For a polyonomial
P(x)=ax^n+bx^(n-1)...zx^0
when n is odd, the endpoints of the graph point in oposite directions
when n is even, the endpoints of the graph point in same direction
a is the leading term
when a is positive and:
1. n is odd, the graph goes from bottom left to top right
2. n is even, the graph goes from top left to top right
when a is negative and:
1. n is odd, the graph goes from top left to bottom right
2. n is even, the graph goes from bottom left to bottom right
xintercept is where the line crosses the x axis or when y=0
yintercept is where the line crosses the y axis or when x=0
f(x)=1x^3-11x^2+36x-36
leading term is positive and odd degree
graph goes from bottom left to top right, has 1 inflection point
yint, sub 0 for all x's
f(0)=0^3-11(0)^2+36(0)-36
yintercept is y=-36 or (0,-36)
xintercept
set function equal to zero
0=x^3-11x^2+36x-36
factor
0=(x-2)(x-3)(x-6)
x=2,3,6
xintercepts are at x=2,3,6 or (2,0), (3,0) and (6,0)
Answer:
-10 if you meant 1/4(8-4p)
-20 if you meant 1/4{(8-4p)+2p}
Step-by-step explanation:
The first step in solving the problem is to distribute the 8. We know this because of the system or order of operations as well as the distributive property.
8(2+7c)=-19
16+56c=-19
The next step in solving is to isolate the variable, which we can do by performing the opposite operations of the values
16+56c=-19
-16 -16
56c=-35
/56 /56
c=-35/56
Finally, we should put our equation in simplest form.
c=-35/56
c=-5/8=-.625
Using the math above, we can see that the value of the variable is -5/8 or -.625.
We must set the two expressions to be equal:
216t + 18 = 362t + 8
Subtract 216t from both sides:
18 = 146t + 8
Subtract 8 from both sides:
10=146t
Divide both sides by 146:
t = 10/146 = 5/73
Answer:
Show the shape.
Step-by-step explanation:
