What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36? a. (−4, 0) and (9, 0) b. (4, 0) and (−9, 0) c. (−3, 0) and (12, 0) d. (3, 0) and (−12, 0)

we have

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

so

Equate the function to zero and solve for x

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

therefore

the x-intercepts are the points

the answer is the option

B. (4, 0) and (−9, 0)

10 * 563.67 = 5636.7

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".