Use photo math it will help
Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Answer:
the required probability is 0.09
Option a) 0.09 is the correct Answer.
Step-by-step explanation:
Given that;
mean μ = 7
x = 4
the probability of exactly 4 bridge construction projects taking place at one time in this state = ?
Using the Poisson probability formula;
P( X=x ) = ( e^-μ × u^x) / x!
we substitute
P(X = 4) = (e⁻⁷ × 7⁴) / 4!
= 2.1894 / 24
= 0.0875 ≈ 0.09
Therefore the required probability is 0.09
Option a) 0.09 is the correct Answer.
Answer:
<h2>x = 21</h2>
Step-by-step explanation:
3x + 1 + 5x = 7 + 15 + 7x <em>combine like terms</em>
(3x + 5x) + 1 = (7 + 15) + 7x
8x + 1 = 22 + 7x <em>subtract 1 from both sides</em>
8x = 21 + 7x <em>subtract 7x from both sides</em>
x = 21
Answer:
-57/25 or -2 7/25 or - 2.28
Step-by-step explanation: