Answer:
There are no real solutions
Step-by-step explanation:
Recall that for a quadratic equation in the form:
ax² + bx + c = 0
using the quadratic formula, that the discriminant of the formula is given by the following expression
Discriminant = b² - 4ac
If b² - 4ac < 0 ----> No real roots
If b² - 4ac > 0 ----> Two real roots
If b² - 4ac = 0 ----> One real roots
In our case, a = 3, b = -2 and c = 4
b² - 4ac = (-2)² - 4(3)(3) = 4 - 36 = -32 (which is <0)
Hence there are no real roots.
Answer:
d) 
Go to station 10
Step-by-step explanation:
Expand:
Subtract 41 from both sides:
Divide both sides by -1:
Answer: x = 9
Remember: cross-multiply (product of the means equals the product of the extremes) to solve this proportion. It forms a 'cross'-- hence its name.
4 8 4 and 2 are the extremes
------ = ------ 8 and x - 8 are the means
x - 8 2
(4)(2) = 8(x - 8) Simplify
8 = 8(x - 8) Distributive Property
8 = 8x - 64 Add 64 to both sides
72 = 8x Divide by 8 for both sides
9 = x Answer!
x = 9 Answer!
7 1/3 - 3 2/3 = 3/23
7 1/3 = 22/3
3 2/3 = 11/3
22/3 - 11/3 = 11/3 = 3 2/3
