Please use " ^ " to denote exponentiation:
<span>f(x) = –(x + 8)^2 – 1
Find the first derivative: f '(x) = -2(x+8)(1)
Set this = to 0: -2(x+8) = 0
solve for x: x = -8
Divide the number line into subintervals based upon x=-8:
(-inf, -8) and (-8, inf)
Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.
Subst. this test value into the derivative, shown above.
If the result is + the function is incr on that interval; if - the fn. is decr.
Questions welcome!</span>
A. 2
GCF is the biggest number that can go into both numbers evenly
Any number raised to power zero = 1.
Note that 0 raised to power 0 is not 1, it is undefined.
Therefore:
(-4x)⁰ = 1
For the second part -4x⁰ = :
x⁰ = 1, -4x⁰ = -4*(1) = -4
This is true on the assumption that x is not equal to zero.
I hope this explains it.
The GCF of 28 and 16 is 4 since 28/4=7 and 16/4=4 and 7 and 4 are relatively prime. The gcd of a^3 and a is a. The gcd of b and b^2 is b. Thus, the gcd of the whole thing is 4ab so A is the answer.
The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.
<h3>What is the number of water stations along the road race?</h3>
It follows from the task content that the number of water stations can be determined as follows;
13 1/2 ÷ 3/4
= 27/2 × 4/3
= 18 water stations.
Read more on fraction division;
brainly.com/question/407943
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