Answer:
see below
Step-by-step explanation:
The function f(x) is the absolute value function scaled vertically and shifted up. Neither of those transformations affects the interval on which it is increasing. The absolute value function increases for x > 0. (It is neither increasing nor decreasing at x=0.)
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The function g(x) is a parabola that opens downward. Consequently, it is increasing for all values of x to the left of its vertex (or line of symmetry). That line of symmetry can be found as ...
x = -b/(2a) = -(8)/(2·(-1)) = 4
So g(x) is increasing from -∞ to 4, but at x=4 is neither increasing nor decreasing.
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Then the interval on which both functions are increasing is ...
{x > 0} ∩ {x < 4} = {0 < x < 4}
This will be graphed as a line between 0 and 4 with open circles at each end.
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The second attachment shows the two functions so you can see where their slopes are positive.
Answer:
The radius is half the length of the diameter.
The circumference is the perimeter of a circle.
To find the circumference, multiply Pi by the diameter.
Step-by-step explanation:
96.47 would be your answer rounded to the nearest hundredth
Answer:
Show questions
Step-by-step explanation:
common sense
Answer:
The area of the rectangle in terms of 'x' = 13x
Step-by-step explanation:
Using the perimeter formula to find the width w.



Dividing both sides by 2

as P = 30 cm


cm
Using the formula of the rectangle area

substitute w = 13 and l = x in the formula


Therefore, the area of the rectangle in terms of 'x' = 13x