Answer:
For
, x = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :

Now, using the ALGEBRAIC IDENTITY:

Comparing this with the above expression, we get

⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2) = 0 ⇒ x = 2
and if ( x + 2) = 0 ⇒ x = -2
Hence, for
, x = 2, or x = - 2.
Answer:
j(x) = [ (3/10) cookie/student ]x
Step-by-step explanation:
The "unit rate" here is
3 jumbo cookies
------------------------- = (3/10) cookie/student
10 students
Then the number of cookies needed to feed x students is
j(x) = [ (3/10) cookie/student ]x
Answer:

Step-by-step explanation:
Given:
- Line passes through (-2,3) and (2,7)
Required:
- Find the equation of the line
The equation of the line passing through two points is given by

So, 


Now, 
On rearranging,

Therefore, the equation of the line is 
Answer:
cos − 1 ( x ) [ − 1 , 1 ] [ 0 , π ]
Answer:
Choice B: Start at the origin. Move
units to the right, and
units upwards.
Step-by-step explanation:
There are two axes on a typical Cartesian coordinate plane:
- The horizontal
-axis, and - The vertical
-axis.
Many diagrams of a Cartesian plane would have arrows on these two axis. Typically, there would be:
- a rightward arrow
on the right-hand side of the horizontal
-axis, and - an upward arrow
at top of the vertical
-axis.
The arrow on the
-axis pointing rightward suggests that as a point move to the right, the
coordinate of that point would increase. Conversely, it would be necessary to move points to the right so as to increase their
-coordinates.
On the other hand, the arrow pointing upwards on the
-axis indicate that as a point move upward, the
coordinate of that point would increase. With a similar logic, it would be necessary to move points upward to increase their
-coordinates.
Besides, the origin (the intersection of the two axis, unless otherwise specified) would corresponds to
. (That is:
and
.) If the origin
is the starting point, it would be necessary to increase the
-coordinate by
units (by moving rightward
units) and increase the the
-coordinate by
units (by moving upwards
units) so as to reach the point
.