When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
=> b= ± sqrt(144)= ± 12
So in order that the given equation has double roots, the possible values of b are ± 12.
Answer:
Our juices’ journey to your table starts on the thousands of acres of citrus farms dotting Western North America. The process begins when the fruit is harvested at its sweetest, then sent to our plant to be pressed and bottled. From the plant, our juice is sent to retailers throughout the West, including Ralph’s, Bristol Farms and Pavilions to name a few. This lateral integration gets the freshest, best tasting juices to our customers as quickly as possible, and makes Perricone Farms a true “Farm-Bottle-Table” company. You’ll taste the difference with every sip.
Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble
= 12.3 gm
Velocity of
before collision
= 15.5 cm/s
Velocity of
after collision
= 77.5 cm/s
Marble 2:
Mass of the marble
= 24.6 gm
Velocity of
before collision
= 62 cm/s
Velocity of
after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒ 
⇒
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒
...subtracting both sides 953.25
⇒ 
⇒
...dividing both sides with 24.6
⇒ 
⇒
cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
Answer:
Redskins cost $0.25 and golden roughs cost $0.35.
Step-by-step explanation:
Let r be the cost of a redskin and g the cost of golden roughs. So we have the system of equations:
r + 4g = 1.65
2r + 3g = 1.55
Multiply the first equation by -2:
-2r - 8g = -3.30
Adding this to the second equation:
-5g = -1.75
g = 0.35.
Now substitute this into the first equation:
r + 4*0.35 = 1.65
r = 1.65 - 1.40
r = 0.25.
Answer:
<h3>I know they are not the same name but they have the same question they are the same answer</h3>
Step-by-step explanation:
<h3>#hope it helps you </h3><h3>#happy learning</h3>