true or false? .the numbers of ways to select 3 out of 4 distinct objects with repetition allowed is c(4,3).

False

Step-by-step explanation:

Given that 3 objects are drawn from 4 distinct objects with replacement.

Whenever we draw with replacement combination formula will not be appropriate.

The real solution would be as follows:

I object can be taken in 4 ways

II object also in 4 ways (since replacement)

and III object also in 4 ways

Hence total number of ways to select 3 out of 4 distinct objects with repetition allowed

=

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4