X²+20=0
x=±√(-80)/2
x=±4i√5/2=2i√5
factorised it is then
(x+2i√5)*(x-2i√5)
Answer:
The probability that a randomly selected monthly cell phone bill is less than $95 is 0.9772
Step-by-step explanation:
The average monthly household cellular phone bill is $73.
Local monthly household cell phone bills are normally distributed with a standard deviation of $11.
We are supposed to find the probability that a randomly selected monthly cell phone bill is less than $95 i.e.P(x<95)
Z=2
Refer the z table for p value
So,p value = 0.9772
Hence the probability that a randomly selected monthly cell phone bill is less than $95 is 0.9772
Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Answer:
100
Step-by-step explanation:
Put the values where the corresponding variables are, then do the arithmetic.
(-4 -2)^2 +(3 -(-5))^2
= (-6)^2 +(8)^2
= 36 +64 = 100
Quadratic polynomial x^2 - x - 6 = f(x)
binomial (x-3)
dividing:-
x + 2
----------------------
x - 3 ) x^2 - x - 6
x^2 - 3x
----------
2x - 6
2x - 6
--------
.........
result of division is (x + 2)
s o we can write the function as (x - 3)(x + 2)
Part 2 f(a) = f(3) = (3)^2 - 3 - 6 = 0
Part3 The remainder Theorem states that the remainder when a polynomial is divided by (x - a) then the remainder is f(a). If f(a) = 0 then x - a is a factor.
In the above case f(3) = 0 therefore (x - 3) is a factor of our polynomial.
