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Answer:
y=-3x+4
Step-by-step explanation:
The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.
The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.
The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.
The final answer is y=-3x+4.
Answer:
Equation for the perimeter of prism's square face: 16x + 12
Step-by-step explanation:
Volume of Square prism = Length * Width * Height
= 144 x^3 + 216 x^2 +81 x
taking 9x common = 9x( 16 x^2 + 24 x + 9)
= 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )
= 9x ( 4x+3)^2
so the length is 9x, width is 4x+3 and height is 4x+3
Now, Perimeter of prism's square face = 2* Width + 2 * Height
= 2* (4x+3) + 2* (4x+3)
= 8x +6 + 8x + 6
= 16x +12
Answer:
see explanation
Step-by-step explanation:
Choose any value for x, substitute into the equation and solve for y, that is
x = - 1
2(- 1) + y = 8
- 2 + y = 8 ( add 2 to both sides )
y = 10
---------
x = 0
2(0) + y = 8
0 + y = 8
y = 8
----------------
x = 1
2(1) + y = 8
2 + y = 8 ( subtract 2 from both sides )
y = 6
---------------
x = 3
2(3) + y = 8
6 + y = 8 ( subtract 6 from both sides )
y = 2
----------------
4 possible solutions are (- 1, 10 ), (0, 8 ), (1, 6 ) and (3, 2 )