Answer: Graph D will be correct graph for the given function.
Explanation:
Given function 
Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.
Moreover, the degree of the function is even thus the end behavior of the function is
, as 
and as 
In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph 
, as and , as .) so, it can not be the graph of given function.
In graph B, neither it has four root nor it has the end behavior same as function f(x).(because in this graph as and as .) so, it can not be the graph of given function.
In graph C, neither it has four root nor it has the same end behavior as function f(x).(because in this graph as and as
.) so, it also can not be the graph of given function.
In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).
Thus, graph D is the graph of given function.
Literal equations, simply put, are equations containing two or more variables. Your goal is to solve for just one variable with respect to others. If you know how to solve regular equations, then I guarantee you that solving literal equations will be a breeze.
The "heart" of literal equation is to isolate or keep by itself a certain variable on one side of the equation (either left or right) and the rest on the opposite side.
He gets 8 dollars every hour. :)
Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
Answer:
The length of the rectangle is 9 cm
Step-by-step explanation:
Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = 
cm a
Also, perimeter of rectangle is 24 cm.
Perimeter of rectangle is to add the lengths of all the four sides.
Perimeter of rectangle (P) is given by;
P=2(l+w)
Substituting the value of P = 24 cm , l = (x+3) cm and w =
then,
Divide by 2 both sides of an equation;
Combine like terms;
Subtract 3 from both the sides we get;
Simplify:
Multiply both sides by 
we get
Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm
