Hello :
<span>f(x) = 4x − 5 and g(x) = 3x + 9
</span><span>(f + g)(x) = f(x) +g(x) = (4x-5) +(3x+9)
</span><span>(f + g)(x) =7x +4
</span><span>(f ⋅ g)(x) = f(x) × g(x) = (4x-5)(3x+9) = 12x² +36x -15x-45
</span>(f ⋅ g)(x) = 12x² +21x -45
<span>f[g(x)] = f(3x+9) = 4(3x+9) -5
</span><span>f[g(x)] = 12x +31</span>
5. 1/8
6. 1/4
7. the fraction part it 1/3
Answer:
rewritten in commutative property: 25 x 16
simplified: 400
Step-by-step explanation:
Answer:
The average rate of change = -10
The crop yield decreased by 10 pounds per acre from year 10 to year 20.
Step-by-step explanation:
A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function
models the crops in pounds per acre over x years.
The average rate of change can be calculated using formula

In your case,

then

and the average rate of change is

This means the crop yield decreased by 10 pounds per acre (negative rate of change) from year 10 to year 20.
8 x 7 = 56
Just multiply the two, if the question was 7 + 8 x 7
then you'd multiply 8 by 7 and that would give you 56
then you'd add 7 for the final answer of 63 but you don't have to add 7 in this problem