Answer:
x=-7
Step-by-step explanation:
1. Distribute the 7 into the parenthesis: -7-2x=7x+56
2. Combine like terms by doing the opposite operation to the numbers: -7=9x+56 (added 2x to 7x)
3. Subtract 56 to each side of the equation: -63=9x
4. To isolate the variable "x," divide each side by 9: x=-7
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.

Answer:
B (second table in list)
Step-by-step explanation:
The function is a quadratic with vertex and y-intercept at (0,-2). The parabola opens up meaning only y - values above -2 are a part of the function. Since range is the set of all y values, then the range is
.
The domain is not restricted and it is all real numbers.
The inverse of the function is where x and y are switched. So the range becomes the domain and vice verse.
This means the domain of the inverse is
and the range of the inverse is all real numbers.
3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

and collecting like terms:

We find that the perimeter of both shapes is equal to 11 units.
You would do 2x-3+x+3x-15=360
combine like terms which then gives you
5x-18=360 then you would add 18 to both sides giving you
5x=378
and then you divide by 5 on both sides which will then give you your answer x=?