Answer:
Step-by-step explanation:
Given
Required
Find b
implies that:
Collect like terms
D = 2*3 -10 = -4
The n-th term of the sequence is
.. t[n] = 3 +d(n -1) = 7 -4n
Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
You can recall that
f(x-c) is shifting to the right by c units
f(x+c) is shifting to the left by c units
f(x)+c is shifting up by c units
f(x)-c is shifting down by c units
given that f(x)=1/x
g(x)=f(x+4)-6 thus f(x) is shifted to the left 4 units and down 6 units
49% because there's 98% that the test is right BUT you only have 0.5% chance to actually have it, so 98×0.5=49
