Answer:
Step-by-step explanation:
Let the initial price be x
<u>Then the reduced price is </u>
<u>If 5 mugs cost $28.20, we have equation:</u>
- (x - 1.75)*5 = 28.20
- x - 1.75 = 28.20/5
- x - 1.75 = 5.64
- x = 1.75 + 5.64
- x = 7.39
Initial price for 1 mug was $7.39
Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0
Here, a = 1, b = 3 and c = -4.
The formula for the discriminant is b^2 - 4(a)(c).
Substituting the given values of a, b and c, we get:
(3)^2 - 4(1)(-4)
Evaluating this, we get 9 + 16 = 25.
The discriminant is 25.
-3 plus or minus √25
Taking this further, x = ------------------------------------
2
-3 plus or minus 5
or: x = -------------------------------- => {-4, 1} (solutions)
2
