Answer: see last picture
Step-by-step explanation:
We see that the y-intercept is 10 and the slope is -3
so when x = 0, y = 10
Graph this first point (picture 1)
Since the slope is -3, every time you go one unit to the left, you go down 3 units, so graph this second point (picture 2)
Continue this until you have no more room on the graph (picture 3)
now draw a line through the dots (picture 4)
For this case, we have to:
By definition, we know:
The domain of
is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root. Thus, it will always be defined.
So, we have:
with
:
is defined.
with
is also defined.
has a domain from 0 to ∞.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
is not defined, the term inside the root is negative when
.
While
if it is defined for
.
Answer:

Option b
Answer:
28
Step-by-step explanation:
40% 6th graders of 70 total = 28 6th graders
40% 6th graders + 20% 7th graders = 60%
100% - 60% = 40% 8th graders
40% are 8th graders therefore the answer is 28
Easy peasy
the midpoint between

and

is

just average them
so given that (3,5) is the midpoint of (-4,5) and (x,y)

so by logic

and

times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5
the coordinate of point C is (10,5)
the x coordinate is 10
The steps needed to solve the given equation is required.
Adding the opposite value of the constant to both sides.
Divide both sides by the coefficient of the variable.
The solution to the equation is
The given equation is
In order to solve this we first move constants to the side opposite of the variable.
This is done by adding the opposite value of the constant to both sides.
Here is the constant so we add to both sides.
Now, we divide both sides by the coefficient of the variable.
The solution to the equation is