4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
<span>2 2/3 + 4/5
= 8/3 + 4/5
= 40/15 + 12/15
= 52/15
</span>
Answer:
430p
Step-by-step explanation:
For this, we'll find the least common multiple for 15 and 18.
=> The least common multiple for 15 and 18 is 90
<u><em>Plastic Knives:</em></u>
Jace will buy 90 knives.
=> Packets = 90/18 = 5 Packets
Money for 5 Packets = 5 * 45
=> 225p
<u><em>Plastic Forks:</em></u>
Jace will buy 90 forks also.
=> Packets = 90/15 = 6 Packets
Money fro 6 packets = 6 * 41
=> 205p
<u><em>Least Amount of Money Jace will spend</em></u> = 225p+205p
=> 430p
Answer:
Probability (bid accepted) = 0.48
Step-by-step explanation:
Probability density is given byF(y)= 1/(b-a)
a=9500
b= 14700
F(y)= 1/(14700-9500) =1/5200=0.00019
Probability (bid accepted)= (12000-9500)÷1/5200
P( bid accepted) = 2500×0.00019=0.475 approximately 0.48
