Answer: 2, 1.5 , -0.75
(b) 
Step-by-step explanation:
Given
line is 
Converting it into intercept form

So, the x-intercept is
and y-intercept is 
The slope is given by

(b) the line perpendicular to the above line and passing through 
The slope of the required line

Equation of the line is given by

Answer:
(0, inf)
Step-by-step explanation:
The average rate of change of a function is related to it's first derivative. When the first derivative is positive, the average rate of change is positive, which means that the function is crescent.
Now, when the first derivative is negative, the average rate of change will be negative too, and the function is going to be decrescent.
In your function.
We have: f'(x) = 2x
2x > 0 when x > 0. So when x > 0 the average rate of change of your function is positive, and it's values increases as the time increases. When x < 0, the average rate of change is negative, so, as the time increases, the values of f decrease.
You can use a graphic tool to plot f and visualize this better.
Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
Answer:
39/80
Step-by-step explanation:
Answer: 4 for the first one and 4.25
Explanation:
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