First of all we know the
Absolute Value Function that is:

This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:

The term:

means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:

means that the function

is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
Answer:
Step-by-step explanation:
x² - 24x + 5 = 0
x² - 24x = -5
Now divide the co efficient of x by 2 and square the quotient and add to both sides
24/2 = 12
12² = 144. Now add 144 to both sides of the equation.
x² - 24x + 144 = 5 + 144
x² - 24x + 144 = 149
x² - 2*12*x + 12² = 149
(x - 12)² = 149
Both sides take square root
x - 12 = ±√149
x = 12 ± √149
Answer:
<em>700$.</em>
Step-by-step explanation:
20 ÷ 100 = <em>0.2</em>
0.2 x $3,500 = <em>700$</em>
Answer: d=5
Step-by-step explanation:
Arithmetic progression
An=a1+d(n-1)
An= nth term
A1= first term
D= common difference
N= nth position
We are given the 4th and 7th terms
For 4th term,n=4
A4=a1+d(4-1)
A4= 16
16= a1+d(4-1)
16= a1+3d........equation 1
For the 7th term,n=7
A7=a1+d(7-1)
A7= 31
31=a1+6d......equation 2
Bring them together
16=a1+3d
31=a1+6d
Subtract equation 1 from 2
So we have
15=3d
D=15/3
D=5
Therefore, the common difference is 5
Answer:
42.35
Step-by-step explanation:
hope it helps po.