Answer: 18 and 36
Step-by-step explanation:
The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.
Answer: The slope would be <u>-1/5</u>
Heres a graph
Hope this helps!
1) 270 Fahrenheit
2) 34 Minutes
3) 48 Seconds
Answer: y = 4x + 5
Step-by-step explanation:
The general equation of a line is y = mx + d ,
m = slope
d indicates the y-intercept, when x=0 , Y=5 => (0,5)
In the given line m = 3 , so that is the slope.
This slope has an angle = arctan(3) = 71.56º
If we need a steeper line, we have to increase m,
By example y = 4x + 5 , would have the same y-intercept but would be steeper.
This new line has a greater slope, with an angle = arctan (4) = 75.96º
Proof with Step-by-step explanation:
Since it is given that f(x) is decreasing thus we infer that
Similarly it is given that g(x) is decreasing thus we infer that
Now let
Differentiating both sides with respect to 'x' and using chain rule of differentiation we get
Now since both f'(x) and g'(x) are both negative(<0) we can infer that their product is always positive (>0)
Thus fog(x) is an increasing function.