Let f(x)=x^2+5x-36. enter the x-intercepts of the quadratic function in the boxes. __and __

show the work and answer

x = - 9, x = 4

Step-by-step explanation:

The x- intercepts are the values of x where the graph of the function crosses the x- axis.

To obtain them set f(x) = 0, that is

x² + 5x - 36 = 0

To factor the quadratic.

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)

The factors are + 9 and - 4, since

9 × - 4 = - 36 and 9 - 4 = + 5, thus

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2