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The set of integers contains all the whole numbers and their opposite!
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It would be 12 weeks because if you multiply 5 by 12 then you would get 60 and 60min equals and hour.
Answer:
k = 10
Step-by-step explanation:
the sum of any two interior angles is equal to the exterior angle of the unknown interior angle
4k+5 + 6k+10 = 115
10k + 15 = 115
10k = 100
k = 10
Answer:
The answer is 13, 9 and (-1)
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3><u>To </u><u>Find</u>;</h3>
- h(x) = (-2x + 9) when x = (-2), 0 and 5.
For x = (-2)
h(x) = (-2x + 9)
h(-2) = [-2(-2) + 9]
h(-2) = (4 + 9)
h(-2) = 13
For x = 0
h(x) = (-2x + 9)
h(0) = [-2(0) + 9]
h(0) = (0 + 9)
h(0) = 9
For x = 5
h(x) = (-2x + 9)
h(5) = [-2(5) + 9]
h(5) = [(-10) + 9]
h(5) = (-1)
Thus, The answer is 13, 9 and (-1) when x = (-2), 0 and 5 respectively.
Answer:
Step-by-step explanation:
Expression for the rectangular area and perimeter are, respectively:
After some algebraic manipulation, area expression can be reduce to an one-variable form:
The first derivative of the previous equation is:
Let the expression be equalized to zero:
The second derivative is:
According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:
The maximum area is: