Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
Answer: center (1;0), radius = 2
Step-by-step explanation:
x² – 2x + 5+ y² = 8
x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²
(х-1)² +4 + y² = 8
(х-1)² + y² = 8 - 4 = 4
(х-1)² + y² = 2²
center (1;0), radius = 2
Answer:
A. The Federal Trade Commission
Step-by-step explanation:
The FTC inaugurated its doors in March 1915. The FTC's purpose is to protect consumers and encourage contestants. The FTC cannot solve individual grievances, but it can present knowledge about what steps to exercise. The FTC states that accusations can improve it and its law implementation partners identify patterns of fraud and exploitation, which may direct to examinations and preventing unfair marketing practices.
<em>The value of b is 14 and the value of c is 65</em>
<h2>
Explanation:</h2>
The quadratic function is a function of the form:
Here we know that the leading coefficient 
so we reduce our equation to:
The roots are those values at which 
So:
So we have:
Finding c from (1):
<h2>Learn more:</h2>
Complex conjugate: brainly.com/question/2137496
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