add up all the costs
80+ 10+10+20 + 3.50x where x is the number of cupcakes
Combine like terms
120 + 3.5x
This must be less than or equal to 190
120 + 3.5x≤ 190
Both B and C will give you the correct factorization for this equation.
When you factor a quadratic, you are looking for factors of the last number (-42) that add up to the middle coefficient (1). Below are the factors of -42.
1*-42
-1*42
2*-21
-2*21
3*-14
-3*14
6*-7
-6*7
And since these two are the only ones that add up to 1, we use these in parenthesis, creating the following (x - 6)(x + 7) - which is answer C. You also can switch the order due to the laws of multiplication. If you switch them around you get (x + 7)(x - 6) - which is answer B as well.
