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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Answer: the school paid $80 for the book.
Step-by-step explanation:
Let x represent the amount that the school paid for the book.
Her school charges a lost book fee equal to 75% of the cost of the book. It means that the amount that the school would charge on a book that cost $x is
75/100 × x = 0.75 × x = 0.75x
Sarah received a notice stating that she owed the school $60 for he lost book. It means that
0.75x = 60
x = 60/0.75
x = $80
3/4 × 2 2/5
Turn 2 2/5 into an improper fraction.
2 2/5 = (5 × 2) + 2 = 12
So, 2 2/5 = 12/5
So, our new question is : 3/4 × 12/5
Multiply the numerators (top numbers) with one another.
Numerators : (3 × 12) = 36
Multiply the denominators (bottom numbers) with one another.
Denominators : (4 × 5) = 20
So, our answer is 36/20
However, we need this to be a mixed number.
So, how many times does 20 go into 36? Once!
So, Multiply 20 with 1, and then subtract that number from 36! :)
20 × 1 = 20
36 - 20 = 16
So, our answer is :
1 16/20
Then, you simplify it once more.
Divide the numerator and denominator by 4.
16 ÷ 4 = 4
20 ÷ 4 = 5
So, our final answer is 1 4/5
~Hope I helped!~
Answer:
Cannot be determined
Step-by-step explanation:
You cannot assume the function travels down infinitely, because the function is not given to you. The graph could go up down left or right for all you know, you just cannot see it.
