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:
Yes, the car was speeding. I agree with Nico.
Step-by-step explanation:
When you divide 98 miles by 1.7 hours, the answer is 57.6470588. I agree with Nico because it is okay to round because no matter what, the number before the decimal number (57) will always be a greater number than 55. It is easier to round the number for the equation, so Nico is correct in this situation.
Hope this was helpful!! Mark brainliest if so!!!
Have a fantabulous day!!
Answer:
= 2π
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Divide both sides by r
= 2π ← ratio of circumference to radius
Answer:
y=2/3x-2
Step-by-step explanation:
A linear equation is in the form of y=mx+b
You need to find the slope and y-intercept.
The slope is 2/3 Up 2, over 3 to the right.
The y-intercept is (0,-2)
So the equation would be, y=2/3x-2
Hope this helps :)