There are many polynomials that fit the bill,
f(x)=a(x-r1)(x-r2)(x-r3)(x-r4) where a is any real number not equal to zero.
A simple one is when a=1.
where r1,r2,r3,r4 are the roots of the 4th degree polynomial.
Also note that for a polynomial with *real* coefficients, complex roots *always* come in conjugages, i.e. in the form a±bi [±=+/-]
So a polynomial would be:
f(x)=(x-(-4-5i))(x-(-4+5i))(x--2)(x--2)
or, simplifying
f(x)=(x+4+5i)(x+4-5i)(x+2)^2
=x^4+12x^3+77x^2+196x+164 [if you decide to expand]
is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).
General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
<em>y-intercept is the point which line crosses at y-axis.</em>
In the given line, y-intercept is 4.
c = 4
Slope of the line:
Equation of the line:
y = mx + c
Hence is the equation best represents the line.
Answer:
x = 5
Step-by-step explanation:
18x-30-7x = 25
11x = 55
x = 55/11
x=5
Answer:
D. The standard deviation is known and n > 30.
Step-by-step explanation:
- Your sample size is greater than 30.
- Data points should be away from each other.
- Your data should be commonly categorized.
- Your data should be randomly picked from a population. Each item should have an equal chance of being selected.
- The sample sizes should be equal.
Answer:
86
Step-by-step explanation:
let four consecutive integers: n , n+1 , n+2 , n+3
n + n+1 + n+2 + n+3 = 342
4n + 6 = 342
4n + 6 - 6 = 342 - 6
4n = 336
divid by : 4
n = 84
but the third term is : n +2 so : 84+2 = 86
