Answer:
The domain and range of function is the set of all possible inputs and outputs of a function respectively.
The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.
The domain and range of any function can be found algebraically or graphically.

Step-by-step explanation:
- Masses of the bodies are x and y
- Distance at which they are kept is r
- When two bodies are of masses x and y are placed at a distance r then the gravitational force acting on them is given as:

- Where G is the gravitational constant.
Answer:
f(x)=-|x|+19
Step-by-step explanation:
so shifted 19 units up means
abosolute value of x + 19
and reflected in the x axis means that you have to put the - before the abosolute value.
so -|x|+19
Answer:
a. 
Step-by-step explanation:
The slope-intercept form of equation of a line is given as
. Where,
m = slope
b = y-intercept.
Rewrite the equations,
and
, in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.


Divide both sides by 5


Rewrite

The slope of
is ⅖.

(subtraction property of equality)
Divide both sides by 4
The y-intercet of
is -6
Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

Plug in the values of m and b

