Answer:
The number is = 16
Step-by-step explanation:
Given:
Twice the sum of a number and 2 is equal to three times the difference of the number and 4.
To find the number.
Solution:
Let the number be = 
The equation can be now written as:
Solving for
Using distribution:
Adding 12 both sides.
subtracting 
from both sides.
∴ 
Thus, the number is = 16
I’ll answer, but wait, do I send a picture of my work? or not? It says I have to make a table of values, so
We have that
<span>f(x)=2x−3
g(x)=3x−7
2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4
find the value of f(x) or g(x) for x=4
</span>f(x)=2x−3 -------> f(4)=2*4-3------> f(4)=5
<span>the solution is the point (4,5)
using a graph tool
see the attached figure
</span><span>statement
case a) </span><span>The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct
case b) </span><span>The solution of the equation is the y-intercept of the linear equations.
</span>this is not correct
case c)<span>The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
</span>this is correct
case d) <span>The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct
the answer is </span>
case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
The originial function is f (x).
The original function contains the point (4, -8).
The transformation f (x + 3) moves the graph 3 units to the left.
Therefore, the new point is:
(4 + 3, -8) = (7, -8)
Answer:
The corresponding point for the function f (x + 3) is:
(7, -8)
