Answer:
x = 11.61 to the nearest hundredth.
Step-by-step explanation:
√(2x - 2) = x - 7
Square both sides:
2x - 2 = (x - 7)^2
2x - 2 = x^2 - 14x + 49
x^2 - 16x + 51 = 0
using the quadratic formula we get x = 4.39 , 11.61.
With radical equations we can get extraneous roots so we check these values:
X = 4.39 :
√(2(4.39) - 2) = 2.61
4.39 - 7 = -2.61 so 4.39 is NOT a root.
x = 11.61
√(2(11.61) - 2) = 4.61
11.61 - 7 = 4.61 so this is a root.
Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Product of 2x^2 – 3xy + y^2 and 2x – 4y
Product means multiplication
(2x^2 – 3xy + y^2) (2x – 4y)
Open the bracket
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Simplify the like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The answer is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
The answer is 10 pounds.
I set up a proportion of 10 / 0.01 = 10000 / x.
Cross-multiply to get 10x = 10000(0.01). Simplify to get 10x = 100. Divide by 10 to isolate the variable.
x = 10. 10000 samples would weigh 10 pounds.
The interest would be $134.50