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]
Answer:
q =90
Step-by-step explanation:
q/18=5
Multiply each side by 18
q/18 * 18=5* 18
q =90
Is there any more to this question? Because-5 doesn’t belong anywhere
Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.
Answer:
$ 75.
Step-by-step explanation:
From the information above,
List price of model II = $240
Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.
Therefore,
Let the sale price be X,
= (1/4)*(list price) + (1/5)*X
X = (1/4)*(240) + (1/5)*X
X = 60 + (1/5)X
Solving for X,
X - (1/5)X = 60
(4/5)X = 60
X = (60*5)/4
= $75.
