Answer:
2x– 3y = –18
3x + y = -5
Converting the equation in slope-intercept form
2x-3y= -18
-3y= -2x-18
-3y= -(2x+18)
3y=2x+18
y=(2x+18)/3
And for equation 2
y= -5-3x
For plotting the graph, the online graphing calculator desmos.com can be used.
The points can be calculated by putting negative and positive values of x in both equations.
The graph is attached as a picture.
As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.
Step-by-step explanation:
Let's let
represent the cost of tapes, and
be the cost of CDs.
From the problem statement, we can create the following two equations:


To solve this system of equations, we can solve for
in the second equation and substitute into the first equation to get the value of
:


Substitution:




Now that we know the cost of the tapes, we can plug this value into either equation to get the cost of CDs:





or




Therefore, the cost of a tape is
and the cost of a CD is
.
Answer:
NOT a function
Step-by-step explanation:
The input (x) 3 has two outputs (y), 1 and 6. Functions can only have one output for each input.
Answer:
6x+2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Given
f(x) = x² + x + 1
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + x
x² + 2(
)x +
-
+ 1
= (x +
)² +
→ C