Dilation because the sides will not be the same size as the original
Answer:
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
(6x^3 + 4x-2) + (4x^2 + 3x^3 - 6)=
6x^3 + 4x-2 + 4x^2 + 3x^3 - 6=
9x^3+4x^2+4x-8
Answer:
x = 29
Step-by-step explanation:
If the equation is :
4.2(9-x)+36=102-2.5(2x+2)
→distribute 4.2 and -2.5 in parenthesis
4.2(9 - x) + 36 = 102 -2.5(2x + 2)
37.8 - 4.2x +36 = 102 -5x -5
→ have terms with x = terms without x
Keep the terms you need the way they are, and move the terms you need on the other side of equal sign with changed sign.
4.2(9 - x) + 36 = 102 -2.5(2x + 2)
37.8 - 4.2x +36 = 102 -5x -5
- 4.2x +5 x = - 37.8 - 36 + 102 - 5
→ Combine like terms
0.8x = 23.2
→ Divide both sides by 0.8
x = 29
Depends on what time their bedtime is, like if their bedtime is at 6:00, and they have to wake up at 5:00 then their waking hours would be 11 hours.
