X ÷ 4 = 8
Multiply each side by 4
x = 32
He subtracted 4 from 12 and got 8
Answer : The fifth term in the sequence is -2.
Step-by-step explanation :
As we are given that the expression to calculate the
term.
The expression is as follows:

where,
n is the number of term
Given:
n = 5
Now putting the value of n in the above expression, we get:




Therefore, the fifth term in the sequence is -2.
Y=mx+b always
Your welcome
Answer:
Option B
Step-by-step explanation:
Given equation is

The original graph would be

From this transformations done are
a) horizontal shift of 5 units to the left
b) shrink vertical by scale factor 1/5
c) vertical shift of 2 units up
Hence option A is not right
Option B is right.
Similarly C and D are not right.
We are given parabola equation y=x^2-10x+30.
We need to convert it in vertex form y= a(x-h)^2+k.
We need to find the value of a, h and k to get the vertex form.
For the given equation y=x^2-10x+30, the coefficient of x^2 is 1.
Therefore, a=1.
Now, let us find values of h and k.
h = -b/2a.
h = -(-10)/2(1) = 5.
Plugging x=5 in given equation to get the value of k.
y= x^2-10x+30 => (5)^2 -10(5) +30 = 25 -50 +30 = 5.
Therefore, k =5.
Therefore, vertex (h,k) = (5,5).
<h3>So, the vertex form is </h3>
