Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?

The given function f(x) is decreasing on the interval : (-8, +∞)

Step-by-step explanation:

The function is given to be : f(x) = (x + 8)² - 1

To find the interval of decreasing, first find the critical points of the function f(x)

f(x) = (x + 8)² - 1

⇒ f'(x) = 2(x + 8)

Critical Point : x = -8

Now, Intervals are : (-∞ , -8) and (-8, +∞)

For the interval : (-∞ , -8)

f'(x) > 0 ⇒ f(x) is increasing on this interval.

For the interval : (-8, +∞)

f'(x) < 0 ⇒ f(x) is decreasing on this interval.

Hence, The given function f(x) is decreasing on the interval : (-8, +∞)

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?