Answer:
![f(x)=4x\\g(x)=x+2](https://tex.z-dn.net/?f=f%28x%29%3D4x%5C%5Cg%28x%29%3Dx%2B2)
Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get
![k(x)=4(x+2)](https://tex.z-dn.net/?f=k%28x%29%3D4%28x%2B2%29)
Now, we have two different terms getting multiplied. We can separate the two to get ![4 \text{ and} (x+2)](https://tex.z-dn.net/?f=4%20%5Ctext%7B%20and%7D%20%28x%2B2%29)
Because we are multiplying 4 by the other term, this is represented by ![4x](https://tex.z-dn.net/?f=4x)
Now, we can just set f(x) and g(x) to these functions:
![f(x)=4x\\g(x)=x+2](https://tex.z-dn.net/?f=f%28x%29%3D4x%5C%5Cg%28x%29%3Dx%2B2)
Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).
Answer:
Grapes=19.51
Step-by-step explanation:
Apples=$2.19 per pound
Grapes=$2.60 per pound
Apples+Grapes=20 pounds
A+G=20
A=20-G
Equation is
PaA+PgG=35.80
2.19A+2.60G=35.80
2.19(20-G)+2.60G=35.80
43.8-2.19G+2.60G=35.80
43.8-0.41G=35.80
-0.41G=35.80-43.8
-0.41G=-8
Divide both sides by 0.41
G=19.51 pounds
Recall
A=20-G
A=20-19.51
A=0.49 pounds
Hello!
Let's convert 3/8 to a decimal and then multiply the length of each piece of tape by how many pieces Marge used.
To convert a fraction to a decimal, simply divide its numerator by its denominator:
3 ÷ 8 = 0.375
Next, multiply this by the amount of pieces Marge cut.
0.375 × 16 = 6
Therefore, Marge used 6 inches of tape.
Answer:
the 2nd one
Step-by-step explanation:
The expression would be 32+3x where x represents the cost of each shirt. If the shirts were $9 each max would have spent $59