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:
5,000
Step-by-step explanation:
SORRY IF WRONG
Answer:
4 × 10¹⁰ > 2 × 10⁵
Step-by-step explanation:
Given that,
Two numbers in scientific notation.
First number: 4 × 10¹⁰
Second number: 2 × 10⁵
To compare scientific notation number.
First check the exponent of 10
If exponent is larger then number becomes larger.
First number exponent is 10 and second number exponent if 5
10 > 5
Therefore,
4 × 10¹⁰ > 2 × 10⁵
Answer: Yes
Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.
Answer:
look up surface area calculator
Step-by-step explanation: