<span>1. </span><span>Original ratio of the bike and
scooter is equals to :
=> 3 : 4, where 3 is the bike and 4 is the scooter
=> 48 bikes
=> original order = 64 scooter
=> 64 / 4 = 16
however, bike is more popular than scooter, so they changed it into new ratio:
=> 5 : 2 , where 5 is equals to bikes and 2 is equals to scooter.
=> 5 x 16 = 80 bikes
=> 2 x 16 = 32 scooter.</span>
None of your options, not via complete the square nor quadratic the formula.
Solve for x over the real numbers:
x^2 + 8 x + 9 = 0
x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2
sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2
(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)
(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:
Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________
Solve for x:
x^2 + 8 x + 9 = 0
Subtract 9 from both sides:
x^2 + 8 x = -9
Add 16 to both sides:
x^2 + 8 x + 16 = 7
Write the left hand side as a square:
(x + 4)^2 = 7
Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)
Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)
Subtract 4 from both sides:
Answer: x = sqrt(7) - 4 or x = -4 - sqrt(7)
Answer:
4 lb
Step-by-step explanation:
10+14+40=64 oz = 4lb
Since
it follows that
is a root of multiplicity 2.
Answer:
Latest time for start hiking = 4:57 PM
Step-by-step explanation:
Given:
Time of sunset = 9:26 P.M
Time taken for hiking = 3 hours and 3 minutes (03:03)
Time taken for set up = 1 hour and 26 minutes (1:26)
Find:
Latest time for start hiking
Computation:
Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking
Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking
Latest time for start hiking = 8:00 PM - 03:03
Latest time for start hiking = 7:60 - 03:03
Latest time for start hiking = 4:57 PM