Answer:
The son is 20 and the father is 80.
Step-by-step explanation:
Answer:
![p (x) = x^{3} - 21x^{2}+ 147x - 343](https://tex.z-dn.net/?f=p%20%28x%29%20%3D%20x%5E%7B3%7D%20-%2021x%5E%7B2%7D%2B%20147x%20-%20343)
is the required polynomial with degree 3 and p ( 7 ) = 0
Step-by-step explanation:
Given:
p ( 7 ) = 0
To Find:
p ( x ) = ?
Solution:
Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.
Therefore zero's of the polynomial is seven i.e 7
Degree : Highest raise to power in the polynomial is the degree of the polynomial
We have the identity,
![(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}](https://tex.z-dn.net/?f=%28a%20-b%29%5E%7B3%7D%20%3D%20a%5E%7B3%7D-3a%5E%7B2%7Db%20%2B3ab%5E%7B2%7D%20-%20b%5E%7B3%7D)
Take a = x
b = 7
Substitute in the identity we get
![(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343](https://tex.z-dn.net/?f=%28x%20-7%29%5E%7B3%7D%20%3D%20x%5E%7B3%7D-3x%5E%7B2%7D%287%29%20%2B3x%287%29%5E%7B2%7D%20-%207%5E%7B3%7D%5C%5C%28x%20-7%29%5E%7B3%7D%20%3D%20x%5E%7B3%7D-21x%5E%7B2%7D%20%2B147x%20-%20343)
Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.
p ( 7 ) = 7³ - 21×7² + 147×7 - 7³
p ( 7 ) = 0
![p (x) = x^{3} - 21x^{2}+ 147x - 343](https://tex.z-dn.net/?f=p%20%28x%29%20%3D%20x%5E%7B3%7D%20-%2021x%5E%7B2%7D%2B%20147x%20-%20343)
Answer:
=6
Step-by-step explanation:
hat is this passage mostly about?
Click for the passage, "Studies in Ice."
A. Studying nature
B. Storing and moving ice safely
C. Powering drills with the sun
D. Saving messages in ice
Answer:
t =12 m
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem.
Put the smaller triangle on top and the larger triangle on bottom
12 9
------ = -------
16 t
Solve by using cross products
12 t = 9*16
12 t =144
Divide by 12
12t/12 = 144/12
t = 12
There are 3 face cards for each of the 4 suits, leading to a total possible gain of 120, there are 40 other cards leading to a total possible loss of 80.
120 - 80 = 40.
40 / 52 (total number of cards) = about .77
Final Answer:
The expected value of a draw is positive 0.77 points.
Hope I helped :)