Because the coefficient of x^2 is -1, we know that a will be -1. Knowing that the coefficient of x is -4, we can calculate that p=2. Thus, we have -1(x+2)^2+q is our equation. This is equal to -x^2-4x-4+q. As the constant term must be 2, we can then see that q is 6.
As such, we have -1(x+2)^2+6=0 as our factorization.
To solve this equation, we can use the quadratic formula. Plugging in values, we have:
which is equal to: (when the fraction is simplified)
Answer:
145⁰
Step-by-step explanation:
180 minus 73⁰ plus 62⁰
which is 180 minus 135
145⁰
Answer:
Correct answer is: f(1) = - 21 , f(n) = - 3 · f(n -1)
Step-by-step explanation:
Given geometric sequence: -21, 63, -189, 567,.........................
Formula for n-th term or a₍ₙ₎ = f(n) = a₁ · q ⁽ⁿ⁻¹⁾ where a₁ is first term and q is quotient (ratio). Formula for (n-1) th term or a₍ₙ₋₁₎ = f(n-1) = a₁ · q ⁽ⁿ⁻²⁾
In this case a₁ = -21 and q = -3
a₍₁₎ = f(1) = -21 · (-3)⁽¹⁻¹⁾ = -21 · (-3)⁰ = -21
f(n) = q¹ · f(n - 1) = q¹ · a₁ q ⁽ⁿ⁻²⁾ = a₁ · q ⁽ⁿ⁻¹⁾ = f(n)
In this case q = -3
f(n) = -3 · f(n -1)
God with you!!!
Answer: 1/8
Step-by-step explanation:
Unit Fractions: A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n.
Example of Unit Fractions: 1/1, 1/2, 1/3, 1/4 ,1/5, etc.
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Answer:
48
132
14
4
9
72
66
Step-by-step explanation:
Just plug in the numbers and solve. Be sure to solve in the correct order