So for this function we will be using the quadratic formula, which is , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:
In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).
Answer:
Alex can do the job in 60 days alone.
Step-by-step explanation:
Alex and Brandon working together, they can finish the job of cleaning the school in 15 hours. Brandon alone in 20 hours can finish the job.
So, Brandon can complete part of the job in one hour.
Let, Alex alone can finish the same job in x hours.
So, Alex can complete part of the job in one hour.
So, working together they do part of the whole job in one hour.
Hence, from the conditions given we can write
⇒ 15x + 300 = 20x
⇒ 5x = 300
⇒ x = 60 days.
Therefore, Alex can do the job in 60 days alone. (Answer)
The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if water filled with water in the 4 diameter hemispherical tank and weighs 62.4 pounds per cubic foot.
Step-by-step explanation:
The given is,
A hemispherical tank is filled with water and has a diameter of 4 feet.
Water weighs 62.4 pounds per cubic foot
Step:1
Formula to weight of water is,
= Volume of water tank × weight of water per foot......(1)
Step:2
Formula to find volume of the tank is,
...................................(2)
From given, r = Radius of Hemisphere
r = 2 foot
From equation (2),
= ×
×
= 16.755 cubic foot
Step:3
From equation (1),
= 16.775 × 62.4 (∵ Water weighs 62.4 pounds per cubic foot )
= 1045.52 pounds ( ∵ ×
=
)
≅ 1046 pounds
Weight of water in tank = 1046 pounds
Result:
The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if a hemispherical tank is filled with water and it has 4 feet diameter and water weighs 62.4 pounds per cubic foot.