<h3>
Answer:</h3>
- a_n = -3a_(n-1); a_1 = 2
- a_n = 2·(-3)^(n-1)
<h3>
Step-by-step explanation:</h3>
A) The problem statement tells you it is a geometric sequence, so you know each term is some multiple of the one before. The first terms of the sequence are given, so you know the first term. The common ratio (the multiplier of interest) is the ratio of the second term to the first (or any term to the one before), -6/2 = -3.
So, the recursive definition is ...
... a_1 = 2
... a_n = -3·a_(n-1)
B) The explicit formula is, in general, ...
... a_n = a_1 · r^(n -1)
where r is the common ratio and a_1 is the first term. Filling in the known values, this is ...
... a_n = 2·(-3)^(n-1)
Answer:
Step-by-step explanation:
Given quadratic equation is,
y = -2x² + 4x + 5
y = -2(x² - 2x) + 5
y = -2(x² - 2x + 1 - 1) + 5
y = -2(x² - 2x + 1) + 2 + 5
y = -2(x - 1)² + 7
This equation is in the vertex form of the quadratic equation,
y = a(x - h)² + k
where, (h, k) is the vertex of the parabola.
Therefore, vertex of the given quadratic equation is (1, 7)
The equation can be rewritten as y = -2(x - 1)² + 7.
Therefore, the vertex of the graph of the function y = -2x² + 4x + 5 in the xy-coordinate plane is located at the point (1, 7).
Answer:
(x+2) (x+6)
Step-by-step explanation:
x^2+8x+12
What 2 numbers multiply together to give you 12 and add together to give you 8
2*6 = 12
2+6 = 8
(x+2) (x+6)
Answer:
x = -2
Step-by-step explanation:
y = -3x + 2.5
if y = 8.5 then:
8.5 = -3x + 2.5
-3x = 6
x = -2
Okay add 78 and 66. Then add 96 and 108. It should be 144 by 204. I know math is hard, but when you work at it you can do amazing things! I hope that helps you.
