Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).
<h3>What is Function?</h3>
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
Here, the function is given by:
f(x) = x²/2 + 5x + 6
On differentiating both sides, with respect to x we get
f'(x) = x + 5
Then, we test the signal of the derivative, which is the first derivative test.
x + 5 ≥ 0
x ≥ -5
Thus, It is found that the Function is increasing on the interval is (-5, ∞).
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To answer this question we can propose the following equation:

Where:
x is the number of weeks elapsed.
d is the debt depending on the weeks.
Robert promised to pay at least $ 67 each week.
Therefore, after 5 weeks the debt of rober should be:


Then scenario A) is possible because
.
After 6 weeks:


Then scenario B) is possible because
.
After 7 weeks


Then scenario C) is possible because
.
After 8 weeks


So scenario D) is NOT possible because 
Finally the correct answer is option D.
Answer:
1/4x+1/8
Step-by-step explanation:
-1/8(-2x-1)
=1/4x+1/8
Answer:
y = 2 * 9 ^ x
Step-by-step explanation:
From the first point, you can get the value of a, since any number with power 0 with always equal to 1
Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.
- 1458 = 2b ^ 3
- 729 = b ^ 3
- B = 9
In exact form it is 13/6 .. and mixed numbers it is 2 1/6