Answer:
b) the coefficient of x of jamie's polynomial is 5 .
c) The two polynomials are :
x³ + 4x² + 5x + 4
x³ - 2x² + 5x + 4
Step-by-step explanation:
consider these two Monic polynomials of degree 3:
P : x³ + ax² + bx² + c
Q : x³ + a₁x² + bx² + c
P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²
Now we compare the coefficients of P × Q and x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16
b)
c² = 16 ⇒ c = 4 (c is positive)
2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .
c)
In order to find a and a₁ we need to solve this system:
a+a₁ = 2 a+a₁ = 2
⇔
aa₁+2b = 2 aa₁ = -8
Solve the system and you’ll get :
a = 4 and a₁ = -2 or a = -2 and a₁ = 4
Let’s choose a = 4 and a₁ = -2 then
the two polynomials are respectively:
P : x³ + ax² + bx² + c = x³ + 4x² + 5x + 4
Q : x³ + a₁x² + bx² + c = x³ - 2x² + 5x + 4
It is always linear
it has a y intercept at 7 and an X intercept at -7
domain: (-infinity, infinity)
range: (-infinity, infinity)
integral: (1/2) x^2+7×
derivative: 1
Answer:
Step-by-step explanation:
2) x - y = 2/3
3) 3x +2y = 6
3x = 6 - 2y
Divide the equation by 3
4)
5) 4x - 3y = -33
-3y = -33 - 4x
Divide the equation by (-3)
1) Yes, it was easy to solve one variable in terms of the other.
2) Yes, it was easy to solve for y in terms of x. Coefficient of x was a fraction.
3) It will be easy if we take the value of x as multiples of 3
Example: if x = 3,
It is easy to plot (3 ,15)
MOE = +\- 1.27
The 99% confidence interval ranges from 53.73 to 56.27 hours.
Answer:
Answer:
3.14159
Step-by-step explanation:
This number is pi. Pi goes on for millions of digits on end.
Step-by-step explanation: