Answer:
Step-by-step explanation:
First, look at the graph to determine whether it opens down or up, which in this case is <em>down</em>, so you insert a negative in front of the expression. Next, locate your <em>x-intercepts</em> [<em>zeros</em> (where the graph insects the x-axis)]. You will see that the graph intersects ![\displaystyle [-2, 0]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B-2%2C%200%5D)
and ![\displaystyle [4, 0],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B4%2C%200%5D%2C)
so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, ![\displaystyle y = A[x - h]^2 + k,](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20A%5Bx%20-%20h%5D%5E2%20%2B%20k%2C)
that negative in front of 
gives you the OPPOCITE outcome, so be careful.
I am joyous to assist you at any time.
Answer:
5.the rental all cost per day is 74-55.5=18.5 per day
Step-by-step explanation:
other questions you have to think seriously
Answer:
g(f(x))= (x+3)(x+3)
Step-by-step explanation:
f(x) =x² + 6x +7
g(x)= x + 2
1st Step: Substitute the x in g(x) =x + 2 by the value of f(x)
g(f(x))= (x² + 6x +7) + 2
g(f(x))= x² + 6x + 9
2nd Step: Simplify
g(f(x))= x² + 6x + 9
g(f(x))= (x+3)(x+3)
Perimeter = 2(width+length) =28
Let x=width of base, then length of base = (28/2)-x = 14-x
Volume of box = length*width*height
=x(14-x)*5 = 5x(14-x)
Answer:
a. dy/dx = -2/3
b. dy/dx = -28
Step-by-step explanation:
One way to do this is to assume that x and y are functions of something else, say "t", then differentiate with respect to that. If we write dx/dt = x' and dy/dt = y', then the required derivative is y'/x' = dy/dx.
a. x'·y^3 +x·(3y^2·y') = 0
y'/x' = -y^3/(3xy^2) = -y/(3x)
For the given point, this is ...
dy/dx = -2/3
___
b. 2x·x' +x^2·y' -2x'·y^3 -2x·(3y^2·y') + 0 = 2x' + 2y'
y'(x^2 -6xy^2 -2) = x'(2 -2x +2y^3)
y'/x' = 2(1 -x +y^3)/(x^2 +6xy^2 -2)
For the given point, this is ...
dy/dx = 2(1 -0 +27)/(0 +0 -2)
dy/dx = -28
_____
The attached graphs show these to be plausible values for the derivatives at the given points.
