Answer:
100
Step-by-step explanation:
Answer:
x = 8, -4
Step-by-step explanation:
2x-4-6=6; therefore, x = 8
2x-4=-12; therefore, x = -4
Divide 4 by 12, which equals approximately 0.33333, then multiply that to 180, which gives us 60. So she sold 180 ears of corn for $60.
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
