Answer:
Step-by-step explanation:
2(4x+1)<3(2x-3)
simplify to
8x+2<6x-9
we can add 9 to both sides and subtract 8x from both sides
11<-2x
divide by -2
-5.5>x
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)
d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.
Assuming you typed this correctly, and how you wanted it, then the answer(s) would be x=3, or x=8. Both answers are correct. If it were multiple choice, then the answer would look something like: X=3 or 8.
If you meant 2x, then the answer would be x=8/3. This is a fraction
Answer:
yes
Step-by-step explanation:
Answer:
1 1/2 kg de queso
Step-by-step explanation:
De la pregunta anterior, sabemos que:
1 queso = 1/4 kg
6 quesos = x kg
Multiplicar cruzada
1 queso × x kg = 6 quesos × 1/4 kg
x kg = 6 quesos × 1/4 kg / 1 queso
x kg = 3/2 kg
x kg = 1 1/2 kg de queso
