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
One inch of board is left
if you subtract the two 3 inches pieces from the board
the further subtract the 24 inches from the three 8 inches pieces you get 31-30
Answer:
Rational number
Step-by-step explanation:
If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator.
Answer:
y = 0
Step-by-step explanation:
The line y = 0 is cutting your triangle in half with perfect symmetry.
Answer:
(
x
)
=
x
(
x
2
−
x
−
6
)
=
x
(
x
−
3
)
(
x
+
2
)
=
0
x
=
0
,
x
=
3
,
x
=
−
2
Explanation:
To find the zeros of the polynomial above first factor out the common factor then factor the remaining polynomial and set it equal to zero. Finally solve for x.
Step-by-step explanation:
