What two numbers multiply to get 42 and add to get 25
1 answer:
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Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± = ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Answer:
See below and attachment
Step-by-step explanation:
<u>Given function:</u>
- y = -2(x - 3)² + 4
<em>The graph is attached and the axis of symmetry and all the required points plotted </em>
a) Axis of symmetry:
- x = 3
b) It has no minimum as the leading coefficient is negative.
- Maximum value is at vertex- the point (3, 4).
- Maximum value is y = 4
c) and d) x - and y - intercepts already given in the question
e) Domain is all real numbers. x = ( -∞, +∞ )
Range is y = ( - ∞, 4]
