Work out (5x10^3) x (5x10^7) standard form
1 answer:
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Answer:
x > -3
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation:
Given function:
Therefore, x-value of function's vertex:
<u>Final Solution</u>
The function is increasing when x > -3
Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let <em>b</em> ft be the height of the blue △.
sin 60° =
<em>b</em> = 25 sin 60°
Let <em>r</em> ft be the height of the red △.
tan 40° =
<em>r</em> = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
