The right option is (c). The Mean Value Theorem does not apply since f(x) is not differentiable on (-1,8). Because the derivative of f is 2/3 x^(-1/3) which is undefined at x=0.So, that would imply that it is not differentiable along the interval.
Vertex form is basically commplete the square
y=a(x-h)^2+k
y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45
answer is A
9514 1404 393
Answer:
f(x) = -1/2x +1
Step-by-step explanation:
The line crosses the y-axis at y=1, so the y-intercept is b=1.
The line drops 1 unit for a run of 2 to the right, so the slope is ...
m = rise/run = -1/2
The slope-intercept form of the equation of the line is ...
y = mx + b
y = -1/2x + 1
In functional form, the equation is ...
f(x) = -1/2x +1
Answer:
For every 5 movies on the list there are 2 comedy movies
Answer:
a(n) = 20*2.5^(n - 1)
Step-by-step explanation:
Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50. Thus the common factor is 2.5. The formula for the nth term is
a(n) = a(1)*r^(n - 1) => a(n) = 20*2.5^(n - 1)
