Finding the axis of symmetry.
1) Identify a, b, and c in the equation
f(x) = 4x² - 1 ⇒ a = 4 ; b = 0 ; c = -1
g(x) = x² - 8x + 5 ⇒ a = 1 ; b = -8 ; c = 5
h(x) = -3x² - 12x + 1 ⇒ a = -3 ; b = -12 ; c = 1
2) Formula of the axis of symmetry
x = -b/2a
f(x) ⇒ x = -0/2(4) = 0
g(x) ⇒ x = -(-8)/2(1) = 8/2 = 4
h(x) ⇒ x = -(-12)/2(-3) = 12/-6 = -2
Rank from least to greaters: -2, 0, 4 ⇒ h(x) ; f(x) ; g(x) CHOICE D
-$22.25 + $30.00 = $7.75
$7.75 - $2.75 = $5.00
final account balance = $5.00
Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
Answer:
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