Answer:
y=3x-2
Step-by-step explanation:
your question didn't have any instructions so this might not be what you're looking for
set them equal to each other
-3x+4=3x-2
-3x-3x=-2-4
-6x=-6
x=1
plug in x=1
y=3(1)+4 =7
y=3(1)-2 =1
so, when x=1, y=1 in the expression y=3x-2
1 thousand and 1 hundred means 1100.
In scientific notation, it's 1.1*10^3
Answer:
there is two solutions to that problem. you can find x is equal to two numbers.
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.
Domain is the first set of numbers or x
52, 72, 86 and 105
the y coordinates are the range
