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Maru [420]
3 years ago
9

A ball is thrown straight up from the top of a building 124 ft tall with an initial velocity of 64 ft per second. The height s(t

) (in feet) of the ball from the ground, at time t (in seconds), is given by s(t) = 124 + 64t − 16t2. Find the maximum height attained by the ball.
Mathematics
1 answer:
algol133 years ago
6 0

Answer:

246 ft is the maximum height

Step-by-step explanation:

The height h given above is a quadratic function. The graph of h as a function of time t gives a parabolic shape and the maximum height h occur at the vertex of the parabola. For a quadratic function of the form h = a t² + bt + c, the vertex is located at t = - b / 2a. Hence for h given above the vertex in the question s(t) = 124 + 64t − 16t², is at t

t = -64/2(-16) = 64/32 = 2 seconds

Thus, 2 seconds after the object was thrown, it reaches its highest point (maximum value of h) which is given by

h = -16(2)² + 64 (2) + 124 = 246eet

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3 years ago
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3 years ago
1.Simplify the following Expression<br> a. 5y^2+ 3y – 13 + 6x – 3y + 6y^2
insens350 [35]

Simplified expression is 11y² + 6x - 13

Step-by-step explanation:

  • Step 1: Simplify 5y² + 3y - 13 + 6x - 3y + 6y²

5y² + 3y - 13 + 6x - 3y + 6y² = 11y² + 6x - 13

6 0
3 years ago
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
A survey determined that 7/18 of the seventh grade students at Mills Middle School preferred round chocolate candies to hard can
andre [41]

Answer:

The correct answer is C) 5/18

Step-by-step explanation:

In order to find this answer, you need to take the fraction that answered it on the first try and subtract the number that changed their mind.

7/18 - 1/9

In order to complete this operation, you need to give them common denominators.

7/18 - 2/18 = 5/18


8 0
3 years ago
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