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y >  6x -100  

Step-by-step explanation:

the slope intercept equation of the line is

y=mx+b

m is the slope = (y2-y1) / (x2-x1) so between the y-intercept (0,-100) and the given point (25, 50) we have m= -100-50/0-25 = -150/-25 = 6

y= 6x -100

now we have to figure the inequqlity part so take point (0, 0) that belongs to the solution and substitute in the equation

0 = 6*0 -100

0 = -100  for the equation to be true we have to make it 0 > -100, we also need to make it NOT greater or equal then because the line is doted not solid  so the inequality is

y >  6x -100  

no

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)