Answer: OPTION C
Step-by-step explanation:
2. The parent function of a linear function is the simplest form of a linear function and this is:
f(x)=x. Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2
3. If you take the parent function and make f(x)-1, then you have:
f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).
4. Then you make -2f(x), as following:
y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).
5. That is how you obtain the final function.
Answer:
0.25
Step-by-step explanation:
Given that a club can select one member to attend a conference. All of the club officers want to attend. There are a total of four officers, and their designated positions within the club are President (P), Vice dash President (Upper V )comma Secretary (Upper S )comma nbspand Treasurer (Upper T ).
Sample space would be
a){ {P}, {V}, {S} {T}} is the sample space with notations standing for as given in the question
b) Each sample is equally likely. Hence we have equal chances for selecting any one out of the four.
If probability of selecting a particular sample of size I is p, the by total probability axiom we have

value of x lies in number line as
and
.
<u>Step-by-step explanation:</u>
Here , we need to tell where on a number line the value of x is for expression
. Let's find out:
We know that for a Modulus function the value inside modulus is both positive & negative depending on value of x , So
x is positive :
Equation will be
⇒
, That means all numbers which are greater than 1 are included i.e. from 1 to 10 , where 1 is not included as x is strictly greater than 1 .
x is negative :
Equation will be
⇒ 
⇒ 
⇒
, That means all numbers which are less than -1 are included i.e. from -1 to -10 , where -1 is not included as x is strictly less than -1 .
Therefore , value of x lies in number line as
and
.
The expression 6x^2-1 cannot be factored or simplified any further.