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
Answer:
N = 15 ; P = 0.3
Step-by-step explanation:
According to the question, the data provided in the question is as follows
The percentage of parolees from prison return to prison = 30%
Number of years = 3 years
Number of prisoners released from a Texas prision is 15
Based on the above information, the value of the parameters for the binomial random variable X is
N = 15 = number of prisoners
And, the P = Percentage = 30% = 0.3
Answer:
Step-by-step explanation:
The given exponential form is:
The base of the given expression on the right is 13 and the exponent is 2.
The number is 169.
In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.
