a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]
b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]
It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.
No it won’t work sorry for the concierge room
<span>Answers:
V = (15-2x)(8-2x)x
V = 120x -46x²+ 4x³
V' = 120 -92x + 12x²
0 = 120 -92x + 12x²
x = (92±52)/24
x = 6 or 5/3
Pick x = 5/3
Volume = (15-2*5/3)(8-2*5/3)*5/3
= 90.74 inÂł
To justify x = 5/3 is the max
V" = -92 + 24x
V"(5/3) = -92 + 24(5/3) <0 negative.
Volume V(5/3) is max because the function is
concave down with V"<0.</span>
Answer:
No solution
Step-by-step explanation:
3(x-3)+5=3x+1+4
3(x-3)+5=3x+5
3x-9+5=3x+5
3x-4=3x+5
+4 +4
3x=3x+9
-3x -3x
0≠9
Hope this helps!
Answer:
9/5
Step-by-step explanation:
If we want to know the amount of times the fraction 5/3 can go into 3, you would need to set up the equation 5/3x = 3.
(3/5)*(5/3x) = (3/5)*(3)
x = 9/5