Answer:
The answer is 35 and 22
Because:
U let the numbers(#) be x and y (x will be the larger number and y the smaller number
So:
x + y =57
x = 2*y - 9
Therefore,
{2*y - 9} + y = 57
Leaving the two numbers 35 and 22
I hope I could help
Answer:
b = -10
Step-by-step explanation:
2(b + 3) = b – 4
2b + 6 = b - 4
-b -b
b + 6 = -4
-6 -6
b = -10
I think the answer you are looking for is 1
<u><em>NOT AT ALL 100% SURE :(</em></u>
Answer:
$ 12.09
Step-by-step explanation:
formula Y = KX
Where; y = $ 24.18
x = 2 books
k = constant of proportionality
Step 1. Do the equation based on the formula
Y = kx
$24.18 = k2
Step 2. Divide by 2
$24.18/2 = k2/2
k = $12.09 (answer)
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.
