Answer:
m = 12
Step-by-step explanation:
For f(x) = 2x² you want to find the slope m using ...
m = (f(x+h) -f(x))/h
at x=3.
Filling in the function definition and its arguments, we have ...
m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h
The value of this as h goes to zero is ...
m = 4x
At x=3, the slope is ...
m = 4·3 = 12
_____
The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.
Answer:
I would think its 24 because 40/5 is 8 then 8 x 3 is 24
Step-by-step explanation:
Answer:
x=−1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(2−3x)=3(3+x)+4
(2)(2)+(2)(−3x)=(3)(3)+(3)(x)+4(Distribute)
4+−6x=9+3x+4
−6x+4=(3x)+(9+4)(Combine Like Terms)
−6x+4=3x+13
−6x+4=3x+13
Step 2: Subtract 3x from both sides.
−6x+4−3x=3x+13−3x
−9x+4=13
Step 3: Subtract 4 from both sides.
−9x+4−4=13−4
−9x=9
Step 4: Divide both sides by -9.
−9x
/−9 = 9
/−9
x=−1
Answer: Company B charges less.
Explanation: This is because the fee plus the amount charged per hour equals 75 for Company B but If we do this with company A it’s 90 dollars so Company B is cheaper.
