the graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below.
how many roots of f(x) are rational numbers?
a.) 0
b.) 1
c.) 2
d.) 3

One rational root.

B is correct.

Step-by-step explanation:

Given: The graph of

First we factor the given function.

Factor of f(x)

f(2)=0 , x-2 must be factor of f(x)

Because f(2)=0

So, x=2 is rational root of f(x)

Now we find another root using quadratic formula.

where, a=4, b=-5 and c=-1

Another roots are,

So, these are irrational root because is irrational.

Hence, The given function has 1 rational root and 2 irrational roots.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.