Answer:

Step-by-step explanation:
As per the given question
As we know that
f(x) and x are related by following equation

where
b is the common ratio
Now first we have to compute the value for b which are as follows


Like if we take the ratio by this method than it comes 1.25
Therefore the common ratio, b = 1.25
So,
a = 5,120
Hence, the equation which model the relationship between the number of weeks and the number of viewers is

Step-by-step explanation:
-16 + 3n = - 8 - 5n
Bringing like terms on one side
3n + 5n = - 8 + 16
8n = 8
n = 8/8
N = 1
Answer:
12:28 = 3:7
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 12 and 28 is 4
Divide both terms by the GCF, 4:
12 ÷ 4 = 3
28 ÷ 4 = 7
The ratio 12 : 28 can be reduced to lowest terms by dividing both terms by the GCF = 4 :
12 : 28 = 3 : 7
Therefore:
12 : 28 = 3 : 7
Answer:
(-5, -8)
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
x^2 + 10x = - 17
x^2+10x+17=0
x^2+2*5x+25 - 8=0
(x+5)^2-8=0
h=-5, k= -8
vertex is (-5, -8)