There are 6 nickels and 14 pennies.
There are 20 total coins.
The ratio of nickels to coins is 6:20.
Both of these are divisible by 2, so we can reduce this to 3:10.
The value of the composite function f(g(x)) is 2x^2 + 15
<h3>How to evaluate the composite function f(g(x))?</h3>
The functions are given as:
f(x) = 2x + 1
g(x) = x^2 + 7
We have the function f(x) to be
f(x) = 2x + 1
Substitute g(x) for x in the equation f(x) = 2x + 1
So, we have
f(g(x)) = 2g(x) + 1
Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1
f(g(x)) = 2(x^2 + 7) + 1
Open the brackets
f(g(x)) = 2x^2 + 14 + 1
Evaluate the sum
f(g(x)) = 2x^2 + 15
Hence, the value of the composite function f(g(x)) is 2x^2 + 15
Read more about composite function at
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<u>Complete question</u>
if f(x) = 2x + 1 and g(x) = x^2 + 7
which of the following is equal to f(g(x))
Answer:
Step-by-step explanation:
1. Use the distributive property
5 ( x - 7 ) = 6 ( x + 2 ) → 5x - 35 = 6x + 12
2. Subtract 5x from both sides of the equation
5x - 5x -35 = 6x - 5x + 12 → -35 = x + 12
3. Subtract 12 from both sides
-35 - 12 = x + 12 - 12 → -47 = x
4. So, the answer is
9514 1404 393
Answer:
- units for 20: minutes
- units for 30: degrees Celsius
Step-by-step explanation:
The problem statement tells you the function value is in degrees Celsius, and the function argument is in minutes.
units for 20: minutes
units for 30: degrees Celsius
