Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
Answer:
With what? i dont see the picture
Step-by-step explanation:
Answer:
y = -6 + 2x
Step-by-step explanation:
Answer:
25 = x
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
5x+15 = 6x -10
Subtract 5x from each side
5x-5x+15 = 6x-5x -10
15 = x - 10
Add 10 to each side
15+10 = x-10+10
25 = x
Answer: I think the two trains meet at 9pm
Explanation: A=train a B=train b
If A is traveling for 6 hours and B is traveling for 3 hours, then you minus 3 hours from A, so you are left with 3 hours. Convert that into time, and you are left with 9pm!
Hope this helps! :)