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My name is Ann [436]
2 years ago
8

Please Help Me I Will Give You The Brain Crown And Extra Points! Pt2

Mathematics
1 answer:
belka [17]2 years ago
6 0
<h3>Answer:  2 seconds</h3>

=========================================================

Explanation:

I'll be using x in place of t

The equation given is y = -4.9x^2 + 19.8x + 58

It is of the form y = ax^2 + bx + c which is the standard form for quadratics.

We have,

  • a = -4.9
  • b = 19.8
  • c = 58

Plug the first two values into the equation below

h = -b/(2a)

h = -19.8/(2*(-4.9))

h = 2.0204081632653

That value is approximate.

Rounding to the nearest whole number gets us roughly h = 2

Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.

-----------------

Extra side notes:

  • To find the maximum height, plug the h value into the original equation. This will yield the value of k.
  • To find the cannonball's flight time, plug in y = 0 and solve for x. Ignore the negative x solution.
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A total of 679 tickets were sold for the school play. they were either adult tickets or student tickets. there were 71 fewer stu
guapka [62]
For example a stands for the number of adult tickets, and s stands for the number of student tickets.

Write a system of equation based on the problem
An equation for "<span>A total of 679 tickets were sold for the school play"
</span>∴ a + s = 679 <em>(first equation)</em>
An equation for "<span>there were 71 fewer student tickets sold than adult tickets"
</span>∴ s = a - 71 <em>(second equation)</em>
<span>
Find the solution of the system
Subtitute s with a - 71 in the first equation to find the value of a
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a + a - 71 = 679
2a - 71 = 679
2a = 679 + 71
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The number of adult tickets sold is 375</span>
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