The factors of a polynomial function are the zeros of the function
It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
<h3>How to show why the x - 3 is a factor</h3>
The function is given as:
m(x) = x^3 - x^2 - 5x - 3
The factor is given as:
x - 3
Set the factor to 0
x - 3 = 0
Solve for x
x = 3
Substitute 3 for x in the function
m(3) = 3^3 - 3^2 - 5(3) - 3
Evaluate
m(3) =0
Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
Read more about factors at:
brainly.com/question/11579257
<span>The term that you want is 5C2*p^2*q^3
representing 2 successes and 3 failures. This term's value is</span>
<span>(5C2)(0.5^5)
= 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3% </span>
Answer:
Step-by-step explanation:
1. Answer below
![2x = \sqrt[3]{125}](https://tex.z-dn.net/?f=2x%20%3D%20%5Csqrt%5B3%5D%7B125%7D)
2. Answer below
![x + 3^{2} = \sqrt[3]{27}](https://tex.z-dn.net/?f=x%20%2B%203%5E%7B2%7D%20%3D%20%5Csqrt%5B3%5D%7B27%7D)
Answer:
Step-by-step explanation:
Recursive formula
a1 = -17
a^n = a^n-1 + 5
Explicit formula:
a^n = -17 + (n-1) * 5
Answer: EP is 12 and EO is about 10.91.
To find the length of EP, we can use the Pythagorean Theorem with the 2 legs of the right triangle it would form, EC and CP. CP would be 5 because it is the midpoint of the side.
5^2 + (EP)^2 = 13^2
EP = 12
Now, to find EO, we write and solve another Pythagorean Theorem equation using 12 for EP.
5^2 + (EO)^2 = 12^2
EO equals the square root of 119 or about 10.91.
