Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is

The height of balloon is defined as
![[\because y=mx+b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20y%3Dmx%2Bb%5D)
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0



Therefore the options 3, 4 and 5 are correct.
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements,
, is given by:
![G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}](https://tex.z-dn.net/?f=G%20%3D%20%5Csqrt%5Bn%5D%7Bn_1%20%5Ctimes%20n_2%20%5Ctimes%20...%20%5Ctimes%20n_n%7D)
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.

Thus:

We find the square of each side, so:


Simplifying both sides by 17:



The value of a is 18.
A similar example is given at brainly.com/question/15010240
<span>y= 2x-4
y= -x+5
so
</span><span>2x-4 = -x+5
2x +x = 5 +4
3x = 9
x =3
y = 2x-4
y =2(3) - 4
y = 6-4
y = 2
answer: (3,2)</span>
I will set it up for you only.
Let a = adult tickets
Let s = student tickets
Here is your system of equations:
a + s = 800
12a + 8s = 7500