Given the statement:

“if two lines intersect, then the intersection is a point.”

what is the hypothesis

a. points have intersection

b. intersection happens at a point
c. two lines intersect

d. intersection is a point

 the correct option is

(C) Two lines intersect.

Step-by-step explanation:  We are given the following conditional statement :

"If two lines intersect, then the intersection is a point."

We are to select the sentence that is the hypothesis of the given statement.

We know that

in the conditional statement, "if p, then q", p is the hypothesis and q is the conclusion.

Therefore, the hypothesis in the given conditional statement is

"Two lines intersect."

Thus, (C) is the correct option.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option