<span>x2 – 4x – 12 A) (x – 6)(x + 2)
x2 + 4x – 12 B) Prime
x2 – x – 12 C) (x – 4)(x + 3)
x2 – 7x – 12 D) (x – 2)(x + 6) i think this is the awnser:)</span>
The cost of children’s ticket is $ 5
<h3><u>Solution:</u></h3>
Let "c" be the cost of one children ticket
Let "a" be the cost of one adult ticket
Given that adult ticket to a museum costs 3$ more than a children’s ticket
<em>Cost of one adult ticket = 3 + cost of one children ticket</em>
a = 3 + c ------ eqn 1
<em><u>Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100</u></em>
200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100
![200 \times a + 100 \times c = 2100](https://tex.z-dn.net/?f=200%20%5Ctimes%20a%20%2B%20100%20%5Ctimes%20c%20%3D%202100)
200a + 100c = 2100 ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>
Substitute eqn 1 in eqn 2
200(3 + c) + 100c = 2100
600 + 200c + 100c = 2100
600 + 300c = 2100
300c = 1500
<h3>c = 5</h3>
Thus the cost of children’s ticket is $ 5
Answer:
The Exponential function is
![y=4^x](https://tex.z-dn.net/?f=y%3D4%5Ex)
And the polynomial function is
![y=7 x^2 +4 x -2](https://tex.z-dn.net/?f=y%3D7%20x%5E2%20%2B4%20x%20-2)
And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as
![4^x> 7 x^2 +4 x -2](https://tex.z-dn.net/?f=4%5Ex%3E%207%20x%5E2%20%2B4%20x%20-2)
1. When , x= -1
LHS
![4^{-1}=\frac{1}{4}=0.25](https://tex.z-dn.net/?f=4%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B4%7D%3D0.25)
RHS
![=7*(-1)^2 +4 *(-1)-2\\\\=7-4-2=1](https://tex.z-dn.net/?f=%3D7%2A%28-1%29%5E2%20%2B4%20%2A%28-1%29-2%5C%5C%5C%5C%3D7-4-2%3D1)
2. When , x=0
L HS
![4^0=1](https://tex.z-dn.net/?f=4%5E0%3D1)
RHS
![7*0+4*0-2= -2](https://tex.z-dn.net/?f=7%2A0%2B4%2A0-2%3D%20-2)
3. When ,x= 0.5
L HS
![4^{0.5}=2](https://tex.z-dn.net/?f=4%5E%7B0.5%7D%3D2)
RHS
![=7*0.25 +4*0.5 -2\\\\= 1.75+2-2\\\\=1.75](https://tex.z-dn.net/?f=%3D7%2A0.25%20%2B4%2A0.5%20-2%5C%5C%5C%5C%3D%201.75%2B2-2%5C%5C%5C%5C%3D1.75)
4. When , x=2
LHS
![4^{2}=16](https://tex.z-dn.net/?f=4%5E%7B2%7D%3D16)
RHS
![=7*4^2+4*4-2\\\\=112+16-2\\\\=126](https://tex.z-dn.net/?f=%3D7%2A4%5E2%2B4%2A4-2%5C%5C%5C%5C%3D112%2B16-2%5C%5C%5C%5C%3D126)
The Minimum value for which exponential function exceeds the polynomial function is , x= 0.5
But,there is other value for which exponential function exceeds the polynomial function is , x=2.
Answer:
The answer is 57.6
Step-by-step explanation:
6 x 9.6 = 57.6