Answer:
y = 41
x = 64
Step-by-step explanation:
Answer:
Step-by-step explanation:
To use the quadratic formula, we must write the quadratic in standard form, viz:
2x^2 - 4x + 7 = 0
Start by calculating the discriminant. That's b^2 - 4(a)(c). Here,
a = 2, b = -4 and c = 7, and so the discriminant for this particular problem is
(-4)^2 - 4(2)(7), or 16 - 56, or 40.
Recall that a positive discriminant indicates two real, unequal roots.
Now we write out the whole quadratic formula, with the appropriate constants inserted (see above):
-(-4) ± √40 4 ± (√4)(√10) 4 ± 2√10
x = --------------------- = ---------------------- = ---------------
2(2) 4 4
2 ± √10
which reduces to x = --------------
2
One solution, x can only equal one thing.
$29.99 is the final price.
"y" is the original price.
Subtract the savings from the original price to get the final price of $29.99.
70% = 70/100 = .70
y - (y x .70) = 29.99
y - .7y = 29.99
.3y = 29.99
.3y/.3 = 29.99/.3
y = 99.96667
y = $99.97 (rounded)