Answer:

Step-by-step explanation:
The equation of the line that is parallel to the line we are trying to find is

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

Therefore the equation of the line is:


Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) =
- 1
fg(x) = f (
- 1) , we just put in the value of g(x) , the next thing is to substitute
- 1 for the value of x in f(x) , that is
fg(x) = -2(
- 1) - 1
fg(x) = -2
+ 2 - 1
fg(x) = -2
+ 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 (
+ 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
To get -2 from 2, you would multiple by -1.
To get 2 from -2, you also would multiple by -1.
Ad infinitum.
So the common ratio is -1.
Hope this helps.
Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute
in (i).


Putting
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute
in (ii).

Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get




Putting
in (iv), we get



Putting
in (ii), we get
Therefore, the required quadratic equation is
.
Answer:
As the slope is -2, so the rate of change of the function is:
- rate of change of function = -2
Step-by-step explanation:
The slope is basically the rate of change of a function.
Let us take the two points from the graph
Taking the slope between two points to determine the rate of change of a function



As the slope is -2, so the rate of change of the function is:
- rate of change of function = -2