Answer:
The rule or operation in this sequence is multiplication by 3.
Step-by-step explanation:
2*3=6
6*3=18
18*3=54
and so on...
Answer:
If 
is the transformed function, then the parent function 
has been shifted up vertically by 4 units and horizontally right by 2 units
Step-by-step explanation:
Assume the function is 
is the parent function.
A vertical shift,b units up will transform the function to 
.
A horizontal shift 
units.
For instance, if , b=4, and a=2 units.
Then the transformed function becomes:
The answer is 54 square units.
let the vertex in quadrant I be (x,y)
<span>then the vertex in quadratnt II is (-x,y) </span>
<span>base of the rectangle = 2x </span>
<span>height of the rectangle = y </span>
<span>Area = xy </span>
<span>= x(27 - x</span>²<span>) </span>
<span>= -x</span>³<span> + 27x </span>
<span>d(area)/dx = 3x</span>²<span> - 27 </span><span>= 0 for a maximum of area </span>
<span>3x</span>²<span> = 3 x 3</span>² = <span>27 </span>
<span>x</span>²<span> = 9 </span>
<span>x = ±3 </span>
<span>y = 27-9 = 18 </span>
So, the largest area = 3 x 18 = 54 square units
Answer:
$18.15
Step-by-step explanation:
Given that price before tax = $220
State sales tax rate = 4.6%
Dollar amount of state sales tax,
= 4.6% x $220
= 0.046 x 220
= $10.12
County sales tax rate = 3.65%
Dollar amount of state sales tax,
= 3.65% x $220
= 0.0365 x 220
= $8.03
Total amount of sales tax = $10.12 + $8.03 = $18.15
