x(greater than or equal to)5
The graphs are attached.
f(x) to g(x) is translated 2 left and down 3.
f(x) to h(x) is shrunk by a factor of 2 and translated down 2.
f(x) to d(x) is stretched by a factor of 1/2 and translated up 2.
A number added to x inside parentheses shifts the graph left or right. A number added to the end of the function shifts the graph up or down. A number in front of x that is larger than 1 shrinks the graph, and a number in front of x that is smaller than 1 stretches the graph.
Answer:
point(3.5 , 7.25)
Step-by-step explanation:
Given in the question,
pointA(2,8)
pointB(8,5)
To find,
A point which partition AB into 1:3
x1 = 2
x2 = 8
y1 = 8
y2 = 5
a = 1
b = 3
Formula to use
<h3>x' = x1 + (a/a+b)(x2-x1)</h3><h3>y' = y1 + (a/a+b)(y2-y1)</h3>
Plug in the values
x' = 2 + (1/1+3)(8-2)
= 3.5
y' = 8 + (1/1+3)(5-8)
= 7.25
So, point(3.5 , 7.25) partitions the directed line segment AB into a 1:3 ratio
Answer: $52556.40
Step-by-step explanation:
Price per share = $112.30
Number of shares = 450
Cost of the shares = 450 × $112.30 = $50535
Since there is a 4% commission, the total cost of the purchase will be:
= $50535 + (4% × $50535)
= $50535 + (0.04 × $50535)
= $50535 + $2021.40
= $52556.40