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
Answer:
(4x3)+(5x3)=12+15=27
Step-by-step explanation:
You can multiple both by any number as long as it adds to nine. 4 plus 5=9.
You can also do 3+6=9, or 8+1=9
Here a "success" is "obtaining a 7 or a 5." Assuming that the 10-sided die is marked {1, 2, 3, ... , 9, 10}, there are 2 ways in which to get a "success" out of 10 possible outcomes. Thus, P(5 or 7) is 2/10, or 1/5, or 02.
Volume of a cylinder is h x r^2 x pi
You have the volume and radius of each one, so taking 188.4=(2)^2 x 3.14 x h1, you can solve this equation for the height h1. Likewise, for the other graduated cylinder you take 314=2^2 x 3.14 x h2, and then solve for h2.
To get the difference in heights, just take h2-h1 after solving the equations for h2 and h1
Answer:95/2
Step-by-step explanation: you covert the decimal number to a fraction 475/10 then divide both by 5
95/2
