Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
We find that 
factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer:
Step-by-step explanation:
7 lenthii=38 inches, 10 lenthii=410
410-225.3=184.7
184.7+38=222.7 222.7+38=260.7
260.7- 4 lenthii=225.3
A: the first answer is the best option
if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct
if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s
lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors
hope this helps, and is correct :)!
3x2(4x<span> – 3) + 1(4</span>x<span> – 3) </span>
Answer:
a) t = 4
b) v = pi j + 5 k
c) rt = 1i + (pi t) j + (20 +5t )k
Step-by-step explanation:
You have the following vector equation for the position of a particle:
(1)
(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.
For a height of 20 you have:
(b) The velocity of the particle is the derivative, in time, of the vector position:
(2)
and for t=4 (height = 20):
(c) The vector parametric equation of the tangent line is given by:
(3)
ro: position of the particle for t=4
Then you replace ro and v in the equation (3):
