Y equals 4x-2 that is my awnser
Answer:
So the answer is 108.75
Step-by-step explanation:
15 * $4.25 = 63.75
12* $3.75 = 45
63.75 + 45 = 108.75.
Answer:108.75
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.
The vertex and the t-intercept where t>0, will help solve this problem. Sending the work on the attachment.
Answer:
y = 5/4 x - 7
Step-by-step explanation:
y - y1 = m(x - x1)
y + 2 = 5/4 (x - 4)
y + 2 = 5/4 x - 5
y = 5/4 x - 7
