Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) The slope / gradient is the coefficient of 
, so for a) it will be 
.
C is the y-intercept, so the full equation will be .
b) Again, since the slope is 6, we know the coefficient of will be 6.
Now, we have a point on the line and so far, we know the equation is 
. The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.
c) To find the gradient we must use the formula 
.
rise = change in y value
run = change in x value
so, the gradient 
Now the equation is 
Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).
so c) is
We want to solve
Subtract 2/(2x+1) from each side.
Add 1/4 to each side, and simplify the left side.
Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1
Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.
Answer:
Answer:
-0.43
Step-by-step explanation:
The average rate of change is defined as:
For AVR to be negative, it must comply with:
Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.
Among the options given, this interval is:
1 to 2.5
Answer:
An interval on the x-axis that has a negative rate of change is:
D. 1 to 2.5
