What are the x- and y-intercepts of the graph of y = x2 + x − 6?
a) x-intercepts: (3, 0) and (2, 0)
y-intercept: (0, 6)
b) x-intercepts: (3, 0) and (−2, 0)
y-intercept: (0, −6)
c) x-intercepts: (−3, 0) and (2, 0)
y-intercept: (0, −6)
d) x-intercepts: (−3, 0) and (2, 0)
y-intercept: (0, 6)
to anyone that !

C

Step-by-step explanation:

To find the y- intercept let x = 0, hence

y = 0 + 0 - 6 = - 6 ⇒ (0, - 6) ← y- intercept

To find the x- intercepts let y = 0, that is

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Hence x- intercepts are (- 3, 0) and (2, 0)

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18