Answer:
(1,-2)
Step-by-step explanation:
w = ( x , y ) = ( 1 , -2 )
3rd choice
Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.
Answer:
50+0.03x
Step-by-step explanation:
All you need to do is look at the numbers given in the word problem and convert them to algebraic terms.
You can use the definition:

Then if

we have

Then the derivative is

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).
Use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-2) = 3 (<em>x</em> - 0)
<em>y</em> + 2 = 3<em>x</em>
<em>y</em> = 3<em>x</em> - 2
Answer:
6. 51
7. 31
8. 20
Step-by-step explanation:
2x+8=110
2x=102
x=51
2x+x-3=90
3x-3=90
3x=93
x=31
7x+x+20=180
8x+20=180
8x=160
x=20