Answer:
![\large\boxed{g\bigg(f(2)\bigg)=11}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bg%5Cbigg%28f%282%29%5Cbigg%29%3D11%7D)
Step-by-step explanation:
![f(x)=3x-2,\ g(x)=x^2-5\\\\g\bigg(f(2)\bigg)=?\\\\\bold{STEP\ 1:}\\\text{Calculate}\ f(2).\\\text{Substitute}\ x=2\ \text{to}\ f(x):\\\\f(2)=3(2)-2=6-2=4\\\\\bold{STEP\ 2:}\\\text{Substitue}\ x=4\ \text{to}\ g(x):\\\\g(4)=4^2-5=16-5=11](https://tex.z-dn.net/?f=f%28x%29%3D3x-2%2C%5C%20g%28x%29%3Dx%5E2-5%5C%5C%5C%5Cg%5Cbigg%28f%282%29%5Cbigg%29%3D%3F%5C%5C%5C%5C%5Cbold%7BSTEP%5C%201%3A%7D%5C%5C%5Ctext%7BCalculate%7D%5C%20f%282%29.%5C%5C%5Ctext%7BSubstitute%7D%5C%20x%3D2%5C%20%5Ctext%7Bto%7D%5C%20f%28x%29%3A%5C%5C%5C%5Cf%282%29%3D3%282%29-2%3D6-2%3D4%5C%5C%5C%5C%5Cbold%7BSTEP%5C%202%3A%7D%5C%5C%5Ctext%7BSubstitue%7D%5C%20x%3D4%5C%20%5Ctext%7Bto%7D%5C%20g%28x%29%3A%5C%5C%5C%5Cg%284%29%3D4%5E2-5%3D16-5%3D11)
Answer: Hello there!
If D is the price of one drink and P the price of one bag of popcorn, we know that:
9*D + 2*P = $86.50
3*D + 9*P = $89.25
Now we can isolate one of the therms in the first equation and replace it in the second one:
Lets isolate D in the first equation
9*D + 2*P = $86.50
9*D = $86.50 - 2*P
D = ( $86.50 - 2*P)/9
now we can replace in in the second equation and obtain the value of P
3*D + 9*P = $89.25
3*( $86.50 - 2*P)/9 + 9*P = $89.25
( $86.50 - 2*P)/3 + 9*P = $89.25
$28.83 - (2/3)P + 9P = $89.25
(9 - 2/3)P = $89.25 - $28.83 = $60.42
(25/3)P = $60.42
P = $60.42*(3/25)= $7.25
So each bag of popcorn cost $7.25.
Now we can replace it in the first equation and find the price for the drinks:
9*D + 2*P = $86.50
9*D + 2*$7.25 = $86.50
9*D + $14.50 = $86.50
9*D = $86.50 - $14.50 = $72
D = $72/9 = $8
So each drink cost $8.
And now we know the price for one bag of popcorn and for one drink,
The midpoint is (-1/2, 2)
Answer:
2
Step-by-step explanation:
a = 1/2ab
~Divide 1/2a to both sides
2 = b
Best of Luck!
Step-by-step explanation:
y - 7 = 4x - 8
y = 4x - 1
(0,-1)