Answer:
Find the attached
Step-by-step explanation:
We have been given the following expression;
(x-2)=5(x+1)
We are required to determine the graph of the solution set. To do this we formulate the following set of equations;
y = x - 2
y = 5(x+1)
We then graph these two equations on the same cartesian plane. The solution will be the point where these two graphs intersect.
Find the attachment below;
Answer:
One equation would be y= -1.5x +11
Step-by-step explanation:
Here's a table to show the coordinates
x: y:
8 -1
-------------------
-4 17
the x coor. 8 goes down by 12 to get to the next x coor. -4.
8-12= -4
the y coor. -1 goes up by 18 to get to the next y coor. 17.
-1+18= 17
therefore 18/-12 is -1.5 which can be your k in y=kx+b.
Check your answer.
-1.5*8= -12 but when you add 11, you get the y coor. -1
Do the same with the other x coor.
-4*-1.5= 6 + 11 =17
11 can be your b in the slope-intercept form equation.
One equation may be y = -1.5x +11
3(x + 1) - 2x = -6 |use distributive property: a(b + c) = ab + ac
3x + 3 - 2x = -6
x + 3 = -6 |subtract 3 from both sides
x = -9
Answer:

Step-by-step explanation:
Factor each half of the expression separately:

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

Answer:
see explanation
Step-by-step explanation:
The diagrams show triangular figures
The first figure has 1 dot
The second has 1 + 2 = 3 dots
The third has 3 + 3 = 6 dots
The fourth has 6 + 4 = 10 dots
Note the pattern is + 2 , + 3, + 4
Thus the fifth pattern is 10 + 5 = 15 dots