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irina1246 [14]
3 years ago
6

The container that holds the water for the football team is 1/6 full. After pouring in 14 gallons of water, it is 3/4 full. How

many gallons can the container hold?
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

We solve the equation (1/6)x + 14 = (3/4)x, where x is the number of gallons;

We have 2x/12 + 168/12 = 9x/12;

2x + 168 = 9x;

168 = 7x;

x = 168 ÷ 7;

x = 24 gallons;


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A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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