The graph at the right shows a function, f, graphed on the
domain 0 < x < 8.
The section from A to B is a
straight segment.
The section from B to C is
represented by y = (x - 5)^2

1. Find the slope of the segment from A to B.

2. Find the x-coordinate of the relative minimum
value of the graph from B to C.

3. Find the value of f (3) + f (4) + f (6) + f (7).

Step-by-step explanation:

1). Since, line segment AB passes through two points ((0, 0) and (3, 4)

Therefore, slope of the segment =

                                                        =

                                                        =

2). Relative minimum of the graph from B to C → (5, 0)

   Therefore, x-coordinate of the relative minimum → x = 5

3). From the graph attached,

   f(3) = 4

   f(4) = 1

   f(6) = 1

   f(7) = 4

   Therefore, f(3) + f(4) + f(6) + f(7) = 4 + 1 + 1 + 4

                                                          = 10

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".