Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
Answer:
B)3x^2 (4*x^2 + 2x + 6)
Step-by-step explanation:
Step 1: Find the Greatest common factor of the given expression.
12x^4 + 6x^3 + 18x^2
The above expression can be written as .
= 2*2*3*x^4 + 2*3*x^3 + 2*3*3*x^2
Here 3x^2 is prime factor
Step 2: Let's take out the 3
and write the remaining terms in the parenthesis.
= 3x^2 (2*2*x^2 + 2x + 2*3)
= 3x^2 (4x^2 + 2x + 6)
Therefore, the answer is B)3x^2 (4*x^2 + 2x + 6)
Thank you.
I am pretty sure your answer is going to be 243
I hope this helps, and good luck!!
The approximate area that is within range of the motion sensor is 4975 square meters
<h3>How to determine the area of the range?</h3>
The figure is not given, however the area of the range can be calculated without the figure.
The given parameters are:
Angle, ⊕ = 135°
Radius, r = 65 meters
The area of the range is calculated using the following sector area

This gives

Evaluate
A = 4974.9375
Approximate
A = 4975
Hence, the approximate area that is within range of the motion sensor is 4975 square meters
Read more about sector areas at:
brainly.com/question/16736105
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Answer:
-1.5
Step-by-step explanation:
- 2 (y-2) = 4y + 8 - 2 (-4y - 3)
- 2y-4=4y+8+8y+6
- 2y-4=12y+14
- -4-14=14y-2y
- -18=12y
- y=-18/12
- y=-1.5