the solutions to a general quadratic equation is
X=-b±√b²-4ac/2a ,, When ax²+bx+c=0
the discriminant is the expression under the radical b²−4ac
Part A:
discriminant is (-16)² - 4(9)(60) = -1904
there are two complex solutions
Part B:
4x² + 8x − 5 = 0
4x² + 10x -2x - 5=0
2x ( 2x + 5) - 1(2 x + 5) =0
(2x + 5)(2x-1) = 0
/ \
/ \
2x+5 = 0 2x-1 =0
x = -5/2 x = 1/2
Let f and s represent the weights of the first and second objects, respectively.
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first
In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0
The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.
C. Is the correct answer so you are right!
Explanation: Move the constant to the right-hand side and change its sign (10x≤ 238-18 )
Then Subtract the numbers ( 10x ≤220)
Then Divide both sides of the inequality by 10 ( x ≤22)
Really hope this helped:)
Answer:
551
Step-by-step explanation:
6612 divided by 12 ( number of months) =551