Answer:
![g(f(3))=-2](https://tex.z-dn.net/?f=g%28f%283%29%29%3D-2)
Step-by-step explanation:
So we have the two functions:
![g(x)=4x+2\text{ and } f(x)=3x-10](https://tex.z-dn.net/?f=g%28x%29%3D4x%2B2%5Ctext%7B%20and%20%7D%20f%28x%29%3D3x-10)
And we want to find g(f(3)).
So, let's find f(3) first:
![f(3)=3(3)-10](https://tex.z-dn.net/?f=f%283%29%3D3%283%29-10)
Multiply:
![f(3)=9-10](https://tex.z-dn.net/?f=f%283%29%3D9-10)
Subtract:
![f(3)=-1](https://tex.z-dn.net/?f=f%283%29%3D-1)
Therefore, we can substitute -1 for f(3):
![g(f(3))=g(-1)](https://tex.z-dn.net/?f=g%28f%283%29%29%3Dg%28-1%29)
Now, find g(-1):
![g(-1)=4(-1)+2](https://tex.z-dn.net/?f=g%28-1%29%3D4%28-1%29%2B2)
Multiply:
![g(-1)=-4+2](https://tex.z-dn.net/?f=g%28-1%29%3D-4%2B2)
Add:
![g(-1)=-2](https://tex.z-dn.net/?f=g%28-1%29%3D-2)
And we're done!
So:
![g(f(3))=-2](https://tex.z-dn.net/?f=g%28f%283%29%29%3D-2)
Answer:
12.6 square feet
Step-by-step explanation:
So first we set it up:
18ft is 100% of the original
and the area of the copies are 70%
Copies: x
x/70 = 18/100
70(18) = 1260
1260/100 = 12.6
x = 12.6
Answer:
The number of melon was 3 and the number of apples was 45.
Step-by-step explanation:
1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where
is the number of melons and
is the number of apples:
![\left \{ {{x+y=48} \atop {20x+8y=420}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%2By%3D48%7D%20%5Catop%20%7B20x%2B8y%3D420%7D%7D%20%5Cright.)
2. By applying the Method of substitution, you can solve for
in the first equation and substitute it into the second one to find
. Then, you can substitute the value of
into the first equation to find
:
![y=48-x](https://tex.z-dn.net/?f=y%3D48-x)
![20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3](https://tex.z-dn.net/?f=20x%2B8%2848-x%29%3D420%5C%5C20x%2B384-8x%3D420%5C%5C12x%3D36%5C%5Cx%3D3)
![3+y=48\\y=45](https://tex.z-dn.net/?f=3%2By%3D48%5C%5Cy%3D45)
Answer:
Step-by-step explanation:
$2400 in labor