Answer:
The discriminant is:
b
2
−
4
a
c
a
=
1
b
=
12
c
=
36
Substitute these values into the discriminant and you should get two answers (real roots):
12
2
−
4
(
1
)
(
36
)
=
0
If the discriminant is 0 there is 1 real root, if it is > 0 there are 2 and otherwise 0 real roots.
Step-by-step explanation:
Im pretty sure this is it, hope I could help
-8 - 5n = 64 + 3n
+5n +5n add 5n to both sides, 5n's cancel out on the left.
______________
-8 = 64 + 8n
-64 -64 subtract 64 on both sides, 64's cancel out on the right.
______________
-72 = 8n
___ ___ divide 8 on both sides, 8's cancel out from the right.
8 8
n= -9, final answer
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
9.5 +27b =4000
a=80 shares of stock A
b=120 shares of stock B
Let a be the number of shares of stock B
B the number of shares of stock B
A+B=200
<em>Subtract</em> 2/3x on both sides.
Combine 5/3x and -2/3x to get x.
Subtract 4 from both sides. <em>Any value</em> subtracted from zero results in its negative value.
