The difference quotient of the expression will be 4.
<h3>How to find the quotient?</h3>
f(x) = 5 + 5x + 4x²
f(3) = 5 + 5(3) + 4(3)³
= 56
Now [f(x) - f(3)]/(x - 3) will be:
= (4x² + 5x + 5 - 56)/(x - 3)
= (4x² + 5x - 51)/(x - 3)
= (4x² + 17x - 12x - 5)/(x - 3)
= (4x + 17)(x - 3)/(x - 3)
= 4x + 17
The difference quotient will be:
g(x + h) = 4(x + h) + 17
= [g(x + h) - g(x)]/h
= (4x + 4h + 17 - 4x - 17)/h
= 4h/h
= 4
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Answer:
408 in²
Step-by-step explanation:
A rectangular prism has 6 rectangular faces.
Opposite faces are congruent
2 faces at (6 × 9) = 2 × 54 = 108 in²
2 faces at (9 × 10) = 2 × 90 = 180 in²
2 faces at (6 × 10) = 2 × 60 = 120 in²
surface area = 108 + 180 + 120 = 408 in²
