Answer:
Step-by-step explanation:
The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1). We don't yet know a(1).
If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or
128 = a(1)*(1/16)
and so a(1) = 128/16
resulting in the specific formua a(n) = 8(-1/4)^(n - 1)
Now let's find a(7):
a(7) = 8(-1/4)^1 * (-1/4)^(6)
or
a(7) = 8(-1/4)^7
Answer:
15/100 this is the fraction for 15%
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
Answer:
37.5% decrease
Step-by-step explanation:
To find a relative percentage you generally follow the rule of part divided by whole.
$100 / $160 = .625 (62.5%)
So $100 is 62.5% of $160
To find the decrease we need to subtract 62.5% from 100%
100 - 62.5 = 37.5
Answer:
x = -4
Step-by-step explanation:
x = 3 - 7
x = - (7 - 3)
x = -4
